Pub Date : 2023-11-08DOI: 10.1209/0295-5075/ad0aef
Ying-Ying Wang, Hai-Jun Luo
Abstract Given that the limited complexity of most current 2D maps undermines chaos-based practical applications, this paper proposes a 2D Logical Cosine Coupled Map (2D-LSCCM) and compares the bifurcation maps, Lyapunov exponent spectrum, and spectral entropy complexity of the classical 2D chaos model. Based on this model, this paper proposes an image encryption scheme using ascending alignment permutation and XOR pixel diffusion algorithm. After a series of tests, such as chi-square test, anti-attack test, key sensitivity test, and correlation test, the simulation findings show that the chaotic system proposed in this paper has excellent security performance compared with other systems. Moreover, a hardware platform based on DSP (Digital Signal Processing) and NIST test have been developed to analyze and test chaotic sequences.
{"title":"Application of two-dimensional chaotic system and implementation of DSP","authors":"Ying-Ying Wang, Hai-Jun Luo","doi":"10.1209/0295-5075/ad0aef","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0aef","url":null,"abstract":"Abstract Given that the limited complexity of most current 2D maps undermines chaos-based practical applications, this paper proposes a 2D Logical Cosine Coupled Map (2D-LSCCM) and compares the bifurcation maps, Lyapunov exponent spectrum, and spectral entropy complexity of the classical 2D chaos model. Based on this model, this paper proposes an image encryption scheme using ascending alignment permutation and XOR pixel diffusion algorithm. After a series of tests, such as chi-square test, anti-attack test, key sensitivity test, and correlation test, the simulation findings show that the chaotic system proposed in this paper has excellent security performance compared with other systems. Moreover, a hardware platform based on DSP (Digital Signal Processing) and NIST test have been developed to analyze and test chaotic sequences.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135341098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-08DOI: 10.1209/0295-5075/ad0ac3
Dong-Xu Cui, Jia-Lin He, Feng Lin, Jie Ru, Wei-Ping Ren
Abstract Maximizing the range of disease or information spread is a hot research topic in complex networks. In particular, the dispersion among a group of nodes and the spreading ability of a single node are two vital factors in the propagation process. However, although some traditional algorithms have considered both factors, they have failed to address the balance between them, which resulted in critical nodes identified that are not conducive to maximizing the propagation range. So, this paper proposes metrics to quantify the dispersion of a group of nodes, the local spreading ability of a single node, and then designs an objective function fusing these two metrics to identify critical nodes, which automatically searches for a balance between these two vital factors during the optimization process. We evaluate the proposed algorithm against seven baseline algorithms on three synthetic networks and nine real networks based. Experimental results show that our algorithm is better than some of the centrality-based and heuristic algorithms.
{"title":"A research of a strategy to balance the importance and dispersion of multiple critical nodes","authors":"Dong-Xu Cui, Jia-Lin He, Feng Lin, Jie Ru, Wei-Ping Ren","doi":"10.1209/0295-5075/ad0ac3","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0ac3","url":null,"abstract":"Abstract Maximizing the range of disease or information spread is a hot research topic in complex networks. In particular, the dispersion among a group of nodes and the spreading ability of a single node are two vital factors in the propagation process. However, although some traditional algorithms have considered both factors, they have failed to address the balance between them, which resulted in critical nodes identified that are not conducive to maximizing the propagation range. So, this paper proposes metrics to quantify the dispersion of a group of nodes, the local spreading ability of a single node, and then designs an objective function fusing these two metrics to identify critical nodes, which automatically searches for a balance between these two vital factors during the optimization process. We evaluate the proposed algorithm against seven baseline algorithms on three synthetic networks and nine real networks based. Experimental results show that our algorithm is better than some of the centrality-based and heuristic algorithms.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135341263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-07DOI: 10.1209/0295-5075/ad0a3f
. Vinita, Santanu Saha Ray
Abstract In this paper, a methodical procedure is proposed for the identification of nonlocal symmetries
of the (1+1)-dimensional Tzitzeica-Dodd-Bullogh equation. Firstly, by introducing a set
of canonical coordinates corresponding to the local Lie point symmetries, the considered partial
differential equation (PDE) is mapped to an invertibly equivalent PDE system. Furthermore,
nonlocal symmetries are obtained from the inverse potential system of the invertibly equivalent
PDE system. The exact solutions for the aforementioned PDE are acquired with the help of the
extended generalized Kudryashov method corresponding to the admitted point symmetries. In
addition, using a symmetry-based technique and local conservation principles, a complete tree of
nonlocally associated PDE systems has been constructed. Additionally, the derivation of local
conservation laws for the Tzitzeica-Dodd-Bullogh equation is obtained through the multiplier
method.
{"title":"Nonlocal symmetries, nonlocally related systems, similarity solutions and conservation laws of Tzitzeica-Dodd-Bullogh equation","authors":". Vinita, Santanu Saha Ray","doi":"10.1209/0295-5075/ad0a3f","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0a3f","url":null,"abstract":"Abstract In this paper, a methodical procedure is proposed for the identification of nonlocal symmetries
of the (1+1)-dimensional Tzitzeica-Dodd-Bullogh equation. Firstly, by introducing a set
of canonical coordinates corresponding to the local Lie point symmetries, the considered partial
differential equation (PDE) is mapped to an invertibly equivalent PDE system. Furthermore,
nonlocal symmetries are obtained from the inverse potential system of the invertibly equivalent
PDE system. The exact solutions for the aforementioned PDE are acquired with the help of the
extended generalized Kudryashov method corresponding to the admitted point symmetries. In
addition, using a symmetry-based technique and local conservation principles, a complete tree of
nonlocally associated PDE systems has been constructed. Additionally, the derivation of local
conservation laws for the Tzitzeica-Dodd-Bullogh equation is obtained through the multiplier
method.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135539506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-03DOI: 10.1209/0295-5075/ad0998
Baifeng Li, Xiao Zhang, Zhenyu Shi, Wei Wei
Abstract We investigate the concurrent effect of the justice strategy and dynamic aspirations on cooperation in evolutionary game theory. The justice strategy refers to a game in which players play the role of cooperators in the case of cooperation, the role of punishers in the face of defection, and receive the same payoff as their opponents. Players compare the payoffs with their own dynamic aspirations to decide whether to change their strategy. Through simulations, we demonstrate the effectiveness of our model in promoting cooperation and reducing or completely eliminating defections. A higher initial aspiration has a significant impact on reducing defection. Additionally, we find that diverse evolutionary dynamics arise from various initial settings. Remarkably, in specific situations, even a tiny initial fraction of justicers can rapidly retaliate and eventually dominate the entire system. Reflecting real-life scenarios, the influence of punishment typically lags behind the occurrence of defection, allowing justicers to gradually counteract defection upon its cluster emergence.
{"title":"Justice strategy can promote cooperation with the joint of dynamic aspiration in social dilemma","authors":"Baifeng Li, Xiao Zhang, Zhenyu Shi, Wei Wei","doi":"10.1209/0295-5075/ad0998","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0998","url":null,"abstract":"Abstract We investigate the concurrent effect of the justice strategy and dynamic aspirations on cooperation in evolutionary game theory. The justice strategy refers to a game in which players play the role of cooperators in the case of cooperation, the role of punishers in the face of defection, and receive the same payoff as their opponents. Players compare the payoffs with their own dynamic aspirations to decide whether to change their strategy. Through simulations, we demonstrate the effectiveness of our model in promoting cooperation and reducing or completely eliminating defections. A higher initial aspiration has a significant impact on reducing defection. Additionally, we find that diverse evolutionary dynamics arise from various initial settings. Remarkably, in specific situations, even a tiny initial fraction of justicers can rapidly retaliate and eventually dominate the entire system. Reflecting real-life scenarios, the influence of punishment typically lags behind the occurrence of defection, allowing justicers to gradually counteract defection upon its cluster emergence.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135819080","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract In this paper, we propose a multi-polarized Fabry-Pérot resonator cavity (MPFPRC) by integrating multilayer partially reflective metasurface (MPRM), the feed of multi-polarized slot coupling patch antenna and the reflective ground in X-Band. The MPRM consists of first-layer square metal patches, second-layer metal ground with square slots, third-layer square metal patches and fourth-layer partially reflective patches. Based on the MPRM, the proposed MPFPRC is capable of transforming 0°, 45° and -45° linearly polarized (LP) waves emitted by the feed into LP beam, left-handed circularly polarized (LHCP) beam and right-handed circularly polarized (RHCP) beam, respectively. Finally, the designed MPFPRC is simulated, processed and measured. The experimental results verify that the -3dB gain bandwidth of LP is 9.1-10.2 GHz, the -3dB gain bandwidth and 3dB axial ratio bandwidth of the LHCP are 9.0-10.0 GHz and 9.2-10.0 GHz, and the -3dB gain bandwidth and 3dB axial ratio bandwidth of the RHCP are 9.0-10.0 GHz and 9.3-10.0 GHz.
{"title":"Multi-polarized Fabry-Pérot resonator cavity using multilayer partially reflective metasurface in X-Band","authors":"Pei Yang, Bo Dang, Lipin Li, Zhiping Ren, Ruirong Dang, Huiqin Jia","doi":"10.1209/0295-5075/ad0953","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0953","url":null,"abstract":"Abstract In this paper, we propose a multi-polarized Fabry-Pérot resonator cavity (MPFPRC) by integrating multilayer partially reflective metasurface (MPRM), the feed of multi-polarized slot coupling patch antenna and the reflective ground in X-Band. The MPRM consists of first-layer square metal patches, second-layer metal ground with square slots, third-layer square metal patches and fourth-layer partially reflective patches. Based on the MPRM, the proposed MPFPRC is capable of transforming 0°, 45° and -45° linearly polarized (LP) waves emitted by the feed into LP beam, left-handed circularly polarized (LHCP) beam and right-handed circularly polarized (RHCP) beam, respectively. Finally, the designed MPFPRC is simulated, processed and measured. The experimental results verify that the -3dB gain bandwidth of LP is 9.1-10.2 GHz, the -3dB gain bandwidth and 3dB axial ratio bandwidth of the LHCP are 9.0-10.0 GHz and 9.2-10.0 GHz, and the -3dB gain bandwidth and 3dB axial ratio bandwidth of the RHCP are 9.0-10.0 GHz and 9.3-10.0 GHz.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135875975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-11-02DOI: 10.1209/0295-5075/ad0952
Andrij Kuzmak, V. M. Tkachuk
Abstract We consider simulation of the high spins on a quantum computer. The protocols which allow one to measure the mean value of spin and correlations between spins are proposed. As a result, we determine the time-dependence of the mean values of spin-1 in the magnetic field prepared on the ibmq-santiago quantum computer. In addition, we study the evolution of two interacting spins on the ibmq-santiago quantum computer. The time-dependencies of mean value of spin-1 and correlations between these spins are detected. Finally, we generalize these protocols for the spins of an arbitrary values.
{"title":"Probing mean values and correlations of high-spin systems on a quantum computer","authors":"Andrij Kuzmak, V. M. Tkachuk","doi":"10.1209/0295-5075/ad0952","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0952","url":null,"abstract":"Abstract We consider simulation of the high spins on a quantum computer. The protocols which allow one to measure the mean value of spin and correlations between spins are proposed. As a result, we determine the time-dependence of the mean values of spin-1 in the magnetic field prepared on the ibmq-santiago quantum computer. In addition, we study the evolution of two interacting spins on the ibmq-santiago quantum computer. The time-dependencies of mean value of spin-1 and correlations between these spins are detected. Finally, we generalize these protocols for the spins of an arbitrary values.
","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135875379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-31DOI: 10.1209/0295-5075/ad087b
Jana Reda, Mathias Fink, Fabrice Lemoult
Abstract The auditory system possesses remarkable characteristics: super sensitivity and frequency selectivity. However, these traits come at the cost of non-fidelity due to non-linear effects.The culprit behind this active behavior is likely the haircells, as suggested by some in vivo observations and theoretical studies. These haircells appear to operate as non-linear oscillators near a Hopf bifurcation. In this article, we experimentally design a single delayed Hopf resonator to examine its dynamic responses and uncover striking parallels with the human ear. After a systematic characterization of this resonator, we experimentally verify on this single resonator two non-linear phenomena that mimic hearing distortions. This provides further support for hearing models based on Hopf bifurcation.
{"title":"A non-linear delayed resonator for mimicking the hearing haircells","authors":"Jana Reda, Mathias Fink, Fabrice Lemoult","doi":"10.1209/0295-5075/ad087b","DOIUrl":"https://doi.org/10.1209/0295-5075/ad087b","url":null,"abstract":"Abstract The auditory system possesses remarkable characteristics: super sensitivity and frequency selectivity. However, these traits come at the cost of non-fidelity due to non-linear effects.The culprit behind this active behavior is likely the haircells, as suggested by some in vivo observations and theoretical studies. These haircells appear to operate as non-linear oscillators near a Hopf bifurcation. In this article, we experimentally design a single delayed Hopf resonator to examine its dynamic responses and uncover striking parallels with the human ear. After a systematic characterization of this resonator, we experimentally verify on this single resonator two non-linear phenomena that mimic hearing distortions. This provides further support for hearing models based on Hopf bifurcation.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135870232","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-27DOI: 10.1209/0295-5075/ad07b2
Ma Chuang, Huan Wang, Hai-Feng Zhang
Abstract The inference of network structure from dynamic data is one of the most challenging scientific problems in network science. To address this issue, researchers have proposed various approaches regarding different types of dynamical data. Since many real evolution processes or social phenomena can be described by discrete state dynamical systems, such as the spreading of epidemic, the evolution of opinions, and the cooperation behaviors. Therefore, network reconstruction methods driven by discrete state dynamical data were also widely studied. In this Letter, we provide a mini-review of recent progresses for reconstructing networks based on discrete state dynamical data. These studies encompass network reconstruction problems where the dynamical processes are known, as well as those where the dynamics are unknown, and extend to the reconstruction of higher-order networks. Finally, we discuss the remaining challenges in this field.
{"title":"Reconstructing networks via discrete state dynamical data: A mini-review","authors":"Ma Chuang, Huan Wang, Hai-Feng Zhang","doi":"10.1209/0295-5075/ad07b2","DOIUrl":"https://doi.org/10.1209/0295-5075/ad07b2","url":null,"abstract":"Abstract The inference of network structure from dynamic data is one of the most challenging scientific problems in network science. To address this issue, researchers have proposed various approaches regarding different types of dynamical data. Since many real evolution processes or social phenomena can be described by discrete state dynamical systems, such as the spreading of epidemic, the evolution of opinions, and the cooperation behaviors. Therefore, network reconstruction methods driven by discrete state dynamical data were also widely studied. In this Letter, we provide a mini-review of recent progresses for reconstructing networks based on discrete state dynamical data. These studies encompass network reconstruction problems where the dynamical processes are known, as well as those where the dynamics are unknown, and extend to the reconstruction of higher-order networks. Finally, we discuss the remaining challenges in this field.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136316509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-25DOI: 10.1209/0295-5075/ad06ee
Francisco Eugenio Mendonca da Silveira
Abstract In this letter, we find the critical mass of a self-gravitating, spherically symmetric gas cloud, above which the fluid, within the bubble, collapses. Our analysis departs from a non-homogeneous equilibrium density, satisfying the Boltzmann relation. A time scale is defined in terms of the adiabatic index of the gas. Subsequently, a sinusoidal perturbation around equilibrium is regarded, thereby leading to a dispersion relation of frequency with wavelength, which does not depend on geometrical curvature effects. Such a formulation clearly justifies that the collapse occurs much faster than predicted by the well-known Jeans approach. The equilibrium profiles of the density, gravitational field, and potential are obtained as functions of the spherical radius coordinate at marginal instability. Since our theory captures the essential physics of gravitational collapse, it can be used as the starting point for several advancements in galactic dynamics.
{"title":"Adiabatic collapse of non-homogeneous self-gravitating gas cloud","authors":"Francisco Eugenio Mendonca da Silveira","doi":"10.1209/0295-5075/ad06ee","DOIUrl":"https://doi.org/10.1209/0295-5075/ad06ee","url":null,"abstract":"Abstract In this letter, we find the critical mass of a self-gravitating, spherically symmetric gas cloud, above which the fluid, within the bubble, collapses. Our analysis departs from a non-homogeneous equilibrium density, satisfying the Boltzmann relation. A time scale is defined in terms of the adiabatic index of the gas. Subsequently, a sinusoidal perturbation around equilibrium is regarded, thereby leading to a dispersion relation of frequency with wavelength, which does not depend on geometrical curvature effects. Such a formulation clearly justifies that the collapse occurs much faster than predicted by the well-known Jeans approach. The equilibrium profiles of the density, gravitational field, and potential are obtained as functions of the spherical radius coordinate at marginal instability. Since our theory captures the essential physics of gravitational collapse, it can be used as the starting point for several advancements in galactic dynamics.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135217439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-10-24DOI: 10.1209/0295-5075/ad0670
Joydeep Majhi, Subir Ghosh
Abstract In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair cite{jn} as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional {it{noncommutative}} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${sqrt{Delta x^2Delta y^2}}=hbarbar{Theta}_{xy}$, using the recently constructed anyon wave function cite{jan}, in the framework of cite{bel}. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical {it{formalism}} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.
{"title":"Uncertainty relations for the relativistic Jackiw-Nair nyon: A first principles derivation","authors":"Joydeep Majhi, Subir Ghosh","doi":"10.1209/0295-5075/ad0670","DOIUrl":"https://doi.org/10.1209/0295-5075/ad0670","url":null,"abstract":"Abstract In this paper we have explicitly computed the $position-position$ and $position-momentum$ (Heisenberg) Uncertainty Relations for the model of relativistic particles with arbitrary spin, proposed by Jackiw and Nair cite{jn} as a model for Anyon, in a purely quantum mechanical framework. This supports (via Schwarz inequality) the conjecture that anyons live in a 2-dimensional {it{noncommutative}} space. We have computed the non-trivial uncertainty relation between anyon coordinates, ${sqrt{Delta x^2Delta y^2}}=hbarbar{Theta}_{xy}$, using the recently constructed anyon wave function cite{jan}, in the framework of cite{bel}. We also compute the Heisenberg (position-momentum) uncertainty relation for anyons. Lastly we show that the identical {it{formalism}} when applied to electrons, yield a trivial position uncertainty relation, consistent with their living in a 3-dimensional commutative space.","PeriodicalId":11738,"journal":{"name":"EPL","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135266254","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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