Pub Date : 2023-10-16DOI: 10.1142/s0219887824500531
Ruben Ortiz-Ortiz, Mario Almanza-Caro, Alejandra Guzman-Perez, Magnolia Marin-Ramirez
In this paper, we study the [Formula: see text]-body problem in the Poincaré upper half-plane [Formula: see text], where the radius [Formula: see text] of the Poincaré disk is fixed. We introduce a new potential to derive the condition for hyperbolic relative equilibria on [Formula: see text]. We analyze the relative equilibrium of positive masses moving along geodesics under the [Formula: see text] group. This result is utilized to establish the existence of relative equilibria for the [Formula: see text]-body problem on [Formula: see text] for [Formula: see text] and [Formula: see text]. We revisit previously known results and uncover new qualitative findings on relative equilibria that are not evident in an extrinsic context. Additionally, we provide a simple expression for the center of mass of a system of point particles on a two-dimensional surface with negative constant Gaussian curvature.
{"title":"Asymptotic Relative Equilibrium in the <i>n</i>-Body Problem: Relativistic Application in the Poincare Upper Half-Plane","authors":"Ruben Ortiz-Ortiz, Mario Almanza-Caro, Alejandra Guzman-Perez, Magnolia Marin-Ramirez","doi":"10.1142/s0219887824500531","DOIUrl":"https://doi.org/10.1142/s0219887824500531","url":null,"abstract":"In this paper, we study the [Formula: see text]-body problem in the Poincaré upper half-plane [Formula: see text], where the radius [Formula: see text] of the Poincaré disk is fixed. We introduce a new potential to derive the condition for hyperbolic relative equilibria on [Formula: see text]. We analyze the relative equilibrium of positive masses moving along geodesics under the [Formula: see text] group. This result is utilized to establish the existence of relative equilibria for the [Formula: see text]-body problem on [Formula: see text] for [Formula: see text] and [Formula: see text]. We revisit previously known results and uncover new qualitative findings on relative equilibria that are not evident in an extrinsic context. Additionally, we provide a simple expression for the center of mass of a system of point particles on a two-dimensional surface with negative constant Gaussian curvature.","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136077406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-12DOI: 10.1142/s0219887824500695
R. K. Tiwari, Bhupendra Kumar Shukla, A. Beesham, Sudha Agrawal
{"title":"Universe in <i>f</i>(<i>R, G</i>) gravity with special form of <i>q</i>","authors":"R. K. Tiwari, Bhupendra Kumar Shukla, A. Beesham, Sudha Agrawal","doi":"10.1142/s0219887824500695","DOIUrl":"https://doi.org/10.1142/s0219887824500695","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136014544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-12DOI: 10.1142/s0219887824500658
Fatma Guler
{"title":"Berry phase models and the electromagnetic trajectories of an optical fiber with a geodesic Frenet frame","authors":"Fatma Guler","doi":"10.1142/s0219887824500658","DOIUrl":"https://doi.org/10.1142/s0219887824500658","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013893","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-12DOI: 10.1142/s0219887824400048
F. M. Ciaglia, F. Di Cosmo, F. Di Nocera, P. Vitale
We review some geometrical aspects pertaining to the world of monotone quantum metrics in finite dimensions. Particular emphasis is given to an unfolded perspective for quantum states that is built out of the spectral theorem and is naturally suited to investigate the comparison with the classical case of probability distributions.
{"title":"Monotone metric tensors in Quantum Information Geometry","authors":"F. M. Ciaglia, F. Di Cosmo, F. Di Nocera, P. Vitale","doi":"10.1142/s0219887824400048","DOIUrl":"https://doi.org/10.1142/s0219887824400048","url":null,"abstract":"We review some geometrical aspects pertaining to the world of monotone quantum metrics in finite dimensions. Particular emphasis is given to an unfolded perspective for quantum states that is built out of the spectral theorem and is naturally suited to investigate the comparison with the classical case of probability distributions.","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136014550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-12DOI: 10.1142/s021988782440005x
Jose F. Carinena, Partha Guha
{"title":"Geometry of Non-standard Hamiltonian Structures of Lienard Equations and Contact Structure","authors":"Jose F. Carinena, Partha Guha","doi":"10.1142/s021988782440005x","DOIUrl":"https://doi.org/10.1142/s021988782440005x","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"167 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-12DOI: 10.1142/s0219887824500725
Dinesh Chandra Maurya
{"title":"Bianchi-I dark energy cosmological model in <i>f</i>(<i>R,L<sub>m</sub></i>)-Gravity","authors":"Dinesh Chandra Maurya","doi":"10.1142/s0219887824500725","DOIUrl":"https://doi.org/10.1142/s0219887824500725","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013891","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-12DOI: 10.1142/s0219887824500701
Shamaila Rani, Iftikhar Ahmed, Umair Anwar, Nadeem Azhar, Abdul Jawad
{"title":"Energy Conditions in <i>f</i>(<i>R,A</i>) Gravity","authors":"Shamaila Rani, Iftikhar Ahmed, Umair Anwar, Nadeem Azhar, Abdul Jawad","doi":"10.1142/s0219887824500701","DOIUrl":"https://doi.org/10.1142/s0219887824500701","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136014548","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
{"title":"Bright solitons, dark solitons, and periodic wave solutions of Chen-Lee-Liu model","authors":"Saima Arshed, Maasoomah Sadaf, Ghazala Akram, Kainat Farooq","doi":"10.1142/s0219887824500737","DOIUrl":"https://doi.org/10.1142/s0219887824500737","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136013752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2023-10-06DOI: 10.1142/s0219887824500622
Young Jin Suh, Krishnendu De, Uday Chand De
{"title":"Impact of projective curvature tensor in <i>f</i>(<i>R,G</i>), <i>f</i>(<i>R,T</i>) and <i>f</i>(<i>R,L<sub>m</sub></i>)-Gravity","authors":"Young Jin Suh, Krishnendu De, Uday Chand De","doi":"10.1142/s0219887824500622","DOIUrl":"https://doi.org/10.1142/s0219887824500622","url":null,"abstract":"","PeriodicalId":50320,"journal":{"name":"International Journal of Geometric Methods in Modern Physics","volume":"100 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135303752","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：