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New spin and p-spin symmetries of the deformed Dirac equation for the IMRQHPs including the improved YLT interaction in three-dimensional extended relativistic quantum mechanics symmetries IMRQHPs变形狄拉克方程的新自旋和p-自旋对称性,包括三维扩展相对论量子力学对称性中改进的YLT相互作用
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-12-09 DOI: 10.1142/s0217732323501626
A. Maireche
In this paper, the modified Dirac equation (MDE) has been solved approximately for improved Manning–Rosen plus quasi-Hellman potentials (IMRQHPs), including the improved Yukawa tensor interaction under new spin symmetry and pseudospin symmetry for arbitrary spin–orbit number [Formula: see text], an appropriate approximation employed on the centrifugal terms in the symmetries of three-dimensional extended relativistic quantum mechanics (3D-ERQM). This potential is a superposition of Manning–Rosen plus quasi-Hellman potentials and some other exponential terms. Through the application of both new approximations to deal with the centrifugal term, Bopp’s shift method and the independent-time perturbation theory method, the recent modified approximate energy corrections under IMRQHPs are obtained for nuclei [Formula: see text]O and [Formula: see text]F and (O2, I2, N2, H2, LiH, CO and NO) diatomic molecules in 3D-ERQM and three-dimensional extended non-relativistic quantum mechanics (3D-ENRQM) symmetries. The recent values that we get appear sensitive to [Formula: see text], which are known as the discrete atomic quantum numbers, the mixed potential depths ([Formula: see text], [Formula: see text]) and [Formula: see text], the range of the potential [Formula: see text] and non-commutativity parameters [Formula: see text]. In both 3D-ERQM and 3D-ENRQM symmetries, we show that the recent corrections obtained on the new bound states under IMRQHPs are infinitesimal to the principal part of energy in the ordinary cases of 3D-RQM and 3D-NRQM symmetries. In the new symmetries of 3D-ERQM symmetries, it is not possible to get the exact analytical solutions [Formula: see text] and [Formula: see text], only the approximate solutions are possible. In addition, we discussed in detail the non-relativistic study of the studied mixed potentials. Four special cases, i.e. we investigated some special cases in the context of modified Schrödinger theories. In the framework of known relativistic quantum mechanics, we have clearly demonstrated that the modified Schrödinger equation can be represented as the Dirac equation under the influence of IMRQHPs.
本文近似求解了改进的曼宁-罗森加准赫尔曼势(IMRQHPs)的修正狄拉克方程(MDE),包括在新的自旋对称和任意自旋轨道数的伪自旋对称下改进的尤卡娃张量相互作用[公式:见正文],这是对三维扩展相对论量子力学(3D-ERQM)对称中的离心项采用的一种适当近似。这种势是曼宁-罗森势、准赫尔曼势和其他一些指数项的叠加。通过应用处理离心项的新近似方法、博普移位法和独立时间扰动理论方法,我们得到了三维-ERQM 和三维扩展非相对论量子力学(3D-ENRQM)对称中原子核[式:见正文]O 和[式:见正文]F 以及(O2、I2、N2、H2、LiH、CO 和 NO)二原子分子在 IMRQHPs 下的最新修正近似能量修正值。我们最近得到的数值似乎对[式:见正文](即离散原子量子数)、混合势深度([式:见正文]、[式:见正文])和[式:见正文]、势范围[式:见正文]以及非交换性参数[式:见正文]很敏感。在三维-ERQM 和三维-ENRQM 对称中,我们证明了在三维-RQM 和三维-NRQM 对称的普通情况下,IMRQHPs 对新束缚态的最新修正对能量的主部是无穷小的。在 3D-ERQM 对称的新对称中,不可能得到精确的解析解[公式:见正文]和[公式:见正文],只能得到近似解。此外,我们还详细讨论了所研究的混合势的非相对论研究。四种特例,即我们研究了修正薛定谔理论背景下的一些特例。在已知相对论量子力学的框架下,我们清楚地证明了在 IMRQHPs 的影响下,修正薛定谔方程可以表示为狄拉克方程。
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引用次数: 0
Scaled affine quantization of φ312 is nontrivial φ312的按比例仿射量化是非简单的
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-12-09 DOI: 10.1142/s0217732323501675
Riccardo Fantoni
We prove through path integral Monte Carlo that the covariant Euclidean scalar field theory, [Formula: see text], where [Formula: see text] denotes the power of the interaction term and [Formula: see text] with [Formula: see text] as the spatial dimension and 1 adds imaginary time, such that [Formula: see text], [Formula: see text] can be acceptably quantized using scaled affine quantization (AQ) and the resulting theory is nontrivial, unlike what happens using canonical quantization which finds it trivial.
我们通过路径积分蒙特卡洛证明,协变欧几里得标量场理论[式:见正文],其中[式:见正文]表示相互作用项的幂次,[式:见正文]以[式:见正文]为空间维度,1添加虚时间,这样[式:见正文]、[式:见正文]可以用标度仿射量化(AQ)进行可接受的量化,所得到的理论是非琐碎的,这与使用典型量化发现它是琐碎的不同。
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引用次数: 1
Oscillating quintom scenario with time-dependent periodic deceleration parameter 具有随时间变化的周期性减速参数的振荡五子棋方案
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-12-09 DOI: 10.1142/s0217732323501717
M. Ilyas, A. R. Athar
In this paper, we introduced the deceleration parameter [Formula: see text] in a different manner by proposing a modern law. According to this law, we suggested a time-periodic [Formula: see text]. Furthermore, we used this law to develop a model in which the universe oscillates with quintom matter in a four-dimensional FLRW metric background. Using this model, we obtained the oscillating Hubble parameter [Formula: see text], which remains positive. Consequently, the universe undergoes decelerating expansion and accelerating expansion periodically, avoiding singularities.
在本文中,我们以不同的方式引入了减速参数[公式:见正文],提出了一个现代定律。根据这一定律,我们提出了一个时间周期[公式:见正文]。此外,我们还利用这一定律建立了一个模型,在这个模型中,宇宙在四维 FLRW 度量背景下与五子物质一起振荡。利用这个模型,我们得到了振荡哈勃参数[公式:见正文],该参数保持为正值。因此,宇宙周期性地经历减速膨胀和加速膨胀,避免了奇点的出现。
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引用次数: 0
Euclidean Wormhole with k-essence field in the presence of Gauss–Bonnet term 存在高斯-波奈特项的 k-ence场欧氏虫洞
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-29 DOI: 10.1142/s021773232350150x
M. K. Dutta, G. Biswas, B. Modak
In this paper, we present some analytical solutions of wormhole in four-dimensional Robertson–Walker Euclidean background considering Einstein–Gauss–Bonnet dilaton interaction with a [Formula: see text]-essence field for [Formula: see text]. The solutions are obtained assuming some restrictions on coupling function with a form of potential or with the ratio of kinetic to potential energy of the dilaton field. Euclidean wormhole, in one case, evolves through early transient inflationary era and after graceful exit from inflation, it asymptotically yields a radiation dominated era or a matter dominated era. In another solution, initial Euclidean wormhole is accompanied by oscillation of scale factor in Euclidean time at some late era which asymptotically yields exponential expansion. The violation of the null energy condition can be avoided asymptotically. The potential is also found to decay sharply.
本文提出了四维罗伯逊-沃克欧几里得背景下虫洞的一些解析解,考虑了爱因斯坦-高斯-波奈稀释力场与[公式:见正文]的[公式:见正文]无性场的相互作用。假设对耦合函数与某种形式的势能或稀释力场的动能与势能之比有一些限制,就能得到解。在一种情况下,欧几里得虫洞在早期瞬态暴胀时代演化,在优美地退出暴胀之后,渐近地产生一个辐射主导时代或物质主导时代。在另一种方案中,初始欧几里得虫洞伴随着欧几里得时间的尺度因子在某个晚期时代的振荡,渐近地产生指数膨胀。可以渐近地避免违反空能量条件。我们还发现电势会急剧衰减。
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引用次数: 0
Erratum: Particle motion around Schwarzschild-MOG black hole 勘误: Schwarzschild-MOG 黑洞周围的粒子运动
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-27 DOI: 10.1142/s0217732323920025
M. Boboqambarova, B. Turimov, A. Abdujabbarov
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引用次数: 0
On soliton solutions, periodic wave solutions, asymptotic analysis and interaction phenomena of the (3+1)-dimensional JM equation 论 (3+1)-dimensional JM方程的孤子解、周期波解、渐近分析和相互作用现象
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-25 DOI: 10.1142/s0217732323501183
Yuanyuan Liu, J. Manafian, K. Mahmoud, Baharak Eslami
In this paper, the M-lump solutions, the periodic type, and cross-kink wave solutions are acquired. Here, the Hirota bilinear operator is employed. By utilizing the symbolic computation and employing the utilized method, the (3+1)-dimensional Jimbo–Miwa (JM) equation is investigated. Based on the Hirota bilinear form, the soliton solution and periodic wave solution to the mentioned equation, respectively, are obtained. We gained plenty of multiple collisions of lumps. Next, the periodic wave and cross-kink wave have greatly enriched the existing literature on the JM equation. Through the three-dimensional designs, contour design, density design, and two-dimensional design by using Maple, the physical features of these soliton solutions are explained all right. The forms of the attained solutions are one-lump, two-lumps, and three-lumps wave solutions. Then, a class of rogue waves-type solutions to the (3+1)-dimensional JM equation within the frame of the bilinear equation is found. These results can help us better understand interesting physical phenomena and mechanisms.
本文获得了 M-lump 解法、周期型解法和交叉扭结波解法。这里使用了 Hirota 双线性算子。通过利用符号计算和所使用的方法,研究了 (3+1)-dimensional Jimbo-Miwa (JM) 方程。基于 Hirota 双线性形式,分别得到了上述方程的孤子解和周期波解。我们获得了大量块体的多重碰撞。接下来,周期波和交叉扭结波极大地丰富了有关 JM 方程的现有文献。通过使用 Maple 进行三维设计、轮廓设计、密度设计和二维设计,这些孤子解的物理特征得到了很好的解释。所得到的解的形式有一凸块波、二凸块波和三凸块波。然后,在双线性方程的框架内找到了 (3+1)-dimensional JM 方程的一类流氓波型解。这些结果有助于我们更好地理解有趣的物理现象和机制。
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引用次数: 0
Analytical solutions to the isentropic Euler system with the logarithmic equation of state 具有对数状态方程的等熵欧拉系统的解析解
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-23 DOI: 10.1142/s0217732323501559
Guangpu Lou, Jianwei Dong
In this paper, we study the analytical solutions to the isentropic Euler system with the logarithmic equation of state, which has been introduced for the dark energy fluid to investigate the dynamical evolution of a late-time universe. By using some ansatz, we construct some analytical solutions for one-dimensional case, [Formula: see text]-dimensional radially symmetric case and three-dimensional cylindrically symmetric case, respectively. The concentration and cavitation phenomena are investigated and some global analytical solutions are obtained under some conditions.
本文研究了具有对数状态方程的等熵欧拉系统的解析解,该系统被引入暗能量流体以研究晚期宇宙的动力学演化。通过使用一些等式,我们分别构建了一维情况、[公式:见正文]径向对称情况和三维圆柱对称情况下的一些解析解。在某些条件下,研究了集中和空化现象,并得到了一些全局解析解。
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引用次数: 0
New method for merging several exponential operators’ product into one exponential operator 将多个指数算子的乘积合并为一个指数算子的新方法
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-22 DOI: 10.1142/s0217732323501584
Chun-Zao Zhang, Hong-Yi Fan
For two operators [Formula: see text] and [Formula: see text] which obey [Formula: see text]we shall prove [Formula: see text]which means we want to merge two exponential operators’ product into one exponential operator. This kind of operator identity is useful for calculating the quantum entropy [Formula: see text] since [Formula: see text] when [Formula: see text] but [Formula: see text] thus the merging operator formula is demanded. In this way, several exponential operators’ product can also be merged. We shall employ the method of integration within normally ordered product (IWOP) to derive the merging operator identity.
对于服从[公式:见正文]的两个算子[公式:见正文]和[公式:见正文],我们将证明[公式:见正文],这意味着我们要把两个指数算子的乘积合并成一个指数算子。这种算子同一性对于计算量子熵[式:见正文]很有用,因为当[式:见正文]为[式:见正文]时,[式:见正文]却是[式:见正文],因此需要合并算子公式。这样,几个指数算子的乘积也可以合并。我们将采用常有序积内积分(IWOP)的方法来推导合并算子的特性。
{"title":"New method for merging several exponential operators’ product into one exponential operator","authors":"Chun-Zao Zhang, Hong-Yi Fan","doi":"10.1142/s0217732323501584","DOIUrl":"https://doi.org/10.1142/s0217732323501584","url":null,"abstract":"For two operators [Formula: see text] and [Formula: see text] which obey [Formula: see text]we shall prove [Formula: see text]which means we want to merge two exponential operators’ product into one exponential operator. This kind of operator identity is useful for calculating the quantum entropy [Formula: see text] since [Formula: see text] when [Formula: see text] but [Formula: see text] thus the merging operator formula is demanded. In this way, several exponential operators’ product can also be merged. We shall employ the method of integration within normally ordered product (IWOP) to derive the merging operator identity.","PeriodicalId":18752,"journal":{"name":"Modern Physics Letters A","volume":"629 ","pages":""},"PeriodicalIF":1.4,"publicationDate":"2023-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139248420","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}
引用次数: 0
Thermodynamics of charged accelerating AdS black hole 带电加速 AdS 黑洞的热力学
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-22 DOI: 10.1142/s0217732323501535
Himanshu Kumar Sudhanshu, S. Upadhyay, D. Singh, Y. Myrzakulov, K. Myrzakulov
In this paper, we provide a thermodynamical study of charged accelerating AdS black holes in the [Formula: see text]-metric. In this connection, we first determine the mass of the given black hole and study their dependence on horizon radius and acceleration. Furthermore, following black hole mechanics, we also derive various quantities like Hawking temperature, entropy, pressure, volume, internal energy, Gibbs energy and Helmholtz energy. With the help of a graph, we study the effect of acceleration on these thermal quantities. Here, we observe that the impact of acceleration becomes more significant on the large horizons. To discuss stability and phase transition, we calculate specific heat. The graphical analysis suggests multiple phase transitions occur for the charged accelerating black hole in AdS spacetime. The system changes state at the critical point, where phase transition occurs. For the small black holes, the critical point at which the phase transition occurs is independent of the acceleration parameter. However, the critical horizon radius for large black holes depends on the acceleration parameter. For fast-accelerating black holes, a phase transition occurs at a small horizon radius to that of slowly accelerating black holes.
在本文中,我们用[公式:见正文]度量法对带电加速 AdS 黑洞进行了热力学研究。为此,我们首先确定了给定黑洞的质量,并研究了它们与视界半径和加速度的关系。此外,根据黑洞力学,我们还得出了霍金温度、熵、压力、体积、内能、吉布斯能和赫尔姆霍兹能等各种量。借助图表,我们研究了加速度对这些热量的影响。在这里,我们观察到加速度对大视界的影响变得更加显著。为了讨论稳定性和相变,我们计算了比热。图形分析表明,AdS 时空中的带电加速黑洞会发生多重相变。系统在临界点发生状态变化,相变发生在临界点。对于小黑洞,发生相变的临界点与加速度参数无关。然而,大黑洞的临界视界半径取决于加速度参数。对于快速加速的黑洞,相变发生在较小的视界半径处,而对于缓慢加速的黑洞,相变发生在较小的视界半径处。
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引用次数: 0
Energy deposition rate for neutrino pair annihilation in the presence of quintessence near neutron star 中子星附近五子星存在时中微子对湮灭的能量沉积率
IF 1.4 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS Pub Date : 2023-11-22 DOI: 10.1142/s0217732323501560
Coskun Aydin
By using the minimal extension of the standard model and considering the general relativistic effects near the surface of a static neutron star in the presence of quintessence fields, we drive analytical expressions for the cross-section and energy deposition rate of the process ([Formula: see text]). We have also obtained the ratio of energy deposition to total Newtonian energy deposition ([Formula: see text]). We have displayed that the contributions of the electron neutrino’s charge radius are more effective than the dipole moment in this process. The obtained solutions indicate that the contribution of the electron neutrino charge radius changes the results approximately (1–5)% depending on the [Formula: see text] value of the star.
通过使用标准模型的最小扩展,并考虑静态中子星表面附近存在五子场时的广义相对论效应,我们得到了这一过程的截面和能量沉积率的解析表达式([公式:见正文])。我们还得到了能量沉积与牛顿总能量沉积的比率([公式:见正文])。我们发现,在这一过程中,电子中微子电荷半径的贡献比偶极矩更有效。求解结果表明,电子中微子电荷半径的贡献会使结果发生大约(1-5)%的变化,这取决于恒星的[计算公式:见正文]值。
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引用次数: 0
期刊
Modern Physics Letters A
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