International Journal of Theoretical Physics最新文献

Categories of Orthosets and Adjointable Maps 正交集和可伴映射的范畴

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-27 DOI: 10.1007/s10773-025-06031-4

Jan Paseka, Thomas Vetterlein

{"title":"Categories of Orthosets and Adjointable Maps","authors":"Jan Paseka, Thomas Vetterlein","doi":"10.1007/s10773-025-06031-4","DOIUrl":"10.1007/s10773-025-06031-4","url":null,"abstract":"<div><p>An orthoset is a non-empty set together with a symmetric and irreflexive binary relation <span>(perp )</span>, called the orthogonality relation. An orthoset with 0 is an orthoset augmented with an additional element 0, called falsity, which is orthogonal to every element. The collection of subspaces of a Hilbert space that are spanned by a single vector provides a motivating example. We say that a map <span>(f :X rightarrow Y)</span> between orthosets with 0 possesses the adjoint <span>(g :Y rightarrow X)</span> if, for any <span>(x in X)</span> and <span>(y in Y)</span>, <span>(f(x) perp y)</span> if and only if <span>(x perp g(y))</span>. We call <i>f</i> in this case adjointable. For instance, any bounded linear map between Hilbert spaces induces a map with this property. We discuss in this paper adjointability from several perspectives and we put a particular focus on maps preserving the orthogonality relation. We moreover investigate the category <span>(mathcal{O}mathcal{S})</span> of all orthosets with 0 and adjointable maps between them. We especially focus on the full subcategory <span>(mathcalligra {i}mathcal{O}mathcal{S})</span> of irredundant orthosets with 0. <span>(mathcalligra {i}mathcal{O}mathcal{S})</span> can be made into a dagger category, the dagger of a morphism being its unique adjoint. <span>(mathcalligra {i}mathcal{O}mathcal{S})</span> contains dagger subcategories of various sorts and provides in particular a framework for the investigation of Hilbert spaces.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-06031-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144140191","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Spectral Properties of the Zeon Combinatorial Laplacian: Cycles in Finite Graphs Zeon组合拉普拉斯算子的谱性质：有限图中的环

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-27 DOI: 10.1007/s10773-025-06032-3

G. Stacey Staples

引用次数: 0

Data-Driven Localized Wave Solutions and Parameters Discovery of the (1+1)-dimensional Ito Integro-Differential Equation （1+1）维Ito积分-微分方程的数据驱动局域波解和参数发现

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-26 DOI: 10.1007/s10773-025-06034-1

Yufan Zou, Chuanjian Wang, Mengyao Zhang, Changzhao Li, Hui Fang

{"title":"Data-Driven Localized Wave Solutions and Parameters Discovery of the (1+1)-dimensional Ito Integro-Differential Equation","authors":"Yufan Zou, Chuanjian Wang, Mengyao Zhang, Changzhao Li, Hui Fang","doi":"10.1007/s10773-025-06034-1","DOIUrl":"10.1007/s10773-025-06034-1","url":null,"abstract":"<div><p>In this paper, we investigate the data-driven localized wave solutions and parameters discovery of the (1+1)-dimensional Ito integro-differential equation by using the Potential-Function-Transformation PINNs (PFT-PINNs) method. Firstly, through the introduction of a potential function transformation, we convert the original integro-differential equation into the differential form and simultaneously also reduce the order of the differential equation, which provide convenience in solving the (1+1)-dimensional Ito integro-differential equation by using the PINNs method. Secondly, based on the neural networks, the data-driven localized wave solutions including soliton, breather, rogue wave, fusion and fission solutions are obtained with the aid of the potential function transformation. The results show that the PFT-PINNs method possesses the good performance of PFT-PINNs method in solving the forward problem of the (1+1)-dimensional Ito integro-differential equation and can acquire more accurate localized wave solutions than the standard PINNs method. Finally the PFT-PINNs method is used to solve the inverse problem of the (1+1)-dimensional Ito integro-differential equation and the results demonstrate that the unknown coefficient parameters can be satisfactorily identified even with heavily noisy data.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144135384","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

Topological Photon Spheres of Regular Non-Minimal Magnetic Black Holes 规则非极小磁性黑洞的拓扑光子球

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-23 DOI: 10.1007/s10773-025-06029-y

M. Umair Shahzad, Nazek Alessa, Aqsa Mehmood, Shahin Mamedov

{"title":"Topological Photon Spheres of Regular Non-Minimal Magnetic Black Holes","authors":"M. Umair Shahzad, Nazek Alessa, Aqsa Mehmood, Shahin Mamedov","doi":"10.1007/s10773-025-06029-y","DOIUrl":"10.1007/s10773-025-06029-y","url":null,"abstract":"<div><p>In this paper, we explore the null geodesics of a regular non-minimal magnetic black hole (BH), with a particular emphasis on visualizing photon spheres. This visualization aims to elucidate the dynamics of optically thin accretion around a BH and the resulting observable accretion image from a distant vantage point. Our primary investigation focuses on the fundamental concept that the existence of a photon sphere is an intrinsic feature of spherically symmetric BHs. By introducing the concept of a topological photon sphere, we categorize the behaviors observed in BHs based on the arrangement of their photon spheres. This novel approach not only aids in constraining BH parameters but also facilitates the distinction between a BH and a naked singularity. Moreover, we establish a clear connection between the properties of overall topological charge and effective potential of BH. We observe the scenarios where a stable photon sphere forms without an event horizon by utilizing the effective potential; it could potentially indicate the presence of a naked singularity. However, this would not involve the minima of effective potential lying outside an event horizon, as the event horizon itself would be absent.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117662","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

Frequency Shift of Photons in Reissner-Nordström Black Hole Immersed in Perfect Fluid Dark Matter 沉浸在完美流体暗物质中的Reissner-Nordström黑洞中光子的频移

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-23 DOI: 10.1007/s10773-025-06028-z

Houssam Eddine Trad, Lamine Khodja

引用次数: 0

Newtonian Gravity of Antimatter and Gravitational Needs of Field Quantization: A Path to Renormalizable Gravity 牛顿的反物质引力与场量子化的引力需要：一条重归一化引力之路

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-23 DOI: 10.1007/s10773-025-06001-w

Piero Chiarelli

{"title":"Newtonian Gravity of Antimatter and Gravitational Needs of Field Quantization: A Path to Renormalizable Gravity","authors":"Piero Chiarelli","doi":"10.1007/s10773-025-06001-w","DOIUrl":"10.1007/s10773-025-06001-w","url":null,"abstract":"<div><p>By incorporating quantum mechanics into gravitational theory through the so-called spacetime geometrization procedure that consists in applying the principle of least action alongside the covariance of quantum mechanical motion equations, we present a model that describes the gravitational behavior of antimatter whose existence is fundamentally rooted in quantum mechanics. The gravity produced by an antimatter macroscopic body, described by continuous quantum mechanical field, shows that it produces attractive Newtonian potential on macroscopic scale. On a microscopic scale, where we cannot use the point-like mass approximation, the work shows that the Newtonian gravity includes an additional term that is inversely proportional to source mass and depending by the shape of the quantum mass density distributions.<span>(|psi |)</span>. The divergence of gravitational energy for infinitesimal masses, in order to yield finite physical solutions, requires that elementary particles possess a discrete mass spectrum and that the quantization of their fields emerges as a necessary condition for the realization of the physical universe. Furthermore, the quantum mechanical contribution, induced by the energy of the quantum potential on spacetime geometry, which diverges for small masses, can possibly compensate for the divergence in quantum gravity where this contribution is not considered.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-025-06001-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Entanglement Improvement of Three-mode Squeezed Vacuum State Via Number-conserving Operation 通过保数运算改善三模压缩真空态的纠缠态

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-23 DOI: 10.1007/s10773-025-06025-2

Shiyu Dai, Qingqian Kang, Liyun Hu, Cunjin Liu, Teng Zhao

{"title":"Entanglement Improvement of Three-mode Squeezed Vacuum State Via Number-conserving Operation","authors":"Shiyu Dai, Qingqian Kang, Liyun Hu, Cunjin Liu, Teng Zhao","doi":"10.1007/s10773-025-06025-2","DOIUrl":"10.1007/s10773-025-06025-2","url":null,"abstract":"<div><p>In this paper, the quantum entanglement properties of a three-mode squeezed vacuum state under an ideal and realistic scenario are discussed. We find that photon loss has a significant negative effect on quantum entanglement, leading to the degradation of entangled states and the loss of fidelity. In order to overcome this challenge, we further study the effect of number-conserving operation on the entangled properties of three-mode squeezed vacuum states. In general, when the squeezing amplitude is small, the multi-mode and high-order number-conserving operation has the optimal effect on the improvement of entanglement. With the increase of squeezing amplitude, we need to reduce the number of operated modes and the order of number-conserving operation to obtain the optimal improvement effect. When the squeezing amplitude is large enough, the number-conserving operation no longer has the improvement effect. The results in this paper are helpful to further understand the multi-mode squeezed vacuum state and provide an estimable theoretical basis for its application in quantum information processing.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144117665","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

Magnetic Impurity Density Dependence of the Neel Temperature and Spontaneous Magnetization in a Two-Dimensional Antiferromagnet 二维反铁磁体中磁性杂质密度对Neel温度和自发磁化的依赖性

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-21 DOI: 10.1007/s10773-025-05972-0

Kim Jyongyon, Song Jon, Cholmyong Yo

{"title":"Magnetic Impurity Density Dependence of the Neel Temperature and Spontaneous Magnetization in a Two-Dimensional Antiferromagnet","authors":"Kim Jyongyon, Song Jon, Cholmyong Yo","doi":"10.1007/s10773-025-05972-0","DOIUrl":"10.1007/s10773-025-05972-0","url":null,"abstract":"<div><p>In this paper, the model is proposed to theoretically explain the phenomenon of the rapid decrease of antiferromagnetic order of the Mott insulator with the increase of the density of the magnetic impurities injected by the external magnetic impurities in the antiferromagnetic Mott insulator. In addition, the RKKY-method was applied to this model to develop the Hamiltonian that can explain the microscopic nature of macroscopic phenomena occurring in real materials. In other words, for Cu local spins of the Cu-O<sub>2</sub> 2-dimensional plane, which form an antiferromagnetic order before injecting an external magnetic impurity into the system, we applied the anisotropic Heisenberg model, taking into account the magnetic anisotropic effect in the molecular field approximation. Next, the interaction between the injected magnetic impurities and the copper local spins with the jump term describing the motion of the magnetic impurities injected into the system (Cu-O<sub>2</sub> 2D plane) was applied to the Kondo interaction model to construct the total Hamiltonian of the system with the magnetic impurities injected. In addition, the RKKY method was applied to this model to derive an effective Hamiltonian that is mathematically convenient and intuitively reflected the phenomenon of the antiferromagnetic order reduction with increasing magnetic impurity density. And based on this effective Hamiltonian, we have considered the dependence of the impurity density of the spontaneous magnetization and the Neel temperature of a two-dimensional antiferromagnet.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144108452","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

Comments on “Quantum Adder for Superposition States” 对“叠加态量子加法器”的评述

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-21 DOI: 10.1007/s10773-025-06014-5

Mohammed Zidan, Ahmed M. Eisa, Montasir Qasymeh, Hichem Eleuch

{"title":"Comments on “Quantum Adder for Superposition States”","authors":"Mohammed Zidan, Ahmed M. Eisa, Montasir Qasymeh, Hichem Eleuch","doi":"10.1007/s10773-025-06014-5","DOIUrl":"10.1007/s10773-025-06014-5","url":null,"abstract":"<div><p>In Ref. (Int. J. Theor. Phys. <b>57</b>, 2575–2584, 2018), Lu et al. developed a quantum adder algorithm that executes a quantum circuit to perform the addition operation on numbers provided through a given uniform superposition state. However, by applying the detailed steps and the elementary gates of the quantum circuit of their claimed algorithm to the identical case that was discussed in the same reference, significant mistakes are revealed. These errors, in turn, prove that the algorithm and its quantum circuit are unable to solve the problem statement as assumed in this reference. Furthermore, the quantum adder algorithm introduced by Lu et al. has been employed in various quantum algorithms (Jiang et al., Int. J. Theor. Phys. <b>58</b>, 979–991, 2019; Jiang et al., Int. J. Theor. Phys. <b>59</b>, 3533–3548 2020; Dai et al., Quantum Inf. Process. <b>20</b>, 1–24, 2021; Li et al., Int. J. Theor. Phys. <b>60</b>, 2037–2048 2021; Wang et al., Entropy <b>25</b>, 1629 2023; Wang et al., Multimed. Tools Appl. <b>83</b>, 79715–79739 2024; Tan et al., Int. J. Theor. Phys. <b>60</b>, 1090–1102 2021). This could indicate widespread error propagation, which should be emphasized to prevent the development of more inaccurate quantum algorithms.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144100321","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

Quasiperiodic Trajectories Drawn by the Bloch Vector of the Thermal Multiphoton Jaynes-Cummings Model 热多光子Jaynes-Cummings模型的Bloch向量绘制的准周期轨迹

IF 1.3 4区物理与天体物理

International Journal of Theoretical Physics Pub Date : 2025-05-20 DOI: 10.1007/s10773-025-06017-2

Hiroo Azuma

{"title":"Quasiperiodic Trajectories Drawn by the Bloch Vector of the Thermal Multiphoton Jaynes-Cummings Model","authors":"Hiroo Azuma","doi":"10.1007/s10773-025-06017-2","DOIUrl":"10.1007/s10773-025-06017-2","url":null,"abstract":"<div><p>We study the time evolution of the Bloch vector of the thermal multiphoton Jaynes-Cummings model (JCM). If the multiphoton JCM incorporates thermal fluctuations, its corresponding Bloch vector evolves unpredictably, traces a disordered trajectory, and exhibits quasiperiodicity. However, if we plot the trajectory as a discrete-time sequence with a constant time interval, it reveals unexpected regularities. First, we show that this plot is invariant under a scale transformation of a finite but non-zero time interval. Second, we numerically evaluate the times at which the absolute value of the <i>z</i>-component of the Bloch vector is nearly equal to zero. At those times, the density matrix of the two-level system approximates a classical ensemble of the ground and excited states. We demonstrate that some time values can be derived from the denominators of the fractions of certain approximations for irrational numbers. The reason underlying these findings is that the components of the Bloch vector for the thermal multiphoton JCM are described with a finite number of trigonometric functions whose dimensionless angular frequencies are irrational numbers in the low-temperature limit.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 6","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144090978","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