Reports on Mathematical Physics最新文献_第9页

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IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00044-7

引用次数: 0

The construction of Gel'fand triplet space structure for Infinite Potential Well System 无限大势井系统的凝胶型和三重态空间结构的构建

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00036-8

Onur Genç, Haydar Uncu

引用次数: 0

Quantum-like correlation of two-qubit open system in the Markovian regime 马尔可夫状态下双量子位开放系统的类量子相关

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00038-1

S. Bukbech , K. El Anouz , Z. El Allali , A. El Allati

{"title":"Quantum-like correlation of two-qubit open system in the Markovian regime","authors":"S. Bukbech , K. El Anouz , Z. El Allali , A. El Allati","doi":"10.1016/S0034-4877(23)00038-1","DOIUrl":"10.1016/S0034-4877(23)00038-1","url":null,"abstract":"<div>A rigorous relationship between local quantum uncertainty and local quantum Fisher information as recent quantifiers of nonclassical correlations is investigated. It consists of analysing the quantum correlation rate ingrained in a bipartite quantum system interacting with its surrounding environment under the Markovian regime. Indeed, we quantify the separability between two qubits where each qubit interacts with its own environment. Furthermore, a common reservoir is also taken into consideration, which allows us to solve exactly the Markovian master equation of this system. Pointing out that the degrees of freedom that belong to the environment, act only implicitly. We study the local quantum uncertainty and local quantum Fisher information quantifiers of the open system. By controlling several parameters encoded in the reduced density operator of the open system, it is shown that the nonclassical measures fluctuate similarly between their maximum and minimum amplitudes. In particular, the high values of the damping rates related to each reservoir and some special values of the initial phase parameter allow for robust values of local quantum uncertainty and local quantum Fisher information. In particular, it is shown that in the non-resonance case, it is possible to enhance the quantum correlation of the proposed system.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 315-344"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43208690","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

Calculation of the electromagnetic self-force of a non-lorentz-contractible uniformly charged spherical shell in arbitrary rectilinear motion 非洛伦兹可收缩均匀带电球壳在任意直线运动中的电磁力计算

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00042-3

G. Vaman

引用次数: 0

Galois symmetry of energy levels of the XXX model for the case of octagonal two-magnon states on the generic star of quasimomentum 准动量星上八角形双磁振子态XXX模型能级的伽罗瓦对称

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00039-3

T. Lulek, M. Łabuz, J. Milewski, R. Stagraczyński

{"title":"Galois symmetry of energy levels of the XXX model for the case of octagonal two-magnon states on the generic star of quasimomentum","authors":"T. Lulek, M. Łabuz, J. Milewski, R. Stagraczyński","doi":"10.1016/S0034-4877(23)00039-3","DOIUrl":"10.1016/S0034-4877(23)00039-3","url":null,"abstract":"<div>We consider the factor υ of the characteristic polynomial wH (x) of the Heisenberg Hamiltonian Ĥ of the XXX model, corresponding to the generic star [k = ±1, ±3] of quasimomentum k for octagonal (N = 8) magnetic ring in the two-magnon sector. This factor is recognized as the fourth-degree polynomial with integer coefficients, indecomposable over the prime number field ℚ of rationals. We demonstrate the physical meaning of the corresponding Galois group as the group of permutations of eigenenergies between the quasimomenta entering the generic star of the Brillouin zone of octagon. In particular, we point out the role of intersection of this group with Galois group of the cyclotomic field, responsible for the translational symmetry of octagon. Bound and scattered two-magnon eigenstates are identified by their spectra. Some general remarks are made on Galois symmetries within the XXX integrable model.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 345-357"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41469074","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

Investigation on gradient solitons in perfect fluid spacetimes 理想流体时空中梯度孤子的研究

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00035-6

Krishnendu De, Uday Chand De

{"title":"Investigation on gradient solitons in perfect fluid spacetimes","authors":"Krishnendu De, Uday Chand De","doi":"10.1016/S0034-4877(23)00035-6","DOIUrl":"10.1016/S0034-4877(23)00035-6","url":null,"abstract":"<div>This article concerns the study of perfect fluid spacetimes equipped with different types of gradient solitons. It is shown that if a perfect fluid spacetime with Killing velocity vector admits a τ-Einstein soliton of gradient type, then the spacetime represents phantom regime, or ψ remains invariant under the velocity vector field ρ. Besides, we establish that in a perfect fluid spacetime with constant scalar curvature, if the Lorentzian metric is the gradient τ-Einstein soliton, then either the τ-Einstein gradient potential function is pointwise collinear with ρ, or the spacetime represents stiff matter fluid. Furthermore, we prove that under certain conditions, a perfect fluid spacetime turns into a generalized Robertson–Walker spacetime, as well as a static spacetime and such a spacetime is of Petrov type I, D or O. We also characterize perfect fluid spacetimes whose Lorentzian metric is equipped with gradient m-quasi Einstein solitons and that the perfect fluid spacetime has vanishing expansion scalar, or it represents dark energy era under certain restriction on the potential function.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 277-289"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46430467","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

Time of arrival operator in the momentum space 动量空间中的到达时间算子

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00037-X

A.M. Schlichtinger, A. Jadczyk

引用次数: 0

Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree Cayley树上具有竞争相互作用的混合自旋ising模型的周期基态

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00041-1

Farrukh Mukhamedov , Muzaffar M. Rahmatullaev, Dilshodbek O. EgAMOV

引用次数: 0

Conserved currents from nonlocal constants in relativistic scalar field theories 相对论标量场论中非局部常数的守恒流

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00040-X

Mattia Scomparin

引用次数: 1

Jacobi vector fields and conjugate points on warped product manifolds 翘曲积流形上的Jacobi向量场和共轭点

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-06-01 DOI: 10.1016/S0034-4877(23)00043-5

Alexander Dirmeier, Mike Scherfner, Sameh Shenawy, Bülent ÜnAL

引用次数: 1