Reports on Mathematical Physics最新文献_第10页

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

NEW QUANTUM AND LCD CODES FROM CYCLIC CODES OVER A FINITE NON-CHAIN RING 有限非链环上循环码的新量子码和LCD码

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00027-7

Nadeem ur Rehman, Mohd Azmi, Ghulam Mohammad

{"title":"NEW QUANTUM AND LCD CODES FROM CYCLIC CODES OVER A FINITE NON-CHAIN RING","authors":"Nadeem ur Rehman, Mohd Azmi, Ghulam Mohammad","doi":"10.1016/S0034-4877(23)00027-7","DOIUrl":"10.1016/S0034-4877(23)00027-7","url":null,"abstract":"<div>In this work, we study cyclic codes of length n over a finite commutative non-chain ring\u0000<math><mrow><mi>ℛ</mi><mo>=</mo><msub><mi>F</mi><mi>q</mi></msub><mrow><mo>[</mo><mrow><mi>u</mi><mo>,</mo><mi>v</mi></mrow><mo>]</mo></mrow><mo>/</mo><mrow><mo>〈</mo><mrow><msup><mi>u</mi><mn>2</mn></msup><mo>−</mo><mi>γ</mi><mi>u</mi><mo>,</mo><msup><mi>v</mi><mn>2</mn></msup><mo>−</mo><mi>ϵ</mi><mi>v</mi><mo>,</mo><mi>u</mi><mi>v</mi><mo>−</mo><mi>v</mi><mi>u</mi></mrow><mo>〉</mo></mrow></mrow></math> where\u0000<math><mrow><mi>γ</mi><mo>,</mo><mi>ϵ</mi><mo>∈</mo><msubsup><mi>F</mi><mi>q</mi><mo>*</mo></msubsup></mrow></math> and we find new and better quantum error-correcting codes than previously known quantum error correcting codes. Then certain constraints are imposed on the generator polynomials of cyclic codes, so these codes become linear complementary dual codes (in short LCD codes). We then verify that the Gray image of linear complementary dual codes of length n over\u0000<math><mi>ℛ</mi></math> is a linear complementary dual code of length 4n over\u0000<math><mrow><msub><mi>F</mi><mi>q</mi></msub></mrow></math> by establishing a Gray map.</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 2","pages":"Pages 237-250"},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42311099","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

AN UNBOUNDED GENERALIZATION OF TOMITA's OBSERVABLE ALGEBRAS II 富田可观测代数的无界推广2

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00028-9

Hiroshi Inoue

引用次数: 2

MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS KÉHLERIAN流形上切丛上的磁场

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2023-04-01 DOI: 10.1016/S0034-4877(23)00022-8

Nour Elhouda Djaa, Aydin Gezer, Mustapha Djaa

引用次数: 0