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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
{"title":"Time of arrival operator in the momentum space","authors":"A.M. Schlichtinger,&nbsp;A. Jadczyk","doi":"10.1016/S0034-4877(23)00037-X","DOIUrl":"10.1016/S0034-4877(23)00037-X","url":null,"abstract":"<div><p><span>It is shown that in presence of certain external fields a well-defined self-adjoint time operator exists, satisfying the standard canonical commutation relations with the </span>Hamiltonian<span>. Examples include uniform electric and gravitational fields with nonrelativistic and relativistic Hamiltonians. The physical intepretation of these operators is proposed in terms of time of arrival in the momentum space.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 301-313"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48726352","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
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
{"title":"Periodic ground states for the mixed spin ising model with competing interactions on a Cayley tree","authors":"Farrukh Mukhamedov ,&nbsp;Muzaffar M. Rahmatullaev,&nbsp;Dilshodbek O. EgAMOV","doi":"10.1016/S0034-4877(23)00041-1","DOIUrl":"10.1016/S0034-4877(23)00041-1","url":null,"abstract":"<div><p>In the present paper, translation-invariant and periodic ground states are described for a mixed spin Ising model with competing interactions on the Cayley tree of order two. The limiting behaviour of various Gibbs measures of our mixed spin Ising model is discussed as well.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 379-393"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48864948","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
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
{"title":"Conserved currents from nonlocal constants in relativistic scalar field theories","authors":"Mattia Scomparin","doi":"10.1016/S0034-4877(23)00040-X","DOIUrl":"10.1016/S0034-4877(23)00040-X","url":null,"abstract":"<div><p><span>Nonlocal constants are functions that are constant along motion but whose value depends on the past history of the motion itself. They have been introduced to study ODEs<span> and, among all applications, they provide first integrals in special cases. In this respect, a new approach to get nonlocal constants within the framework of Lagrangian </span></span>scalar field theory is introduced. We derive locally-conserved currents from them, and we prove the consistency of our results by recovering some standard Noetherian results. Applications include the real/complex nonlinear interacting theory and the real dissipative Klein–Gordon theory.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 359-377"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46983060","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: 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
{"title":"Jacobi vector fields and conjugate points on warped product manifolds","authors":"Alexander Dirmeier,&nbsp;Mike Scherfner,&nbsp;Sameh Shenawy,&nbsp;Bülent ÜnAL","doi":"10.1016/S0034-4877(23)00043-5","DOIUrl":"10.1016/S0034-4877(23)00043-5","url":null,"abstract":"<div><p>In this paper, the structure of Jacobi vector fields on warped product manifolds is investigated. Many characterizations of Jacobi vector fields on warped product manifolds are obtained. Consequently, conjugate points on warped product manifolds are also considered. Finally, we apply our results to characterize conjugate points of some well-known warped product spacetimes.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 3","pages":"Pages 409-422"},"PeriodicalIF":0.8,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46789529","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: 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,&nbsp;Mohd Azmi,&nbsp;Ghulam Mohammad","doi":"10.1016/S0034-4877(23)00027-7","DOIUrl":"10.1016/S0034-4877(23)00027-7","url":null,"abstract":"<div><p>In this work, we study cyclic codes of length <em>n</em> over a finite commutative non-chain ring\u0000<span><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></span> where\u0000<span><math><mrow><mi>γ</mi><mo>,</mo><mi>ϵ</mi><mo>∈</mo><msubsup><mi>F</mi><mi>q</mi><mo>*</mo></msubsup></mrow></math></span><span><span> and we find new and better quantum error-correcting codes than previously known quantum error correcting codes. Then certain constraints are imposed on the </span>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 </span><em>n</em> over\u0000<span><math><mi>ℛ</mi></math></span> is a linear complementary dual code of length 4<em>n</em> over\u0000<span><math><mrow><msub><mi>F</mi><mi>q</mi></msub></mrow></math></span> by establishing a Gray map.</p></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
{"title":"AN UNBOUNDED GENERALIZATION OF TOMITA's OBSERVABLE ALGEBRAS II","authors":"Hiroshi Inoue","doi":"10.1016/S0034-4877(23)00028-9","DOIUrl":"https://doi.org/10.1016/S0034-4877(23)00028-9","url":null,"abstract":"<div><p>In a previous paper <span>[4]</span> we tried to build the basic theory of unbounded Tomita's observable algebras called <em>T</em><sup>†</sup><span>-algebras which are related to unbounded operator algebras<span><span>, especially unbounded Tomita-Takesaki theory, operator algebras on Krein spaces, studies of positive linear functionals on *-algebras and so on. And we defined the notions of regularity, </span>semisimplicity and singularity of </span></span><em>T</em><sup>†</sup>-algebras and characterized them. In this paper we shall proceed further with our studies of <em>T</em><sup>†</sup>-algebras and investigate whether a <em>T</em><sup>†</sup><span>-algebra is decomposable into a regular part and a singular part.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 2","pages":"Pages 251-276"},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49737655","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: 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
{"title":"MAGNETIC FIELDS ON THE TANGENT BUNDLE OVER KÄHLERIAN MANIFOLDS","authors":"Nour Elhouda Djaa,&nbsp;Aydin Gezer,&nbsp;Mustapha Djaa","doi":"10.1016/S0034-4877(23)00022-8","DOIUrl":"10.1016/S0034-4877(23)00022-8","url":null,"abstract":"<div><p>This paper is devoted to the study of generalized magnetic vector fields as magnetic maps from a Kählerian manifold to its tangent bundle<span> endowed with a Berger type deformed Sasaki metric. Some properties of Killing magnetic vector fields are provided specially in the case of an Einstein manifold and a space form. In the last section, we consider the case of unit tangent bundle.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 2","pages":"Pages 143-164"},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41594521","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
WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS 局部共形平坦洛伦兹三流形上的弱爱因斯坦条件
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)00024-1
Parvane Atashpeykar, Amirhesam Zaeim , Ali Haji-Badali
{"title":"WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS","authors":"Parvane Atashpeykar,&nbsp;Amirhesam Zaeim ,&nbsp;Ali Haji-Badali","doi":"10.1016/S0034-4877(23)00024-1","DOIUrl":"https://doi.org/10.1016/S0034-4877(23)00024-1","url":null,"abstract":"<div><p>We classify the Lorentzian manifolds of dimension <em>n</em> ≥ 3 admitting some diagonalizable operators which satisfy the Codazzi equation. This classification is applied to characterize three-dimensional weakly-Einstein Lorentzian manifolds which fall in the conformal class of the flat metrics.</p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 2","pages":"Pages 183-198"},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49738006","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
ON A SPECIAL COUPLED LATTICE SYSTEM OF THE DISCRETE BOUSSINESQ TYPE 一类特殊的离散boussinesq型耦合晶格系统
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)00026-5
Guesh Yfter Tela, Da-jun Zhang
{"title":"ON A SPECIAL COUPLED LATTICE SYSTEM OF THE DISCRETE BOUSSINESQ TYPE","authors":"Guesh Yfter Tela,&nbsp;Da-jun Zhang","doi":"10.1016/S0034-4877(23)00026-5","DOIUrl":"10.1016/S0034-4877(23)00026-5","url":null,"abstract":"<div><p>In this paper, we investigate a multidimensionally consistent coupled quadrilateral system of the discrete Boussinesq type, proposed by Fordy and Xenitidis recently. It is distinguished from the known discrete Boussinesq type equations by a special dispersion relation<span>. A Bäcklund transformation is constructed and a one-soliton solution is derived using the Bäcklund transformation. We also give bilinear forms of the coupled equations and present formulae for multisoliton solutions. Both plane wave factor and phase factor in two-soliton solutions indicate the coupled systems belong to the discrete Boussinesq family, but there is no continuous correspondence in terms of the Miwa coordinates.</span></p></div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"91 2","pages":"Pages 219-235"},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47703752","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
WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS 局部共形平坦洛伦兹三流形上的弱爱因斯坦条件
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)00024-1
Parvane Atashpeykar, A. Zaeim, A. Haji-Badali
{"title":"WEAKLY-EINSTEIN CONDITIONS OVER LOCALLY CONFORMALLY FLAT LORENTZIAN THREE-MANIFOLDS","authors":"Parvane Atashpeykar, A. Zaeim, A. Haji-Badali","doi":"10.1016/s0034-4877(23)00024-1","DOIUrl":"https://doi.org/10.1016/s0034-4877(23)00024-1","url":null,"abstract":"","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56035580","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
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