Reports on Mathematical Physics最新文献_第3页

QUANTUM REVIVALS AND FRACTALITY FOR THE SCHRÖDINGER EQUATION 薛定谔方程的量子复兴与分形

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI: 10.1016/S0034-4877(24)00022-3

Gunwoo Cho, Jimyeong Kim, Ihyeok Seo, Seongyeon Kim, Yehyun Kwon

引用次数: 0

CHAIN TRANSITIVITY AND SHADOWING PROPERTY IN QUANTUM DYNAMICAL SYSTEMS 量子动力学系统中的链传递性和阴影特性

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI: 10.1016/S0034-4877(24)00026-0

Mona Khare, Ravi Singh Chauhan

引用次数: 0

SINGULAR REDUCTION OF CONTACT HAMILTONIAN SYSTEMS 接触哈密顿系统的奇异还原

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI: 10.1016/S0034-4877(24)00029-6

Qianqian Xia

引用次数: 0

INVERSE SOURCE PROBLEM FOR SUBDIFFUSION EQUATION WITH A GENERALIZED IMPEDANCE BOUNDARY CONDITION 具有广义阻抗边界条件的亚扩散方程的反源问题

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI: 10.1016/S0034-4877(24)00025-9

Mansur I. Ismailov, Muhammed Çiçek

引用次数: 0

NEW QUANTUM CODES DERIVED FROM THE DIRECT PRODUCT OF RINGS, USING CYCLIC CODES OVER THE RING 利用环上的循环码，从环的直接乘积推导出新的量子密码

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI: 10.1016/S0034-4877(24)00027-2

Pooja Soni, Manju Pruthi, Arun Kumar Yadav

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RICCI SOLITONS AND RICCI BI-CONFORMAL VECTOR FIELDS ON THE LIE GROUP ℍ2 × ℝ 里奇孤子和里奇双共形矢量场上的谎群ℍ2 × ℝ

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-04-01 DOI: 10.1016/S0034-4877(24)00028-4

Shahroud Azami, Mehdi Jafari

引用次数: 0

New regularity criteria for an MHD Darcy-Forchheimer fluid 多流体力学达西-福克海默流体的新规则性标准

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-02-01 DOI: 10.1016/S0034-4877(24)00008-9

Saeed ur Rahman, José Luis Díaz Palencia

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引用次数: 0

Galilean and Carrollian Hodge star operators 伽利略和卡罗尔霍奇星算子

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-02-01 DOI: 10.1016/S0034-4877(24)00007-7

Marián Fecko

引用次数: 0

Zero-error correctibility and phase retrievability for twirling channels 旋转信道的零误差可纠正性和相位可检索性

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-02-01 DOI: 10.1016/S0034-4877(24)00012-0

Deguang Han, Kai Liu

{"title":"Zero-error correctibility and phase retrievability for twirling channels","authors":"Deguang Han, Kai Liu","doi":"10.1016/S0034-4877(24)00012-0","DOIUrl":"https://doi.org/10.1016/S0034-4877(24)00012-0","url":null,"abstract":"<div>A twirling channel is a quantum channel induced by a continuous unitary representation\u0000<math><mrow><mi>π</mi><mo>=</mo><msubsup><mo>∑</mo><mi>i</mi><mo>⊕</mo></msubsup><mrow><msub><mi>m</mi><mi>i</mi></msub><msub><mi>π</mi><mi>i</mi></msub></mrow></mrow></math> on a compact group G, where πi are inequivalent irreducible representations. Motivated by a recent work [8] on minimal mixed unitary rank of Φπ, we explore the connections of the independence number, zero-error capacity, quantum codes, orthogonality index and phase retrievability of the quantum channel Φπ with the irreducible representation multiplicities mi and the irreducible representation dimensions dim\u0000<math><mrow><msub><mi>H</mi><mrow><msub><mi>π</mi><mi>i</mi></msub></mrow></msub></mrow></math>. In particular, we show that the independence number of Φπ is the sum of the multiplicities, the orthogonal index of Φπ is exactly the sum of those representation dimensions, and the zero-error capacity is equal to log\u0000<math><mrow><mrow><mo>(</mo><mrow><msubsup><mo>∑</mo><mrow><mi>i</mi><mo>=</mo><mn>1</mn></mrow><mi>d</mi></msubsup><mrow><msub><mi>m</mi><mi>i</mi></msub></mrow></mrow><mo>)</mo></mrow></mrow></math>. We also present a lower bound for the phase retrievability in terms of the minimal length of phase retrievable frames for ℂn</div>","PeriodicalId":49630,"journal":{"name":"Reports on Mathematical Physics","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0034487724000120/pdfft?md5=c13c155f18d2d613dd2d69aa31d00367&pid=1-s2.0-S0034487724000120-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139976004","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

Lie integrability by quadratures for symplectic, cosymplectic, contact and cocontact Hamiltonian systems 交折射、余折射、接触和共接触哈密顿系统的四元数的列积分性

IF 0.8 4区物理与天体物理

Reports on Mathematical Physics Pub Date : 2024-02-01 DOI: 10.1016/S0034-4877(24)00009-0

R. Azuaje

引用次数: 0