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Correlation energy of weakly interacting Fermi gases 弱相互作用费米气体的相关能
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-06-22 DOI: 10.1142/s0129055x23600012
B. Schlein
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引用次数: 0
Positive solutions for fractional Kirchhoff-Schrodinger-Poisson systems with steep potential well 具有陡势井的分数阶Kirchhoff-Schrodinger-Poisson系统的正解
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-06-22 DOI: 10.1142/s0129055x23500241
Hui Jian, Qiaocheng Zhong, L. xilinx Wang
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引用次数: 0
On Tsirelson pairs of C*-algebras C*-代数的Tsirelson对
3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-06-21 DOI: 10.1142/s0129055x23500162
Isaac Goldbring, Bradd Hart
{"title":"On Tsirelson pairs of C*-algebras","authors":"Isaac Goldbring, Bradd Hart","doi":"10.1142/s0129055x23500162","DOIUrl":"https://doi.org/10.1142/s0129055x23500162","url":null,"abstract":"We introduce the notion of a Tsirelson pair of C*-algebras, which is a pair of C*-algebras for which the space of quantum strategies obtained by using states on the minimal tensor product of the pair is dense in the space of quantum strategies obtained by using states on the maximal tensor product. We exhibit a number of examples of such pairs that are “nontrivial” in the sense that the minimal tensor product and the maximal tensor product of the pair are not isomorphic. For example, we prove that any pair containing a C*-algebra with Kirchberg’s QWEP property is a Tsirelson pair. We then introduce the notion of a C*-algebra with the Tsirelson property (TP) and establish a number of closure properties for this class. We also show that the class of C*-algebras with the TP forms an elementary class (in the sense of model theory), but that this class does not admit an effective axiomatization.","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":"419 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136296397","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Quantum polynomials from deformed quantum algebras: probability distributions, generating functions and difference equations 变形量子代数的量子多项式:概率分布，生成函数和差分方程
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-06-13 DOI: 10.1142/s0129055x23500198
M. N. Hounkonnou, Fridolin Melong
{"title":"Quantum polynomials from deformed quantum algebras: probability distributions, generating functions and difference equations","authors":"M. N. Hounkonnou, Fridolin Melong","doi":"10.1142/s0129055x23500198","DOIUrl":"https://doi.org/10.1142/s0129055x23500198","url":null,"abstract":"","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46593970","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Properties of Fredholm, Weyl and Jeribi Essential S-Spectra in a Right Quaternionic Hilbert Space 右四元数Hilbert空间中Fredholm、Weyl和Jeribi本质S谱的性质
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-06-13 DOI: 10.1142/s0129055x23500216
P. Dharmarha, Sarita Kumari
{"title":"Properties of Fredholm, Weyl and Jeribi Essential S-Spectra in a Right Quaternionic Hilbert Space","authors":"P. Dharmarha, Sarita Kumari","doi":"10.1142/s0129055x23500216","DOIUrl":"https://doi.org/10.1142/s0129055x23500216","url":null,"abstract":"","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49639892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Quantum Markov Semigroup for Open Quantum System Interacting with Quantum Bernoulli Noises 与量子伯努利噪声相互作用的开放量子系统的量子Markov半群
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-05-11 DOI: 10.1142/s0129055x23500150
Lunchuan Zhang, Caishi Wang
{"title":"Quantum Markov Semigroup for Open Quantum System Interacting with Quantum Bernoulli Noises","authors":"Lunchuan Zhang, Caishi Wang","doi":"10.1142/s0129055x23500150","DOIUrl":"https://doi.org/10.1142/s0129055x23500150","url":null,"abstract":"","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45005759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Lower bounds on the energy of the Bose gas 玻色气体能量的下界
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-05-01 DOI: 10.1142/s0129055x23600048
S. Fournais, T. Girardot, Lukas Junge, L'eo Morin, Marco Olivieri
{"title":"Lower bounds on the energy of the Bose gas","authors":"S. Fournais, T. Girardot, Lukas Junge, L'eo Morin, Marco Olivieri","doi":"10.1142/s0129055x23600048","DOIUrl":"https://doi.org/10.1142/s0129055x23600048","url":null,"abstract":"We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the box is larger than the Gross-Pitaevski length scale. The presentation includes both the 2 and 3 dimensional cases, and catches the second order correction, i.e. the Lee-Huang-Yang term. The calculation on a box of this length scale is the main step to calculate the energy in the thermodynamic limit. However, the periodic boundary condition simplifies many steps of the argument considerably compared to the localized problem coming from the thermodynamic case.","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43703645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
External gauge field coupled quantum dynamics: gauge choices, Heisenberg algebra representations and gauge invariance in general, and the Landau problem in particular 外部规范场耦合量子动力学:规范选择，海森堡代数表示和规范不变性，特别是朗道问题
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-04-25 DOI: 10.1142/S0129055X23500149
J. Govaerts
{"title":"External gauge field coupled quantum dynamics: gauge choices, Heisenberg algebra representations and gauge invariance in general, and the Landau problem in particular","authors":"J. Govaerts","doi":"10.1142/S0129055X23500149","DOIUrl":"https://doi.org/10.1142/S0129055X23500149","url":null,"abstract":"Even though its classical equations of motion are then left invariant, when an action is redefined by an additive total derivative or divergence term (in time, in the case of a mechanical system) such a transformation induces nontrivial consequences for the system's canonical phase space formulation. This is even more true and then in more subtle ways for the canonically quantised dynamics, with in particular an induced transformation in the unitary configuration space representation of the Heisenberg algebra being used for the quantum system. When coupled to a background gauge field, such considerations become crucial for a proper understanding of the consequences for the system's quantum dynamics of gauge transformations of that classical external background gauge field, while under such transformations the system's degrees of freedom, abstract quantum states and quantum dynamics are certainly strictly invariant. After a detailed analysis of these different points in a general context, these are then illustrated specifically in the case of the quantum Landau problem with its classical external background magnetic vector potential for which the most general possible parametrised gauge choice is implemented herein. The latter discussion aims as well to clarify some perplexing statements in the literature regarding the status of gauge choices to be made for the magnetic vector potential for that quantum system. The role of the global space-time symmetries of the Landau problem and their gauge invariant Noether charges is then also emphasized.","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-04-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47826144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Large N two-dimensional yang-mills fields for the spectral behavior of brownian particles & relativistic many-body systems 布朗粒子光谱行为的大N二维杨-米尔斯场&相对论多体系统
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-03-31 DOI: 10.1142/s0129055x23500137
T. Ganesan
{"title":"Large N two-dimensional yang-mills fields for the spectral behavior of brownian particles & relativistic many-body systems","authors":"T. Ganesan","doi":"10.1142/s0129055x23500137","DOIUrl":"https://doi.org/10.1142/s0129055x23500137","url":null,"abstract":"","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45387984","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Geometry of almost contact metrics as an almost *-η-Ricci-Bourguignon solitons 几乎*-η-Richi-Bourguignon孤子的几乎接触度量的几何性质
IF 1.8 3区 物理与天体物理
Reviews in Mathematical Physics Pub Date : 2023-03-31 DOI: 10.1142/s0129055x23500125
S. Dey, Y. Suh
{"title":"Geometry of almost contact metrics as an almost *-η-Ricci-Bourguignon solitons","authors":"S. Dey, Y. Suh","doi":"10.1142/s0129055x23500125","DOIUrl":"https://doi.org/10.1142/s0129055x23500125","url":null,"abstract":"","PeriodicalId":54483,"journal":{"name":"Reviews in Mathematical Physics","volume":" ","pages":""},"PeriodicalIF":1.8,"publicationDate":"2023-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45136475","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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