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Journal of physics A: Mathematical and general最新文献

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Inertia of a generic stress tensor of spherical symmetry 球对称的一般应力张量的惯性
Journal of physics A: Mathematical and general Pub Date : 2006-11-01 DOI: 10.1088/0305-4470/39/46/019
R. Medina
{"title":"Inertia of a generic stress tensor of spherical symmetry","authors":"R. Medina","doi":"10.1088/0305-4470/39/46/019","DOIUrl":"https://doi.org/10.1088/0305-4470/39/46/019","url":null,"abstract":"The stress contribution to the inertia of a spherically symmetric charged particle is calculated for a generic stress tensor of spherical symmetry. It is found that it is equal to the result for the isotropic pressure case, which has been previously calculated (Medina R 2006 J. Phys. A: Math. Gen. 39 3801–16).","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88969957","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The magnetic two-centre problem: some rigorous properties 磁双中心问题:一些严格的性质
Journal of physics A: Mathematical and general Pub Date : 2006-11-01 DOI: 10.1088/0305-4470/39/46/009
J. Ackermann, H. Hogreve
{"title":"The magnetic two-centre problem: some rigorous properties","authors":"J. Ackermann, H. Hogreve","doi":"10.1088/0305-4470/39/46/009","DOIUrl":"https://doi.org/10.1088/0305-4470/39/46/009","url":null,"abstract":"We study the quantum mechanical magnetic two-centre problem, i.e., quantum states of an electron within the Coulomb field of two fixed nuclear centres and a homogeneous magnetic field. From the corresponding nonrelativistic Schrödinger equation various characteristic properties are derived. These include the ordering of energy levels and the monotonicity of electronic energies as a function of the nuclear separation if the internuclear axis is parallel to the direction of the B field. For such situations we also obtain lower bounds on the equilibrium separation between the nuclei and establish decay properties of bound state wavefunctions. Moreover, the molecular virial theorem is generalized to encompass the contributions from the magnetic field.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90572280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Integrable properties of a variable-coefficient Korteweg–de Vries model from Bose–Einstein condensates and fluid dynamics 玻色-爱因斯坦凝聚体和流体动力学的变系数Korteweg-de Vries模型的可积性
Journal of physics A: Mathematical and general Pub Date : 2006-11-01 DOI: 10.1088/0305-4470/39/46/008
Chun-Yi Zhang, Yi-Tian Gao, Xiang-Hua Meng, Juan Li, Tao Xu, Guangmei Wei, Hong-Wu Zhu
{"title":"Integrable properties of a variable-coefficient Korteweg–de Vries model from Bose–Einstein condensates and fluid dynamics","authors":"Chun-Yi Zhang, Yi-Tian Gao, Xiang-Hua Meng, Juan Li, Tao Xu, Guangmei Wei, Hong-Wu Zhu","doi":"10.1088/0305-4470/39/46/008","DOIUrl":"https://doi.org/10.1088/0305-4470/39/46/008","url":null,"abstract":"The phenomena of the trapped Bose–Einstein condensates related to matter waves and nonlinear atom optics can be governed by a variable-coefficient Korteweg–de Vries (vc-KdV) model with additional terms contributed from the inhomogeneity in the axial direction and the strong transverse confinement of the condensate, and such a model can also be used to describe the water waves propagating in a channel with an uneven bottom and/or deformed walls. In this paper, with the help of symbolic computation, the bilinear form for the vc-KdV model is obtained and some exact solitonic solutions including the N-solitonic solution in explicit form are derived through the extended Hirota method. We also derive the auto-Bäcklund transformation, nonlinear superposition formula, Lax pairs and conservation laws of this model. Finally, the integrability of the variable-coefficient model and the characteristic of the nonlinear superposition formula are discussed.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82600586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 29
Momentum-cutoff regularization and gauge invariance in QED QED中的动量截断正则化和规范不变性
Journal of physics A: Mathematical and general Pub Date : 2006-10-27 DOI: 10.1088/0305-4470/39/43/012
Yan Gu
{"title":"Momentum-cutoff regularization and gauge invariance in QED","authors":"Yan Gu","doi":"10.1088/0305-4470/39/43/012","DOIUrl":"https://doi.org/10.1088/0305-4470/39/43/012","url":null,"abstract":"Based on a gauge-invariant form of the electron propagation function, we propose a formalism for QED which preserves its gauge-invariant character when both photon and electron propagators are regularized with a sharp momentum-cutoff procedure. Perturbation calculations of the regularized fermion effective action functional of an external electromagnetic field are given. We study radiative corrections induced by a momentum-cutoff vacuum and derive the corresponding Ward–Takahashi identity. Several problems encountered in an attempt of constructing a momentum-cutoff QED model are discussed.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86781338","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
A new criterion for indecomposability of positive maps 正映射不可分解性的新判据
Journal of physics A: Mathematical and general Pub Date : 2006-10-24 DOI: 10.1088/0305-4470/39/45/020
William Hall
{"title":"A new criterion for indecomposability of positive maps","authors":"William Hall","doi":"10.1088/0305-4470/39/45/020","DOIUrl":"https://doi.org/10.1088/0305-4470/39/45/020","url":null,"abstract":"We give a criterion for a positive mapping on the space of operators on a Hilbert space to be indecomposable. We show that this criterion can be applied to two families of positive maps. These families of maps can then be used to form separability criteria for bipartite quantum states that can detect the entanglement of bound entangled quantum states.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75280657","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 54
On the definition of an admitted Lie group for stochastic differential equations with multi-Brownian motion 多布朗运动随机微分方程容许李群的定义
Journal of physics A: Mathematical and general Pub Date : 2006-10-24 DOI: 10.1088/0305-4470/39/45/006
B. Srihirun, S. Meleshko, E. Schulz
{"title":"On the definition of an admitted Lie group for stochastic differential equations with multi-Brownian motion","authors":"B. Srihirun, S. Meleshko, E. Schulz","doi":"10.1088/0305-4470/39/45/006","DOIUrl":"https://doi.org/10.1088/0305-4470/39/45/006","url":null,"abstract":"The definition of an admitted Lie group of transformations for stochastic differential equations has been already presented for equations with one-dimensional Brownian motion. The transformation of the dependent variables involves time as well, and it has been proven that Brownian motion is transformed to Brownian motion. In this paper, we will discuss this concept for stochastic differential equations involving multi-dimensional Brownian motion and present applications to a variety of stochastic differential equations.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79484637","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 21
Stochastic resonance in a mono-stable system with multiplicative and additive noise 具有乘性和加性噪声的单稳定系统的随机共振
Journal of physics A: Mathematical and general Pub Date : 2006-10-24 DOI: 10.1088/0305-4470/39/45/002
Feng Guo, Yu-rong Zhou, Shiqi Jiang, Tianxiang Gu
{"title":"Stochastic resonance in a mono-stable system with multiplicative and additive noise","authors":"Feng Guo, Yu-rong Zhou, Shiqi Jiang, Tianxiang Gu","doi":"10.1088/0305-4470/39/45/002","DOIUrl":"https://doi.org/10.1088/0305-4470/39/45/002","url":null,"abstract":"The stochastic resonance in a biased mono-stable system subject to multiplicative and additive noise is investigated. Based on the adiabatic approximation theory, the analytic expression of the signal-to-noise ratio (SNR) is obtained. It is shown that the SNR is a non-monotonic function of the intensities of the multiplicative and additive noise, as well as the parameters of the mono-stable system.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88624549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
Self-avoiding walks in a slab: rigorous results 自我避免在平板上行走:严格的结果
Journal of physics A: Mathematical and general Pub Date : 2006-10-24 DOI: 10.1088/0305-4470/39/45/003
E J Janse van Rensburg, E. Orlandini, S G Whittingon
{"title":"Self-avoiding walks in a slab: rigorous results","authors":"E J Janse van Rensburg, E. Orlandini, S G Whittingon","doi":"10.1088/0305-4470/39/45/003","DOIUrl":"https://doi.org/10.1088/0305-4470/39/45/003","url":null,"abstract":"A polymer in the confined spaces between colloid particles loses entropy and exerts a repulsive entropic force on the confining particles. This situation can be modelled by a self-avoiding walk confined in a slab between two parallel planes in the lattice. In this paper, we prove the existence of a limiting free energy for the general case that the walk is interacting with the parallel bounding planes. We also prove that the limiting free energy is strictly increasing with the distance between the bounding planes in some regions of the phase diagram. These results demonstrate the presence of a non-zero repulsive entropic force in the model. Finally, we also examine the relation between the limiting free energy in this model and the limiting free energy in a model of walks adsorbing onto a single plane. We prove that these limiting free energies are equal in some regions of the phase diagram in the limit that the width of the slab between the parallel bounding planes is taken to infinity.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88349269","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 29
Two-tier formulation of multichannel scattering theory and hypervirial theorems 多通道散射理论的两层公式和超虚定理
Journal of physics A: Mathematical and general Pub Date : 2006-10-24 DOI: 10.1088/0305-4470/39/45/019
Y. Hahn
{"title":"Two-tier formulation of multichannel scattering theory and hypervirial theorems","authors":"Y. Hahn","doi":"10.1088/0305-4470/39/45/019","DOIUrl":"https://doi.org/10.1088/0305-4470/39/45/019","url":null,"abstract":"Complex dynamics of a multichannel scattering may be treated by a variational procedure. But the conventional variational principles are not readily applicable because of (i) the intrinsic difficulties of unstable fluctuations in the calculated amplitudes as functions of nonlinear parameters and (ii) lack of criteria to optimize the solutions. A two-tier theory is formulated in which the complex dynamical mixing and the asymptotic channel sector are treated separately, but as a coupled system, such that the instability problem (i) is resolved naturally in a mathematically consistent way, even when most of the weakly coupled open channels are neglected. The resulting solution is stable, but not necessarily optimal. Modified forms of hypervirial theorems are introduced to optimize the solutions, thus rectifying the shortcoming (ii). Thus, the reformulated theory for the scattering states, coupled with a properly chosen hypervirial theorem, can be applied effectively to many-body, multichannel scattering systems.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82570519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
Kac's question, planar isospectral pairs and involutions in projective space: II. Classification of generalized projective isospectral data 投影空间中的平面等谱对和对合;2。广义射影等谱数据的分类
Journal of physics A: Mathematical and general Pub Date : 2006-10-20 DOI: 10.1088/0305-4470/39/42/004
K. Thas
{"title":"Kac's question, planar isospectral pairs and involutions in projective space: II. Classification of generalized projective isospectral data","authors":"K. Thas","doi":"10.1088/0305-4470/39/42/004","DOIUrl":"https://doi.org/10.1088/0305-4470/39/42/004","url":null,"abstract":"In Am. Math. Monthly (73 1–23 (1966)), Kac asked his famous question ‘Can one hear the shape of a drum?’, which was eventually answered negatively in Gordon et al (1992 Invent. Math. 110 1–22) by construction of planar isospectral pairs. Giraud (2005 J. Phys. A: Math. Gen. 38 L477–83) observed that most of the known examples can be generated from solutions of a certain equation which involves a set of involutions of an n-dimensional projective space over some finite field. He then generated all possible solutions for n = 2, when the involutions fix the same number of points. In Thas (2006 J. Phys. A: Math. Gen. 39 L385–8) we showed that no other examples arise for any other dimension, still assuming that the involutions fix the same number of points. In this paper we study the problem for involutions not necessarily fixing the same number of points, and solve the problem completely.","PeriodicalId":87442,"journal":{"name":"Journal of physics A: Mathematical and general","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2006-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87540238","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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