Heisenberg quantization for the systems of identical particles and the Pauli exclusion prin.pdfVIP

下载本文档

4
0
约1.23万字
约 8页
2017-04-06 发布于江苏
举报
版权申诉

Heisenberg quantization for the systems of identical particles and the Pauli exclusion prin.pdf

1、有哪些信誉好的足球投注网站（book118）网站文档一经付费（服务费），不意味着购买了该文档的版权，仅供个人/单位学习、研究之用，不得用于商业用途，未经授权，严禁复制、发行、汇编、翻译或者网络传播等，侵权必究。。
2、本站所有内容均由合作方或网友上传，本站不对文档的完整性、权威性及其观点立场正确性做任何保证或承诺！文档内容仅供研究参考，付费前请自行鉴别。如您付费，意味着您自己接受本站规则且自行承担风险，本站不退款、不进行额外附加服务；查看《如何避免下载的几个坑》。如果您已付费下载过本站文档，您可以点击这里二次下载。
3、如文档侵犯商业秘密、侵犯著作权、侵犯人身权等，请点击“版权申诉”（推荐），也可以打举报电话：400-050-0827(电话支持时间：9:00-18:30)。
4、该文档为VIP文档，如果想要下载，成为VIP会员后，下载免费。
5、成为VIP后，下载本文档将扣除1次下载权益。下载后，不支持退款、换文档。如有疑问请联系我们。
6、成为VIP后，您将拥有八大权益，权益包括：VIP文档下载权益、阅读免打扰、文档格式转换、高级专利检索、专属身份标志、高级客服、多端互通、版权登记。
7、VIP文档为合作方或网友上传，每下载1次，网站将根据用户上传文档的质量评分、类型等，对文档贡献者给予高额补贴、流量扶持。如果你也想贡献VIP文档。上传文档

Heisenberg quantization for the systems of identical particles and the Pauli exclusion prin

a r X i v : h e p - t h / 0 2 0 8 0 0 7 v 1 1 A u g 2 0 0 2 Heisenberg quantization for the systems of identical particles and the Pauli exclusion principle in noncommutative spaces S. A. Alavi High Energy Physics Division, Department of Physics, University of Helsinki and Helsinki Institute of Physics, FIN-00014 Helsinki, Finland. On leave of absence from : Department of Physics, Ferdowsi University of Mashhad, Mashhad, P. O. Box 1436, Iran E-mail: Ali.Alavi@Helsinki.fi s?alialavi@ 1 Abstract. We study the Heisenberg quantization for the systems of identi- cal particles in noncommtative spaces. We get fermions and bosons as a special cases of our argument, in the same way as commutative case and therefore we conclude that the Pauli exclusion principle is also valid in noncommutative spaces. 1 Introduction. Recently there have been notable studies on the formulation and possible experimental consequences of extensions of the standard (usual) quantum me- chanics in the noncommutative spaces [1-13]. Many physical problems have been studied in the framework of the noncommutative quantum mechanics (NCQM), see e.g. [1-4]. NCQM is formulated in the same way as the standard quantum mechanics SQM (quantum mechanics in commutative spaces), that is in terms of the same dy- namical variables represented by operators in a Hilbert space and a state vector that evolves according to the Schroedinger equation : i d dt |ψ = Hnc|ψ . (1) 1 we have taken in to account h? = 1 and Hnc ≡ Hθ denotes the Hamiltonian for a given system in the noncommutative space. In the literatures two approaches have been considered for constructing the NCQM : a) Hθ = H , so that the only difference between SQM and NCQM is the presence of a nonzero θ in the commutator of the position operators : [x?i, x?j ] = iθij [x?i, p?i] = iδij [p?i, p?j ] = 0. (2) b) By deriving the Hamiltonian from the Moyal analogue of the standard Schroedinger equation : i ? ?t ψ(x, t) = H(p = 1 i ?, x) ? ψ(x, t) ≡ Hθψ(x, t),