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Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state

文献类型：期刊论文

作者Evslin, Jarah
刊名JOURNAL OF HIGH ENERGY PHYSICS
出版日期2019
卷号2019期号:10页码:42
关键词Bethe Ansatz Integrable Field Theories Field Theories in Lower Dimensions Lattice Integrable Models
ISSN号1029-8479
DOI10.1007/JHEP10(2019)248
通讯作者Evslin, Jarah(jarah@impcas.ac.cn)
英文摘要The Tonks-Girardeau model is a quantum mechanical model of N impenetrable bosons in 1+1 dimensions. A Vandermonde determinant provides the exact N -particle wave function of the ground state, or equivalently the matrix elements with respect to position eigenstates. We consider the large N limit of these matrix elements. We present a binning prescription which calculates the leading terms of the matrix elements in a time which is independent of N, and so is suitable for this limit. In this sense, it allows one to solve for the ground state of a strongly coupled continuum quantum field theory in the field eigenstate basis. As examples, we calculate the matrix elements with respect to states with uniform density and also states consisting of two regions with distinct densities.
资助项目[CAS Key Research Program of Frontier Sciences] ; [NSFC MianShang grants] ; [Recruitment Program of High-end Foreign Experts]
WOS研究方向Physics
语种英语
WOS记录号WOS:000495735600001
出版者SPRINGER
资助机构CAS Key Research Program of Frontier Sciences ; NSFC MianShang grants ; Recruitment Program of High-end Foreign Experts
源URL[http://119.78.100.186/handle/113462/136863]  
专题中国科学院近代物理研究所
作者单位Institute of Modern Physics, Chinese Academy of Sciences
推荐引用方式
GB/T 7714		 Evslin, Jarah. Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019,2019(10):42.
APA Evslin, Jarah.(2019).Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state.JOURNAL OF HIGH ENERGY PHYSICS,2019(10),42.
MLA Evslin, Jarah."Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state".JOURNAL OF HIGH ENERGY PHYSICS 2019.10(2019):42.

入库方式： OAI收割

来源：近代物理研究所

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