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

doi:10.1007/JHEP10(2019)248

	Continuum limit Tonks-Girardeau matrix elements. Part I. The ground state and the uniform density state
	Evslin, Jarah
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	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
DOI	10.1007/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
出版者	SPRINGER
WOS记录号	WOS:000495735600001
资助机构	CAS Key Research Program of Frontier Sciences ; NSFC MianShang grants ; Recruitment Program of High-end Foreign Experts
内容类型	期刊论文
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.