Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case

doi:http://dx.doi.org/10.1088/1742-5468/aa5a28

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	Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case
	Pan, F; Zhang, YZ; Draayer, JP; Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.; Zhang, YZ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
刊名	JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
	2017
页码	23104
关键词	Quantum Integrability (Bethe Ansatz)
DOI	http://dx.doi.org/10.1088/1742-5468/aa5a28
英文摘要	Bethe ansatz solutions of the two-axis countertwisting Hamiltonian for any (integer and half-integer) J are derived based on the Jordan-Schwinger (differential) boson realization of the SU(2) algebra after desired Euler rotations, where J is the total angular momentum quantum number of the system. It is shown that solutions to the Bethe ansatz equations can be obtained as zeros of the extended Heine-Stieltjes polynomials. Two sets of solutions, with solution number being J + 1 and J respectively when J is an integer and J + 1/2 each when J is a half-integer, are obtained. Properties of the zeros of the related extended Heine-Stieltjes polynomials for half-integer J cases are discussed. It is clearly shown that double degenerate level energies for half-integer J are symmetric with respect to the E = 0 axis. It is also shown that the excitation energies of the 'yrast' and other 'yrare' bands can all be asymptotically given by quadratic functions of J, especially when J is large.
学科主题	Mechanics ; Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/22140]
专题	理论物理研究所_理论物理所1978-2010年知识产出
通讯作者	Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.; Zhang, YZ (reprint author), Chinese Acad Sci, CAS Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China.
推荐引用方式 GB/T 7714	Pan, F,Zhang, YZ,Draayer, JP,et al. Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case[J]. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,2017:23104.
APA	Pan, F,Zhang, YZ,Draayer, JP,Zhang, YZ ,&Zhang, YZ .(2017).Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT,23104.
MLA	Pan, F,et al."Exact solution of the two-axis countertwisting hamiltonian for the half-integer J case".JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2017):23104.