ITP OpenIR  > SCI期刊论文
Pan, F; Zhang, YZ; Draayer, JP; Zhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
Exact solution of the two-axis countertwisting Hamiltonian
Source PublicationANNALS OF PHYSICS
Language英语
KeywordExactly Solvable Models Two-axis Countertwisting Interactions Bethe Ansatz
AbstractIt is shown that the two-axis countertwisting Hamiltonian is exactly solvable when the quantum number of the total angular momentum of the system is an integer after the Jordan-Schwinger (differential) boson realization of the SU(2) algebra. Algebraic Bethe ansatz is used to get the exact solution with the help of the SU(1,1) algebraic structure, from which a set of Bethe ansatz equations of the problem is derived. It is shown that solutions of the Bethe ansatz equations can be obtained as zeros of the Heine Stieltjes polynomials. The total number of the four sets of the zeros equals exactly 2J + 1 for a given integer angular momentum quantum number J, which proves the completeness of the solutions. It is also shown that double degeneracy in level energies may also occur in the J -> infinity limit for integer J case except a unique non-degenerate level with zero excitation energy. (C) 2016 Elsevier Inc. All rights reserved.
2017
Volume376Pages:182-193
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1016/j.aop.2016.11.019
Funding OrganizationUS National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US National Science Foundation [OCI-0904874, ACI-1516338] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; US Department of Energy [DE-SC0005248] ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; Southeastern Universities Research Association ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; China-US Theory Institute for Physics with Exotic Nuclei (CUSTIPEN) [DE-SC0009971] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; National Natural Science Foundation of China [11375080, 11675071] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; Australian Research Council [DP140101492] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961] ; LSU-LNNU joint research program [9961]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22167
CollectionSCI期刊论文
Corresponding AuthorZhang, YZ (reprint author), Univ Queensland, Sch Math & Phys, Brisbane, Qld 4072, Australia.
Recommended Citation
GB/T 7714
Pan, F,Zhang, YZ,Draayer, JP,et al. Exact solution of the two-axis countertwisting Hamiltonian[J]. ANNALS OF PHYSICS,2017,376:182-193.
APA Pan, F,Zhang, YZ,Draayer, JP,&Zhang, YZ .(2017).Exact solution of the two-axis countertwisting Hamiltonian.ANNALS OF PHYSICS,376,182-193.
MLA Pan, F,et al."Exact solution of the two-axis countertwisting Hamiltonian".ANNALS OF PHYSICS 376(2017):182-193.
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