Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

doi:10.1088/1674-1056/19/12/124205

中国物理B ›› 2010, Vol. 19 ›› Issue (12): 124205-124205.doi: 10.1088/1674-1056/19/12/124205

Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

孟祥国¹, 梁宝龙¹, 王继锁²

(1)Department of Physics, Liaocheng University, Liaocheng 252059, China; (2)Department of Physics, Liaocheng University, Liaocheng 252059, China;Department of Physics, Qufu Normal University, Qufu 273165, China

收稿日期:2010-04-02 修回日期:2010-08-16 出版日期:2010-12-15 发布日期:2010-12-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23) and the Shandong Provincal Higher Educational Science and Technology Program of China (Grant Nos. J09LA07 and J10LA15).

Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

Meng Xiang-Guo(孟祥国)^a)†, Wang Ji-Suo(王继锁)^a)b), and Liang Bao-Long(梁宝龙)^a)

^a Department of Physics, Liaocheng University, Liaocheng 252059, China; ^b Department of Physics, Qufu Normal University, Qufu 273165, China

Received:2010-04-02 Revised:2010-08-16 Online:2010-12-15 Published:2010-12-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10574060), the Natural Science Foundation of Shandong Province of China (Grant No. Y2008A23) and the Shandong Provincal Higher Educational Science and Technology Program of China (Grant Nos. J09LA07 and J10LA15).

摘要/Abstract

摘要： In this paper we find that a set of energy eigenstates of a two-dimensional anisotropic harmonic potential in a uniform magnetic field is classified as the atomic coherent states |τ> in terms of the spin values of j in the Schwinger bosonic realization. The correctness of the above conclusions can be verified by virtue of the entangled state <η| representation of the state |τ>.

Abstract: In this paper we find that a set of energy eigenstates of a two-dimensional anisotropic harmonic potential in a uniform magnetic field is classified as the atomic coherent states $|\tau\rangle$ in terms of the spin values of j in the Schwinger bosonic realization. The correctness of the above conclusions can be verified by virtue of the entangled state $\langle \eta|$ representation of the state $|\tau\rangle$.

Key words: two-dimensional anisotropic harmonic oscillator, uniform magnetic field, atomic coherent state, entangled state representation

中图分类号: (Linear algebra)

02.10.Ud

42.50.Dv (Quantum state engineering and measurements) 42.50.Gy (Effects of atomic coherence on propagation, absorption, and Amplification of light; electromagnetically induced transparency and Absorption)

孟祥国, 王继锁, 梁宝龙. Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field[J]. 中国物理B, 2010, 19(12): 124205-124205.

Meng Xiang-Guo(孟祥国), Wang Ji-Suo(王继锁), and Liang Bao-Long(梁宝龙). Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field[J]. Chin. Phys. B, 2010, 19(12): 124205-124205.

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Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

Atomic coherent states as energy eigenstates of a Hamiltonian describing a two-dimensional anisotropic harmonic potential in a uniform magnetic field

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