Quasi exact solution of the Rabi Hamiltonian

被引:0
|
作者
Koç, R
Koca, M
Tütüncüler, H
机构
[1] Sultan Qaboos Univ, Coll Sci, Dept Phys, Muscat, Oman
[2] Gaziantep Univ, Fac Engn, Dept Phys, TR-27310 Gaziantep, Turkey
来源
关键词
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method is suggested to obtain the quasi exact solution of the Rabi Hamiltonian. It is conceptually simple and can be easily extended to other systems. The analytical expressions are obtained for eigenstates and eigenvalues in terms of orthogonal polynomials. It-is also demonstrated that the Rabi system, in a particular case, coincides with the quasi exactly solvable Poschl-Teller potential.
引用
收藏
页码:9425 / 9430
页数:6
相关论文
共 50 条
  • [1] EXACT SOLUTION OF THE RABI HAMILTONIAN BY KNOWN FUNCTIONS
    REIK, HG
    DOUCHA, M
    [J]. PHYSICAL REVIEW LETTERS, 1986, 57 (07) : 787 - 790
  • [3] A class of quasi-exact solutions of Rabi Hamiltonian
    Pan, Feng
    Yao, You-Kun
    Xie, Ming-Xia
    Han, Wen-Juan
    Draayer, J. P.
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2007, 48 (01) : 53 - 56
  • [4] EXACT SOLUTION OF THE EXEPSILON JAHN-TELLER AND RABI HAMILTONIAN BY GENERALIZED SPHEROIDAL WAVEFUNCTIONS
    REIK, HG
    LAIS, P
    STUTZLE, ME
    DOUCHA, M
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (18): : 6327 - 6340
  • [5] Extended study on a quasi-exact solution of the Bohr Hamiltonian
    Budaca, R.
    Buganu, P.
    Chabab, M.
    Lahbas, A.
    Oulne, M.
    [J]. ANNALS OF PHYSICS, 2016, 375 : 65 - 90
  • [6] BENDER-DUNNE ORTHOGONAL POLYNOMIALS, QUASI-EXACT SOLVABILITY AND ASYMPTOTIC ITERATION METHOD FOR RABI HAMILTONIAN
    Yahiaoui, S. -A.
    Bentaiba, M.
    [J]. ACTA PHYSICA POLONICA B, 2011, 42 (08): : 1755 - 1765
  • [7] Exact isolated solutions for the two-photon Rabi Hamiltonian
    Emary, C
    Bishop, RF
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (39): : 8231 - 8241
  • [8] Quasi-exact-solution of the generalized E ⊗ ε Jahn-Teller Hamiltonian
    Koç, R
    Tütüncüler, H
    Koca, M
    Körcük, E
    [J]. PROGRESS OF THEORETICAL PHYSICS, 2003, 110 (03): : 399 - 405
  • [9] Solution of a Hamiltonian of quantum dots with Rashba spin-orbit coupling:: quasi-exact solution
    Tütüncüler, H
    Koç, R
    Olgar, E
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2004, 37 (47): : 11431 - 11438
  • [10] RABI OSCILLATIONS IN GRAVITATIONAL-FIELDS - EXACT SOLUTION
    LAMMERZAHL, C
    BORDE, CJ
    [J]. PHYSICS LETTERS A, 1995, 203 (2-3) : 59 - 67