Spectra of interacting electrons in a quantum dot :: Quasi-exact solution

被引:0
|
作者
Koç, R [1 ]
Tütüncüler, H [1 ]
Olgar, E [1 ]
机构
[1] Gaziantep Univ, Fac Engn, Dept Phys, TR-27310 Gaziantep, Turkey
关键词
quantum dot; quasi-exactly-solvable systems;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a procedure to solve the Schrodinger equation of two interacting electrons in a quantum dot in the presence of an external magnetic field within the context of quasi-exactly-solvable spectral problems. We show that the symmetries of the Hamiltonian can be recovered for specific values of the magnetic field, which leads to an exact determination of the eigenvalues and eigenfunctions. We show that the problem possesses a hidden sl(2)-algebraic structure.
引用
收藏
页码:837 / 840
页数:4
相关论文
共 50 条
  • [21] Two interacting electrons in a three-dimensional parabolic quantum dot: a simple solution
    Lamouche, G
    Fishman, G
    [J]. JOURNAL OF PHYSICS-CONDENSED MATTER, 1998, 10 (35) : 7857 - 7867
  • [22] Perturbed Coulomb Potentials in the Klein–Gordon Equation: Quasi-Exact Solution
    M. Baradaran
    H. Panahi
    [J]. Few-Body Systems, 2018, 59
  • [23] Quantum control of two interacting electrons in a coupled quantum dot
    Institute of Applied Physics and Computational Mathematics, Beijing 100088, China
    [J]. Chin. Phys, 2006, 9 (2130-2141):
  • [24] Quantum control of two interacting electrons in a coupled quantum dot
    Song Hong-Zhou
    Zhang Ping
    Duan Su-Qing
    Zhao Xian-Geng
    [J]. CHINESE PHYSICS, 2006, 15 (09): : 2130 - 2141
  • [25] Quasi-exact solvability of Dirac equations
    He, Choon-Lin
    [J]. Differential Geometry and Physics, 2006, 10 : 232 - 240
  • [26] Quasi-exact solvability of the Pauli equation
    Ho, CL
    Roy, P
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (16): : 4617 - 4628
  • [27] QUASI-EXACT SOLUTION OF THE PROBLEM OF ACOUSTIC GAUSSIAN INTENSIVE NOISE SPECTRUM EVOLUTION
    DYBA, R
    ZOLTOGORSKI, B
    [J]. BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES TECHNIQUES, 1979, 27 (07): : 639 - 645
  • [28] Scaling at the chaos threshold for interacting electrons in a quantum dot
    Leyronas, X
    Silvestrov, PG
    Beenakker, CWJ
    [J]. PHYSICAL REVIEW LETTERS, 2000, 84 (15) : 3414 - 3417
  • [29] Localization of two interacting electrons in quantum dot array
    Zhe, J
    Duan, SQ
    Zhao, XG
    [J]. PHYSICS LETTERS A, 2005, 337 (03) : 241 - 246
  • [30] Two Interacting Electrons in a Vertically Coupled Quantum Dot
    XIE Wen-Fang WANG An-Mei School of Science
    [J]. Communications in Theoretical Physics, 2004, 41 (04) : 619 - 622