Physics of the soq(4) hydrogen atom

被引:3
|
作者
Castro, P. G. [1 ]
Kullock, R. [2 ]
机构
[1] Escola Naval, Rio De Janeiro, Brazil
[2] Ctr Brasilero Pesquisas Fis, Rio De Janeiro, Brazil
关键词
hydrogen atom; quantum group; dynamical symmetry; DEFORMED SCHRODINGER-EQUATION; HARMONIC-OSCILLATOR; Q-ANALOG; FIELD-THEORY; SPECTRUM; DEFORMATION;
D O I
10.1007/s11232-015-0372-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate a q-deformation of the so(4) dynamical symmetry of the hydrogen atom using the theory of the quantum group su(q) (2). We derive the energy spectrum in a physically consistent manner and find a degeneracy breaking and also a smaller Hilbert space. We note that using the deformed Casimir as was previously done leads to inconsistencies in the physical interpretation of the theory.
引用
收藏
页码:1678 / 1684
页数:7
相关论文
共 50 条
  • [31] THE HYDROGEN-ATOM IN THE HYDROGEN MOLECULE
    ADAMS, WH
    CLAYTON, MM
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1985, : 333 - 348
  • [32] Reactions of hydrogen atom with hydrogen peroxide
    Ellingson, Benjamin A.
    Theis, Daniel P.
    Tishchenko, Oksana
    Zheng, Jingjing
    Truhlar, Donald G.
    JOURNAL OF PHYSICAL CHEMISTRY A, 2007, 111 (51): : 13554 - 13566
  • [33] THE HYDROGEN-ATOM AND THE 4-DIMENSIONAL HARMONIC-OSCILLATOR
    CORNISH, FHJ
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (02): : 323 - 327
  • [34] FACTORIZATION OF DIFFERENTIAL EQUATIONS AND O4 SYMMETRY FOR HYDROGEN ATOM
    ZAMBOTTI, G
    NUOVO CIMENTO, 1967, 5 (03): : 954 - +
  • [35] Hydrogen-atom positions in P4/nnc vesuvianite
    Lager, GA
    Xie, QY
    Ross, FK
    Rossman, GR
    Armbruster, T
    Rotella, FJ
    Schultz, AJ
    CANADIAN MINERALOGIST, 1999, 37 : 763 - 768
  • [36] GENERATORS OF O (4,1) FOR QUANTUM - MECHANICAL HYDROGEN ATOM
    MUSTO, R
    PHYSICAL REVIEW, 1966, 148 (04): : 1274 - &
  • [37] CONNECTION BETWEEN THE HYDROGEN-ATOM AND THE 4-DIMENSIONAL OSCILLATOR
    CHEN, AC
    KIBLER, M
    PHYSICAL REVIEW A, 1985, 31 (06): : 3960 - 3963
  • [38] A HYDROGEN-ATOM IN A UNIFORM ELECTRIC-FIELD .4.
    DAMBURG, RJ
    KOLOSOV, VV
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 1981, 14 (05) : 829 - 834
  • [39] REACTIONS OF HYDROGEN ATOM IN SOLUTION .4. PHOTOLYSIS OF DEUTERATED THIOLS
    PRYOR, WA
    STANLEY, JP
    JOURNAL OF THE AMERICAN CHEMICAL SOCIETY, 1971, 93 (06) : 1412 - &
  • [40] INSIDE THE HYDROGEN ATOM
    Nowakowski, M.
    Kelkar, N. G.
    Bedoya Fierro, D.
    Bermudez Manjarres, A. D.
    ACTA PHYSICA POLONICA B, 2016, 47 (02): : 293 - 298