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
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