Broken symmetry of the charged planar rotator in electric and magnetic fields
作者:
Mark P. Silverman,
期刊:
American Journal of Physics
(AIP Available online 1981)
卷期:
Volume 49,
issue 9
页码: 871-880
ISSN:0002-9505
年代: 1981
DOI:10.1119/1.12385
出版商: American Association of Physics Teachers
关键词: QUANTUM MECHANICS;ANALYTICAL SOLUTION;TWO−DIMENSIONAL CALCULATIONS;ENERGY SPECTRA;ELECTROMAGNETIC FIELDS;SYMMETRY
数据来源: AIP
摘要:
An exact solution to the problem of the Stark and Zeeman effects of the charged two‐dimensional rotator is given. The energy spectrum is shown to exhibit an unusual degeneracy‐breaking pattern. Group theory is used to account for the contrasting symmetry properties of the electric and magnetic field solutions. An examination of the physical properties of the system by means of perturbation theory leads to a clarification of an important point concerning the use of degenerate perturbation theory and the analytical continuity of perturbation wave functions.
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