COHERENT STATES OF HYDROGEN ATOM | Zendy

XU BO-WEI | Zendy; Zhi-Yuan Qi | Zendy

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COHERENT STATES OF HYDROGEN ATOM

Author(s) -

XU BO-WEI,

Zhi-Yuan Qi

Publication year - 1991

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.40.1212

Subject(s) - physics , harmonic oscillator , coherent states , hydrogen atom , kepler problem , isotropy , quantum mechanics , classical mechanics , transformation (genetics) , position (finance) , momentum (technical analysis) , quantum , group (periodic table) , biochemistry , chemistry , finance , economics , gene

From Kustannheimo-Stiefel transformation, the hygrogen problem in quantum mechanics can be transformed to that of a four dimensional isotropic harmonic oscillator with constrain. The coherent states are defined, for which the expectation values of the position and the momentum are shown to give the classical Kepler orbits. The uncertainty relations for the coherent states are discussed as well.

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