Hydrogen atom in the phase-space formulation of quantum mechanics
- 1 August 1984
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 30 (2) , 691-697
- https://doi.org/10.1103/physreva.30.691
Abstract
Using a coordinate transformation which regularizes the classical Kepler problem, we show that the hydrogen-atom case may be analytically solved via the phase-space formulation of nonrelativistic quantum mechanics. The problem is essentially reduced to that of a four-dimensional oscillator whose treatment in the phase-space formulation is developed. Furthermore, the method allows us to calculate the Green's function for the H atom in a surprisingly simple way.Keywords
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