Hydrogen atom in phase space. The Kirkwood-Rihaczek representation

Details Hydrogen atom in phase space. The Kirkwood-Rihaczek representation Hydrogen atom in phase space. The Kirkwood-Rihaczek representation

2002-12-23

arxiv.org/abs/quant-ph/0212132v1

Phys. Rev. A 67, 054502, (2003)

Physics

Quantum Physics

5 pages (and 5 figures)

Scientific paper

10.1103/PhysRevA.67.054502

We present a phase-space representation of the hydrogen atom using the Kirkwood-Rikaczek distribution function. This distribution allows us to obtain analytical results, which is quite unique because an exact analytical form of the Wigner functions corresponding to the atom states is not known. We show how the Kirkwood-Rihaczek distribution reflects properties of the hydrogen atom wave functions in position and momentum representations.

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