Hydrogen atom in phase space: The Wigner representation

Abstract

We have found an effective method of calculating the Wigner function, being a quantum analogue of joint probability distribution of position and momentum, for bound states of nonrelativistic hydrogen atom. The formal similarity between the eigenfunctions of nonrelativistic hydrogen atom in the momentum representation and Klein-Gordon propagators has allowed the calculation of the Wigner function for an arbitrary bound state of the hydrogen atom. These Wigner functions for some low lying states are depicted and discussed.

8 pages (including figures)

References in corpus (3)

• Sub-Planck spots of Schroedinger cats and quantum decoherence
• Partially-Quenched Nucleon-Nucleon Scattering
• Hydrogen atom in phase space. The Kirkwood-Rihaczek representation

Cited by in corpus (4)

• Density functional theory on phase space
• Enhanced production of $\psi (2S)$ mesons in heavy ion collisions
• Angular Momentum Eigenstates of the Isotropic 3-D Harmonic Oscillator: Phase-Space Distributions and Coalescence Probabilities
• Semiclassical approximations of photoabsorption cross sections beyond the continuum threshold