Phase space distribution of an N-dimensional harmonic oscillator Academic Article uri icon


  • We derive analytic expressions for the Wigner transform (WT) of the one-body density matrix of a system of independent fermions in an N-dimensional harmonic oscillator (HO) potential. Considerable simplification is obtained for closed-shell configurations (all degenerate states occupied), when the Wigner transform (WT) depends only on the energy. Illustrative examples for one- and three-dimensional cases are discussed. © 1981.

author list (cited authors)

  • Shlomo, S., & Prakash, M.

citation count

  • 27

publication date

  • March 1981