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Semiclassical Expansions for Confined NN Fermion Systems

Mar 26, 1990
62 pages
Published in:
  • Annals Phys. 200 (1990) 304
DOI:
Report number:
  • IPNO-TH-89-07
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Abstract: (Elsevier)
A new derivation of the Wigner-Kirkwood expansion for N -fermion systems is presented, showing explicitly the connection to the WKB approximation for a single level. This allows us to study separately the two ansatzes required to obtain the semiclassical expansions: the asymptotic expansions in powers of h ̷ and the smoothing of quantal effects. We discuss the one dimensional and three dimensional, with spherical symmetry, cases. Applications for standard potentials used in nuclear physics are described in detail.