Roccia, Jerome and Brack, Matthias (2008) Closed-orbit theory of spatial density oscillations in finite fermion systems. PHYSICAL REVIEW LETTERS, 100 (20): 200408. ISSN 0031-9007,
Full text not available from this repository.Abstract
We investigate the particle and kinetic-energy densities for N noninteracting fermions confined in a local potential. Using Gutzwiller's semiclassical Green function, we describe the oscillating parts of the densities in terms of closed nonperiodic classical orbits. We derive universal relations between the oscillating parts of the densities for potentials with spherical symmetry in arbitrary dimensions and a "local virial theorem" valid also for arbitrary nonintegrable potentials. We give simple analytical formulas for the density oscillations in a one-dimensional potential.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | MECHANICS; GAS; |
| Subjects: | 500 Science > 530 Physics |
| Divisions: | Physics > Institute of Theroretical Physics > Alumni or Retired Professors > Group Matthias Brack |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Nov 2020 05:43 |
| Last Modified: | 03 Nov 2020 05:43 |
| URI: | https://pred.uni-regensburg.de/id/eprint/30886 |
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