Validity of the shape-independent approximation for Bose-Einstein condensates
- 1 August 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 60 (2) , 1451-1462
- https://doi.org/10.1103/physreva.60.1451
Abstract
The validity of the shape-independent approximation is studied for three trapped atoms. By comparing the total ground-state energy calculated using pseudopotentials in the Hartree-Fock approximation to the exact ground-state energy, the shape-independent approximation is shown to agree quantitatively only in the low-density limit. It is also shown using configuration interaction that a Dirac function is not suitable as a replacement for the two-body interaction in exact theories.
Keywords
This publication has 25 references indexed in Scilit:
- Microscopic treatment of binary interactions in the nonequilibrium dynamics of partially Bose-condensed trapped gasesPhysical Review A, 1998
- Hyperspherical coordinate approach to atomic and other Coulombic three-body systemsPhysics Reports, 1995
- Hyperspherical approach to Coulombic three-body systems with different massesJournal of Physics B: Atomic, Molecular and Optical Physics, 1993
- Hyperspherical HarmonicsPublished by Springer Nature ,1989
- On the theory of collisions of atoms in rydberg states with neutral particlesJournal de Physique, 1977
- Properties of autoionizing states of HeJournal of Physics B: Atomic and Molecular Physics, 1968
- Statistical MechanicsPhysics Today, 1965
- Quantum-Mechanical Many-Body Problem with Hard-Sphere InteractionPhysical Review B, 1957
- Interaction of the van der Waals Type Between Three AtomsThe Journal of Chemical Physics, 1943
- Sopra lo Spostamento per Pressione delle Righe Elevate delle Serie SpettraliIl Nuovo Cimento (1869-1876), 1934