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Title: Asymptotic formula for the condensate wave function of a trapped Bose gas

Abstract

An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas. Specifically, the constant multiplying the Airy function of the solution asymptotically outside the trap is {radical}(2). Accordingly, the Wentzel-Kramers-Brillouin approximation is determined in the case of a spherically symmetric harmonic potential. This calculation is related to Josephson-type currents flowing between well-separated traps. (c) 2000 The American Physical Society.

Authors:
 [1]
  1. Gordon McKay Laboratory, Harvard University, Cambridge, Massachusetts 02138-2901 (United States)
Publication Date:
OSTI Identifier:
20216410
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 61; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; BOSE-EINSTEIN GAS; WKB APPROXIMATION; ASYMPTOTIC SOLUTIONS; WAVE FUNCTIONS; RADIATION PRESSURE; KINETIC ENERGY; TRAPS; STATISTICAL MECHANICS; QUANTUM MECHANICS; THEORETICAL DATA

Citation Formats

Margetis, Dionisios. Asymptotic formula for the condensate wave function of a trapped Bose gas. United States: N. p., 2000. Web. doi:10.1103/PhysRevA.61.055601.
Margetis, Dionisios. Asymptotic formula for the condensate wave function of a trapped Bose gas. United States. doi:10.1103/PhysRevA.61.055601.
Margetis, Dionisios. Mon . "Asymptotic formula for the condensate wave function of a trapped Bose gas". United States. doi:10.1103/PhysRevA.61.055601.
@article{osti_20216410,
title = {Asymptotic formula for the condensate wave function of a trapped Bose gas},
author = {Margetis, Dionisios},
abstractNote = {An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas. Specifically, the constant multiplying the Airy function of the solution asymptotically outside the trap is {radical}(2). Accordingly, the Wentzel-Kramers-Brillouin approximation is determined in the case of a spherically symmetric harmonic potential. This calculation is related to Josephson-type currents flowing between well-separated traps. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevA.61.055601},
journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 61,
place = {United States},
year = {2000},
month = {5}
}