# 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:

- 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}

}

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