Published February 3, 2006
| Version v1
Journal article
Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential
- 1. Theoretical Physics Faculty, Physics Department of Tomsk State University, Lenin Avenue 36, Tomsk 634050 (Russian Federation)
- 2. Mathematical Physics Laboratory, Tomsk Polytechnic University, Lenin Avenue 30, Tomsk 634050 (Russian Federation)
Description
A countable set of asymptotic space-localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross-Pitaevskii equation with nonlocal nonlinearity and a quadratic potential. The asymptotic parameter is 1/T, where T >> 1 is the adiabatic evolution time. A generalization of the Berry phase of the linear Schroedinger equation is formulated for the Gross-Pitaevskii equation. For the solutions constructed, the Berry phases are found in explicit form
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/39/1191/a6_5_012.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/39/1191/a6_5_012.pdf;
- DOI
- 10.1088/0305-4470/39/5/012;
- PII
- S0305-4470(06)10416-3;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 39
- Journal Issue
- 5
- Journal Page Range
- p. 1191-1206
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37051442
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ADIABATIC APPROXIMATION; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; NONLINEAR PROBLEMS; POTENTIALS; SCHROEDINGER EQUATION
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; WAVE EQUATIONS