Published September 7, 2007
| Version v1
Journal article
Berry phases for 3D Hartree-type equations with a quadratic potential and a uniform magnetic field
Creators
- 1. Laboratory of Mathematical Physics, Mathematical Physics Department, Tomsk Polytechnic University, 30 Lenin ave, Tomsk 634050 (Russian Federation)
Description
A countable set of asymptotic space-localized solutions is constructed for a 3D Hartree-type equation with a quadratic potential by the complex germ method in the adiabatic approximation. 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 Hartree-type equation. For the solutions constructed, the Berry phases are found in an explicit form
Additional details
Identifiers
- DOI
- 10.1088/1751-8113/40/36/013;
- PII
- S1751-8113(07)35973-8;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 40
- Journal Issue
- 36
- Journal Page Range
- p. 11129-11149
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39012733
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ADIABATIC APPROXIMATION; MAGNETIC FIELDS; MATHEMATICAL EVOLUTION; MATHEMATICAL SOLUTIONS; POTENTIALS; SCHROEDINGER EQUATION
- Descriptors DEC
- APPROXIMATIONS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; EVOLUTION; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS