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- Title
The Geometric Phases and Quasienergy Spectral Series of a Hartree-Type Equation with a Quadratic Potential.
- Authors
Lisok, A. L.; Litvinets, F. N.; Trifonov, A. Yu.; Shapovalov, A. V.
- Abstract
Based on the ideology of the complex WKB–Maslov method, the general construction of quasiclassically concentrated solutions is given for Hartree-type equations with a quadratic potential and periodic coefficients. Exact expressions are constructed for the quasienergies and associated quasienergy states. In the construction of solutions, an important role is played by the Hamilton–Ehrenfest system of equations obtained in this work. Explicit expressions are found for the geometric phase of Aharonov–Anandan quasienergy states.
- Subjects
MASLOV index; VECTOR spaces; HARTREE-Fock approximation; SCHRODINGER equation; WAVE mechanics; PARTICLES (Nuclear physics)
- Publication
Russian Physics Journal, 2004, Vol 47, Issue 4, p405
- ISSN
1064-8887
- Publication type
Article
- DOI
10.1023/B:RUPJ.0000042769.08608.e3