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- Title
Green's Function of a Hartree-Type Equation with a Quadratic Potential.
- Authors
Lisok, A. L.; Trifonov, A. Yu.; Shapovalov, A. V.
- Abstract
Using the complex WKB–Maslov method, we consider a solution of the Cauchy problem for a Hartree-type equation with a quadratic potential in the class of semiclassically supported functions. In this class, we obtain the evolution operator explicitly. We find parametric families of symmetry operators of the Hartree-type equation. Using the symmetry operators, we construct a family of exact solutions of this equation.
- Subjects
MASLOV index; CAUCHY problem; PARTIAL differential equations; EQUATIONS; EVOLUTION equations; SYMMETRY (Physics)
- Publication
Theoretical & Mathematical Physics, 2004, Vol 141, Issue 2, p1528
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1023/B:TAMP.0000046561.88206.f9