Green's Function of a Hartree-Type Equation with a Quadratic Potential |
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Authors: | Lisok A L Trifonov A Yu Shapovalov A V |
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Institution: | (1) Tomsk Polytechnical University, Tomsk, Russia;(2) Tomsk State University, Tomsk, Russia |
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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. |
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Keywords: | Maslov complex germ method Hartree-type equation symmetry operators |
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