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Lecture notes on Schrödinger equations

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Author(s): A A Pankov
Series: Contemporary mathematical studies
Publisher: Nova Science Publishers
Year: 2007

Language: English
Pages: x, 187 p. ; 27 cm
City: New York
Tags: Математика;Линейная алгебра и аналитическая геометрия;Линейная алгебра;Матрицы и определители;


Content: A bit of quantum mechanics --
Operators in Hilbert spaces --
Spectral theorem for self-adjoint operators --
Compact operators and the Hilbert-Schmidt theorem --Elements of perturbation theory --
Variational principles --
One-dimensional Schrodinger operator --
Multidimensional Schrodinger operator --
Periodic Schrodinger operators --
Quantum graphs --
Nonlinear Schrodinger equation.