Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schroedinger and Dirac Equations with Singular Potentials

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Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schroedinger and Dirac Equations with Singular Potentials - Gitman, Dmitry, and Tyutin, Igor, and Voronov, Boris
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This exposition is devoted to a consistent treatment of quantization problems, based on appealing to some nontrivial items of functional analysis concerning the theory of linear operators in Hilbert spaces. The authors begin by considering quantization problems in general, emphasizing the nontriviality of consistent operator construction by presenting paradoxes to the naive treatment. It then builds the necessary mathematical background following it by the theory of self-adjoint extensions. By considering several problems ...

Self-adjoint Extensions in Quantum Mechanics: General Theory and Applications to Schroedinger and Dirac Equations with Singular Potentials 2009, Birkhauser Boston Inc, Secaucus

ISBN-13: 9780817644000

2012 edition

Hardcover

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