: with applications to Schrödinger operators Teschl, Gerald creator : Teschl, Gerald text Providence, R.I : American Mathematical Society ©2009 monographic eng

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xiv, 305 pages : illustrations ; 27 cm. Offers an introduction to the mathematical methods of quantum mechanics, with a view towards applications to Schrodinger operators. This book includes topics such as the nondegeneracy of the ground state, spectra of atoms, and scattering theory. It is suited for self-study and includes exercises. A first look at Banach and Hilbert spaces -- Mathematical foundations of quantum mechanics -- Hilbert spaces -- Self-adjointness and spectrum -- The spectral theorem -- Application of the spectral theorem -- Quantum dynamics -- Perturbation theory for self-adjoint operators -- Schrödinger operators -- The free Schrödinger operator -- Algebraic methods -- One-dimensional Schrödinger operators -- One-particle Schrödinger operators -- Atomic Schrödinger operators -- Scattering theory -- Appendix A : Almost everything about Lebesgue integration. / Gerald Teschl, Mathematics Analysis Schrödinger operator Quantum theory -- Mathematics Hamilton-Operator Mathematische Methode Quantentheorie 515.724 TES 9781470425630 191022 20191022122504.0