TY - BOOK AU - Teschl, Gerald AU - : Teschl, Gerald TI - Mathematical methods in quantum mechanics : : with applications to Schrödinger operators T2 - Graduate studies in mathematics, v. 99 SN - 9781470425630 U1 - 515.724 TES PY - 2009/// CY - Providence, R.I. PB - : American Mathematical Society KW - Mathematics KW - Analysis KW - Schrödinger operator KW - Quantum theory -- Mathematics KW - Hamilton-Operator KW - Mathematische Methode KW - Quantentheorie N1 - 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 N2 - 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 ER -