01739nam a22002777a 4500 55790 55790 20191022122504.0 191022b ||||| |||| 00| 0 eng d 9781470425630 515.724 TES Teschl, Gerald Mathematical methods in quantum mechanics : with applications to Schrödinger operators / Gerald Teschl, Providence, R.I. : American Mathematical Society, ©2009. xiv, 305 pages : illustrations ; 27 cm. Graduate studies in mathematics, v. 99. 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. 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. Mathematics Analysis Schrödinger operator. Quantum theory -- Mathematics. Hamilton-Operator Mathematische Methode Quantentheorie : Teschl, Gerald MDL 0 0 ddc 0 0 MDL SNUL 2019-10-22 0 515.724 TES M048 2019-10-22 00:00:00 2019-10-22 MDL