000 01739nam a22002777a 4500
999 _c55790
_d55790
005 20191022122504.0
008 191022b ||||| |||| 00| 0 eng d
020 _a9781470425630
082 _a515.724 TES
100 _aTeschl, Gerald
245 _aMathematical methods in quantum mechanics
_b: with applications to Schrödinger operators
_c/ Gerald Teschl,
260 _aProvidence, R.I.
_b : American Mathematical Society,
_c ©2009.
300 _axiv, 305 pages
_b: illustrations
_c ; 27 cm.
490 _aGraduate studies in mathematics, v. 99.
505 _aA 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.
520 _aOffers 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.
650 _aMathematics
650 _a Analysis
650 _aSchrödinger operator.
650 _aQuantum theory -- Mathematics.
650 _aHamilton-Operator
650 _aMathematische Methode
650 _aQuantentheorie
700 _a: Teschl, Gerald
942 _cMDL