Mathematical methods in quantum mechanics
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.
9781470425630
Mathematics
Analysis
Schrödinger operator.
Quantum theory -- Mathematics.
Hamilton-Operator
Mathematische Methode
Quantentheorie
515.724 TES
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.
9781470425630
Mathematics
Analysis
Schrödinger operator.
Quantum theory -- Mathematics.
Hamilton-Operator
Mathematische Methode
Quantentheorie
515.724 TES
