Mathematical methods in quantum mechanics : with applications to Schrödinger operators / Gerald Teschl,

By:

Teschl, Gerald

Contributor(s):

: Teschl, Gerald

Material type: Text

9781470425630

Subject(s):

DDC classification:

515.724 TES

Contents:

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.

Summary: 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.

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Holdings
Item type	Current library	Call number	Status	Barcode
Mathematics Departmental Library	SNU LIBRARY	515.724 TES (Browse shelf(Opens below))	Available	M048

Total holds: 0

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.

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