Hilbert space and quantum mechanics
Gallone, Franco.
Hilbert space and quantum mechanics Franco Gallone, Università degli Studi di Milano, Italy. - Singapore: World Scientific Publishing, 2015. - xiv, 746 pages : illustrations ; 26 cm
Includes bibliographical references (pages 739-740) and index.
Sets, mappings, groups -- Metric spaces -- Linear operators in linear spaces -- Linear operators in normed spaces -- The extended real line -- Measurable sets and measurable functions -- Measures -- Integration -- Lebesgue measure -- Hilbert spaces -- L² Hilbert spaces -- Adjoint operators -- Orthogonal projections and projection valued measures -- Integration with respect to a projection valued measure -- Spectral theorems -- One-parameter unitary groups and Stone's theorem -- Commuting operators and reducing subspaces -- Trace class and statistical operators -- Quantum mechanics in Hilbert space -- Position and momentum in non-relativistic quantum mechanics.
9789814635837 (hardcover : alk. paper) 9814635839 (hardcover : alk. paper)
2014040049
Hilbert space.
Quantum theory--Mathematics.
Linear operators.
Mathematical physics.
Nonrelativistic quantum mechanics.
QC174.17.H55 / G35 2015
515.733 G137H
Hilbert space and quantum mechanics Franco Gallone, Università degli Studi di Milano, Italy. - Singapore: World Scientific Publishing, 2015. - xiv, 746 pages : illustrations ; 26 cm
Includes bibliographical references (pages 739-740) and index.
Sets, mappings, groups -- Metric spaces -- Linear operators in linear spaces -- Linear operators in normed spaces -- The extended real line -- Measurable sets and measurable functions -- Measures -- Integration -- Lebesgue measure -- Hilbert spaces -- L² Hilbert spaces -- Adjoint operators -- Orthogonal projections and projection valued measures -- Integration with respect to a projection valued measure -- Spectral theorems -- One-parameter unitary groups and Stone's theorem -- Commuting operators and reducing subspaces -- Trace class and statistical operators -- Quantum mechanics in Hilbert space -- Position and momentum in non-relativistic quantum mechanics.
9789814635837 (hardcover : alk. paper) 9814635839 (hardcover : alk. paper)
2014040049
Hilbert space.
Quantum theory--Mathematics.
Linear operators.
Mathematical physics.
Nonrelativistic quantum mechanics.
QC174.17.H55 / G35 2015
515.733 G137H