TY - BOOK AU - Gallone,Franco TI - Hilbert space and quantum mechanics SN - 9789814635837 (hardcover : alk. paper) AV - QC174.17.H55 G35 2015 U1 - 515.733 G137H 23 PY - 2015/// CY - Singapore PB - World Scientific Publishing KW - Hilbert space KW - Quantum theory KW - Mathematics KW - Linear operators KW - Mathematical physics KW - Nonrelativistic quantum mechanics N1 - 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 ER -