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Mathematical Foundation of Quantum Mechanics

	Mathematical Foundation Of Quantum Mechanics by K R Parthasarathy
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This book is based on a course of lectures given to PhD students at the Delhi Centre of the Indian Statistical Institute during the years 1980-1985. The approach is inspired by the lectures of G.W.Mackey and V.S.Varadarajan and brings out the role of group representations as the main thread passing through some major results like Gleason`s theorem on the characterization of quantum states, Wigner`s unitarity-antiunitarity theorem on the automorphisms of the lattice of orthogonal projections in a Hilbert space, Mackey`s imprimitivity theorem for quantum systems with a configuration observable, and the rise of important and physically meaningful observables through the infinitesimal generators of projective unitary representations of the Galilean and the inhomogeneous Lorentz groups.

Contents: Chapter 1. PROBABILITY THEORY ON THE LATTICE OF PROJECTIONS IN A HILBERT SPACE Chapter 2. SYSTEMS WITH A CONFIGURATION UNDER A GROUP ACTION Chapter 3. MULTIPLIERS ON LOCALLY COMPACT GROUPS Chapter 4. THE BASIC OBSERVABLES OF A QUANTUM MECHANICAL SYSTEM. Bibliography
ISBN - 8185931593

Pages : 184

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Mathematical Foundation Of Quantum Mechanics

by K R Parthasarathy