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Classical Systems in Quantum Mechanics

  • Pavel Bóna
Book
  • 904 Downloads

Table of contents

  1. Front Matter
    Pages i-x
  2. Pavel Bóna
    Pages 1-20
  3. Pavel Bóna
    Pages 35-48
  4. Pavel Bóna
    Pages 75-112
  5. Pavel Bóna
    Pages 167-213
  6. Back Matter
    Pages 215-234

About this book

Introduction

This book investigates two possibilities for describing classical-mechanical physical systems along with their Hamiltonian dynamics in the framework of quantum mechanics.The first possibility consists in exploiting the geometrical properties of the set of quantum pure states of "microsystems"  and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number of interacting subsystems – i.e. macrosystems, so as to study the quantum mechanics of  an infinite number of degrees of freedom and to look for the behaviour  of their collective variables. The final chapter contains some solvable models of “quantum measurement" describing dynamical transitions from "microsystems" to "macrosystems".


Keywords

Transition from quantum to classical Symplectic geometry on P(H) Macroscopic systems in quantum mechanics C*- and W*-algebras and their representations Disjointness of states Infinite direct product Duals of Banach spaces Quantum theory of measurement

Authors and affiliations

  • Pavel Bóna
    • 1
  1. 1.Department of Theoretical PhysicsComenius UniversityBratislavaSlovakia

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