Classical Systems in Quantum Mechanics / by Pavel Bóna.

Format:

Book

Author/Creator:

Bóna, Pavel, author.

Contributor:

SpringerLink (Online service)

Series:

Physics and Astronomy (SpringerNature-11651)

Language:

English

Subjects (All):

Quantum theory.

Mechanics.

Mathematical physics.

Quantum Physics.

Classical Mechanics.

Mathematical Applications in the Physical Sciences.

Local Subjects:

Quantum Physics.

Classical Mechanics.

Mathematical Applications in the Physical Sciences.

Physical Description:

1 online resource (X, 234 pages) : 6 illustrations

Edition:

First edition 2020.

Contained In:

Springer Nature eBook

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2020.

System Details:

text file PDF

Summary:

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".

Contents:

Introduction

Geometry of the state space of quantum mechanics

Classical projections of quantum mechanics

Examples of classical projections

Macroscopic limits

Mathematical structure of QM mean-fi eld theories

Some models of "quantum measurement".

Other Format:

Printed edition:

ISBN:

978-3-030-45070-0

9783030450700

Access Restriction:

Restricted for use by site license.