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Classical systems in quantum mechanics

Bona, Pavel.

Classical systems in quantum mechanics

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Classical systems in quantum mechanicsby Pavel Bona.
作者:	Bona, Pavel.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	x, 234 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Quantum theory.
電子資源:	https://doi.org/10.1007/978-3-030-45070-0
ISBN:	9783030450700$q(electronic bk.)

Classical systems in quantum mechanics
Bona, Pavel.

Classical systems in quantum mechanics[electronic resource] /by Pavel Bona. - Cham :Springer International Publishing :2020. - x, 234 p. :ill., digital ;24 cm.

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".

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".

ISBN: 9783030450700$q(electronic bk.)

Standard No.: 10.1007/978-3-030-45070-0doiSubjects--Topical Terms:

199020
Quantum theory.

LC Class. No.: QC174.12 / .B338 2020

Dewey Class. No.: 530.12

Classical systems in quantum mechanics
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505 0 $a 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".
520 $a 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".
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