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Non-perturbative description of quantum systems

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Non-perturbative description of quantum systems/ by Ilya Feranchuk ... [et al.].
other author:	Feranchuk, Ilya.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xv, 362 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Schrodinger equation. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-13006-4
ISBN:	9783319130064 (electronic bk.)

Non-perturbative description of quantum systems
Non-perturbative description of quantum systems[electronic resource] /by Ilya Feranchuk ... [et al.]. - Cham :Springer International Publishing :2015. - xv, 362 p. :ill. (some col.), digital ;24 cm. - Lecture notes in physics,v.8940075-8450 ;. - Lecture notes in physics ;777 .

Capabilities of approximate methods in quantum theory -- Basics of the operator method -- Applications of OM for one-dimensional systems -- Operator method for quantum statistics -- Quantum systems with several degrees of freedom -- Two-dimensional exciton in magnetic field with arbitrary strength -- Atoms in the external electromagnetic fields -- Many-electron atoms -- Systems with infinite number of degrees of freedom.

This book introduces systematically the operator method for the solution of the Schrodinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory. In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.

ISBN: 9783319130064 (electronic bk.)

Standard No.: 10.1007/978-3-319-13006-4doiSubjects--Topical Terms:

796710
Schrodinger equation.

LC Class. No.: QC174.26.W28

Dewey Class. No.: 530.124

Non-perturbative description of quantum systems
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245 0 0 $a Non-perturbative description of quantum systems $h [electronic resource] / $c by Ilya Feranchuk ... [et al.].
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300 $a xv, 362 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in physics, $x 0075-8450 ; $v v.894
505 0 $a Capabilities of approximate methods in quantum theory -- Basics of the operator method -- Applications of OM for one-dimensional systems -- Operator method for quantum statistics -- Quantum systems with several degrees of freedom -- Two-dimensional exciton in magnetic field with arbitrary strength -- Atoms in the external electromagnetic fields -- Many-electron atoms -- Systems with infinite number of degrees of freedom.
520 $a This book introduces systematically the operator method for the solution of the Schrodinger equation. This method permits to describe the states of quantum systems in the entire range of parameters of Hamiltonian with a predefined accuracy. The operator method is unique compared with other non-perturbative methods due to its ability to deliver in zeroth approximation the uniformly suitable estimate for both ground and excited states of quantum system. The method has been generalized for the application to quantum statistics and quantum field theory. In this book, the numerous applications of operator method for various physical systems are demonstrated. Simple models are used to illustrate the basic principles of the method which are further used for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.
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