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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, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov.
Author:	Feranchuk, Ilya.
other author:	Ivanov, Alexey.
Description:	XV, 362 p. 63 illus., 43 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Quantum Physics. -
Online resource:	https://doi.org/10.1007/978-3-319-13006-4
ISBN:	9783319130064

Non-perturbative Description of Quantum Systems
Feranchuk, Ilya.

Non-perturbative Description of Quantum Systems[electronic resource] /by Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov. - 1st ed. 2015. - XV, 362 p. 63 illus., 43 illus. in color.online resource. - Lecture Notes in Physics,8940075-8450 ;. - Lecture Notes in Physics,891.

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 Schrödinger 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

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

671960
Quantum Physics.

LC Class. No.: QC173.96-174.52

Dewey Class. No.: 530.12

Non-perturbative Description of Quantum Systems
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