Non-perturbative Description of Quantum Sy...

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Beschreibung

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.

Zusammenfassung

Gives a detailed introduction and comprehensive description of non-perturbative operator method

Provides an extended review of other non-perturbative methods for description of quantum systems

Displays numerous applications of operator method for various problems of theoretical physics

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2015
Fachbereich:	Theoretische Physik
Genre:	Mathematik , Medizin , Naturwissenschaften , Physik , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xv 362 S. 20 s/w Illustr. 43 farbige Illustr. 362 p. 63 illus. 43 illus. in color.
ISBN-13:	9783319130057
ISBN-10:	3319130056
Sprache:	Englisch
Herstellernummer:	978-3-319-13005-7
Einband:	Kartoniert / Broschiert
Autor:	Feranchuk, Ilya Ulyanenkov, Alexander Le, Van-Hoang Ivanov, Alexey
Hersteller:	Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 21 mm
Von/Mit:	Ilya Feranchuk (u. a.)
Erscheinungsdatum:	09.01.2015
Gewicht:	0,575 kg