ENGLISH

Non-perturbative Description of Quantum Systems

By Ilya Feranchuk , Alexander Ulyanenkov (auth.) , Alexey Ivanov , Van-Hoang Le

Book information

Publisher
Springer International Publishing
Year
2015
ISBN
978-3-319-13005-7, 978-3-319-13006-4
DOI
10.1007/978-3-319-13006-4
Language
english
Format
PDF
Filesize
6 MB (6234595 bytes)
Series
Lecture Notes in Physics 894
Edition
1
Pages
362\374
Time added
2015-02-17 02:00:00
Quantum Physics; Mathematical Methods in Physics;

Description

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.

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