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Feranchuk I., Ivanov A., Le V.-H., Ulyanenkov A. Non-perturbative Description of Quantum Systems

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Feranchuk I., Ivanov A., Le V.-H., Ulyanenkov A. Non-perturbative Description of Quantum Systems
Springer International Publishing Switzerland, 2015. — 374 pp. — ISBN: 978-3-319-13005-7 (Print) 978-3-319-13006-4 (Online).
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.
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
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
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