Non-perturbative Description of Quantum Systems
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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.
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 Includes supplementary material: sn.pub/extras
Autor*in
Ilya Feranchuk
Themen in »Non-perturbative Description of Quantum Systems«
Anharmonic Oscillator Atoms in a Strong External Field Coupled Anharmonic Oscillators Multi-electron Atoms Non-perturbative Methods Quantum Statistics Two-dimensional Exciton in a Magnetic Field Uniformly Suitable Approximations