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Non-perturbative Description of Quantum Systems

  • Ilya Feranchuk
  • Alexey Ivanov
  • Van-Hoang Le
  • Alexander Ulyanenkov

Part of the Lecture Notes in Physics book series (LNP, volume 894)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 1-25
  3. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 27-80
  4. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 81-128
  5. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 129-185
  6. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 187-214
  7. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 215-249
  8. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 251-286
  9. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 287-329
  10. Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 331-358
  11. Back Matter
    Pages 359-362

About this book

Introduction

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.

Keywords

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

Authors and affiliations

  • Ilya Feranchuk
    • 1
  • Alexey Ivanov
    • 2
  • Van-Hoang Le
    • 3
  • Alexander Ulyanenkov
    • 4
  1. 1.Physics DepartmentBelarusian State UniversityMinskBelarus
  2. 2.Physics DepartmentBelarusian National Technical UniversityMinskBelarus
  3. 3.Department of PhysicsHo Chi Minh City University of PedagogyHo Chi Minh CityVietnam
  4. 4.KarlsruheGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-13006-4
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-13005-7
  • Online ISBN 978-3-319-13006-4
  • Series Print ISSN 0075-8450
  • Series Online ISSN 1616-6361
  • Buy this book on publisher's site
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