Skip to main content
SpringerLink
Log in
Book cover
  • Book
  • © 2015

Non-perturbative Description of Quantum Systems

Authors:

  1. Ilya Feranchuk

    1. Physics Department, Belarusian State University, Minsk, Belarus

    View author publications

    You can also search for this author in PubMed   Google Scholar

  2. Alexey Ivanov

    1. Physics Department, Belarusian National Technical University, Minsk, Belarus

    View author publications

    You can also search for this author in PubMed   Google Scholar

  3. Van-Hoang Le

    1. Department of Physics, Ho Chi Minh City University of Pedagogy, Ho Chi Minh City, Vietnam

    View author publications

    You can also search for this author in PubMed   Google Scholar

  4. Alexander Ulyanenkov

    1. Karlsruhe, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • 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

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

Sections

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (9 chapters)

  1. Front Matter

    Pages i-xv
    PDF

  2. Capabilities of Approximate Methods in Quantum Theory

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 1-25

  3. Basics of the Operator Method

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 27-80

  4. Applications of OM for One-Dimensional Systems

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 81-128

  5. Operator Method for Quantum Statistics

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 129-185

  6. Quantum Systems with Several Degrees of Freedom

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 187-214

  7. Two-Dimensional Exciton in Magnetic Field with Arbitrary Strength

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 215-249

  8. Atoms in the External Electromagnetic Fields

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 251-286

  9. Many-Electron Atoms

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 287-329

  10. Systems with Infinite Number of Degrees of Freedom

    • Ilya Feranchuk, Alexey Ivanov, Van-Hoang Le, Alexander Ulyanenkov
    Pages 331-358

  11. Back Matter

    Pages 359-362
    PDF
Back to top

About this book

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.
Back to top

Keywords

Back to top

Authors and Affiliations

  • Physics Department, Belarusian State University, Minsk, Belarus

    Ilya Feranchuk

  • Physics Department, Belarusian National Technical University, Minsk, Belarus

    Alexey Ivanov

  • Department of Physics, Ho Chi Minh City University of Pedagogy, Ho Chi Minh City, Vietnam

    Van-Hoang Le

  • Karlsruhe, Germany

    Alexander Ulyanenkov

Back to top

Bibliographic Information

Back to top

Publish with us

Policies and ethics

Back to top
Access via your institution

Buy it now

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Search

Navigation