Wave Equations in Higher Dimensions

Authors: Dong, Shi-Hai

  • Unique compendium of the current state of research on quantum wave equations in higher dimensions in the framework of non-relativistic and relativistic quantum mechanics
  • Gives scientists a fresh outlook on quantum systems in all branches of physics
  • Contains an extensive bibliographic list of all widely scattered publications in this field
see more benefits

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-94-007-1917-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-94-007-1916-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-94-017-8230-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

Higher dimensional theories have attracted much attention because they make it possible to reduce much of physics in a concise, elegant fashion that unifies the two great theories of the 20th century: Quantum Theory and Relativity. This book provides an elementary description of quantum wave equations in higher dimensions at an advanced level so as to put all current mathematical and physical concepts and techniques at the reader’s disposal. A comprehensive description of quantum wave equations in higher dimensions and their broad range of applications in quantum mechanics is provided, which complements the traditional coverage found in the existing quantum mechanics textbooks and gives scientists a fresh outlook on quantum systems in all branches of physics.
In Parts I and II the basic properties of the SO(n) group are reviewed and basic theories and techniques related to wave equations in higher dimensions are introduced. Parts III and IV cover important quantum systems in the framework of non-relativistic and relativistic quantum mechanics in terms of the theories presented in Part II. In particular, the Levinson theorem and the generalized hypervirial theorem in higher dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein theory in higher dimensions are investigated. In this context, the dependence of the energy levels on the dimension is shown. Finally, Part V contains conclusions, outlooks and an extensive bibliography.

Table of contents (18 chapters)

  • Introduction

    Dong, Shi-Hai

    Pages 3-9

  • Special Orthogonal Group SO(N)

    Dong, Shi-Hai

    Pages 13-38

  • Rotational Symmetry and Schrödinger Equation in D-Dimensional Space

    Dong, Shi-Hai

    Pages 39-50

  • Dirac Equation in Higher Dimensions

    Dong, Shi-Hai

    Pages 51-59

  • Klein-Gordon Equation in Higher Dimensions

    Dong, Shi-Hai

    Pages 61-64

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-94-007-1917-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-94-007-1916-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-94-017-8230-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Wave Equations in Higher Dimensions
Authors
Copyright
2011
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-94-007-1917-0
DOI
10.1007/978-94-007-1917-0
Hardcover ISBN
978-94-007-1916-3
Softcover ISBN
978-94-017-8230-2
Edition Number
1
Number of Pages
XXV, 295
Topics