2011

Wave Equations in Higher Dimensions

Authors:

ISBN: 978-94-007-1916-3 (Print) 978-94-007-1917-0 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XXV

  2. Introduction

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-9

      Introduction

  3. Theory

    1. Front Matter

      Pages 11-11

    2. No Access

      Book Chapter

      Pages 13-38

      Special Orthogonal Group SO(N)

    3. No Access

      Book Chapter

      Pages 39-50

      Rotational Symmetry and Schrödinger Equation in D-Dimensional Space

    4. No Access

      Book Chapter

      Pages 51-59

      Dirac Equation in Higher Dimensions

    5. No Access

      Book Chapter

      Pages 61-64

      Klein-Gordon Equation in Higher Dimensions

  4. Applications in Non-relativistic Quantum Mechanics

    1. Front Matter

      Pages 65-65

    2. No Access

      Book Chapter

      Pages 67-79

      Harmonic Oscillator

    3. No Access

      Book Chapter

      Pages 81-96

      Coulomb Potential

    4. No Access

      Book Chapter

      Pages 97-108

      Wavefunction Ansatz Method

    5. No Access

      Book Chapter

      Pages 109-117

      The Levinson Theorem for Schrödinger Equation

    6. No Access

      Book Chapter

      Pages 119-128

      Generalized Hypervirial Theorem

    7. No Access

      Book Chapter

      Pages 129-148

      Exact and Proper Quantization Rules and Langer Modification

    8. No Access

      Book Chapter

      Pages 149-153

      Schrödinger Equation with Position-Dependent Mass

  5. Applications in Relativistic Quantum Mechanics

    1. Front Matter

      Pages 155-155

    2. No Access

      Book Chapter

      Pages 157-179

      Dirac Equation with the Coulomb Potential

    3. No Access

      Book Chapter

      Pages 181-202

      Klein-Gordon Equation with the Coulomb Potential

    4. No Access

      Book Chapter

      Pages 203-218

      The Levinson Theorem for Dirac Equation

    5. No Access

      Book Chapter

      Pages 219-224

      Generalized Hypervirial Theorem for Dirac Equation

    6. No Access

      Book Chapter

      Pages 225-234

      Kaluza-Klein Theory

  6. Conclusions and outlooks

    1. Front Matter

      Pages 235-235

    2. No Access

      Book Chapter

      Pages 237-237

      Conclusions and Outlooks

  7. Back Matter

    Pages 239-295