Wave Equations in Higher Dimensions

1. Introduction
Shi-Hai Dong

2. Special Orthogonal Group SO(N)
Shi-Hai Dong

3. Rotational Symmetry and Schrödinger Equation in D-Dimensional Space
Shi-Hai Dong

4. Dirac Equation in Higher Dimensions
Shi-Hai Dong

5. Klein-Gordon Equation in Higher Dimensions
Shi-Hai Dong

6. Harmonic Oscillator
Shi-Hai Dong

7. Coulomb Potential
Shi-Hai Dong

8. Wavefunction Ansatz Method
Shi-Hai Dong

9. The Levinson Theorem for Schrödinger Equation
Shi-Hai Dong

10. Generalized Hypervirial Theorem
Shi-Hai Dong

11. Exact and Proper Quantization Rules and Langer Modification
Shi-Hai Dong

12. Schrödinger Equation with Position-Dependent Mass
Shi-Hai Dong

13. Dirac Equation with the Coulomb Potential
Shi-Hai Dong

14. Klein-Gordon Equation with the Coulomb Potential
Shi-Hai Dong

15. The Levinson Theorem for Dirac Equation
Shi-Hai Dong

16. Generalized Hypervirial Theorem for Dirac Equation
Shi-Hai Dong

17. Kaluza-Klein Theory
Shi-Hai Dong

18. Conclusions and Outlooks
Shi-Hai Dong

Avainsanat: Physics, Quantum Physics, Classical and Quantum Gravitation, Relativity Theory, Difference and Functional Equations