Wave Equations in Higher Dimensions, 2011
Auteur : Dong Shi-Hai
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.
Date de parution : 11-2014
Ouvrage de 295 p.
15.5x23.5 cm
Date de parution : 07-2011
Ouvrage de 295 p.
15.5x23.5 cm
Mots-clés :
High dimension quantum theory; Higher dimensional quantum theory; Kaluza-Klein theory high dimensions; Levinson theorem; Quantum theory relativity combine; hypervirial theorem high dimensions; quantum wave equation; quantum wave equation high dimension; quantum wave equation higher dimension; quantum wave equations