Download Wave Equations in Higher Dimensions by Shi-Hai Dong PDF

By Shi-Hai Dong

greater dimensional theories have attracted a lot cognizance simply because they give the opportunity to lessen a lot of physics in a concise, based style that unifies the 2 nice theories of the twentieth century: Quantum concept and Relativity. This ebook presents an straight forward description of quantum wave equations in larger dimensions at a complicated point in order to placed all present mathematical and actual strategies and strategies on the reader’s disposal. A finished description of quantum wave equations in better dimensions and their extensive variety of functions in quantum mechanics is equipped, which enhances the normal assurance present in the prevailing quantum mechanics textbooks and offers scientists a clean outlook on quantum platforms in all branches of physics.
In components I and II the elemental homes of the SO(n) crew are reviewed and uncomplicated theories and methods regarding wave equations in greater dimensions are brought. components III and IV hide very important quantum structures within the framework of non-relativistic and relativistic quantum mechanics when it comes to the theories provided partly II. particularly, the Levinson theorem and the generalized hypervirial theorem in larger dimensions, the Schrödinger equation with position-dependent mass and the Kaluza-Klein thought in greater dimensions are investigated. during this context, the dependence of the power degrees at the measurement is proven. ultimately, half V includes conclusions, outlooks and an in depth bibliography.

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