Titlebook: Wave Equations in Higher Dimensions; Shi-Hai Dong Book 2011 Springer Science+Business Media B.V. 2011 High dimension quantum theory.Higher

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Schr?dinger Equation with Position-Dependent Masser, we first employ a point canonical transformation to study the .-dimensional position-dependent effective mass Schr?dinger equation and then carry out two typical examples such as the harmonic oscillator and Coulomb potential.

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Introductionif we never see them? It turns out that we do not really know yet how many dimensions our world has. Nevertheless, all that our current observations tell us is that the world around us is at least (3+1) dimensional space-time as illustrated in general relativity.

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Harmonic Oscillatorwindow into the most elementary structure of the physical world. In this Chapter, we shall study its exact solutions in arbitrary dimensions, the recurrence relations for the radial wavefunction, the realization of dynamic algebra su(1,1) and the pseudoharmonic oscillator.

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Harmonic Oscillatorwindow into the most elementary structure of the physical world. In this Chapter, we shall study its exact solutions in arbitrary dimensions, the recurrence relations for the radial wavefunction, the realization of dynamic algebra su(1,1) and the pseudoharmonic oscillator.

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The Levinson Theorem for Schr?dinger Equationchr?dinger equation with central potential, the Sturm-Liouville theorem, the establishment of the non-relativistic Levinson theorem, the discussions on the general case. Finally, we shall outline the comparison theorem.

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The Levinson Theorem for Schr?dinger Equationchr?dinger equation with central potential, the Sturm-Liouville theorem, the establishment of the non-relativistic Levinson theorem, the discussions on the general case. Finally, we shall outline the comparison theorem.

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elativistic quantum mechanics.Gives scientists a fresh outloHigher 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 boo

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Introductioned that many works along this line have been carried out in the usual three dimensional space. However, what extra dimensions could there possibly be if we never see them? It turns out that we do not really know yet how many dimensions our world has. Nevertheless, all that our current observations t

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Special Orthogonal Group SO(,)fined by orthogonal .×. matrices, we shall give a brief review of some basic properties of group O(.) based on the monographs and textbooks. We first outline the development in order to make the reader recognize its importance in physics and then review the tensor and spinor representations of the g