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An Initial Understanding on Spin-Weighted Spheroidal Wave Equation

Author: TangWenLin
Tutor: TianGuiHua
School: Beijing University of Posts and Telecommunications
Course: Theoretical Physics
Keywords: With the right to ellipsoidal wave equation Wave equation of the ellipsoid Supersymmetric quantum mechanics
CLC: O413.1
Type: Master's thesis
Year: 2010
Downloads: 15
Quote: 0
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Abstract


Kerr black hole in the theory of relativity determine the final fate of a large rotation of the planet , and thus its stability is important in astrophysics . The Teukolsky equations describe the Kerr black hole , that is, a steady-state rotating black hole , in the presence or absence of the linear stability of the linear perturbation by a perturbation field . Teukolsky equation can be obtained by the method of separation of variables two Sturm-Liouville problem , they are called radial and angular , the latter of which is also known as the right to band the ellipsoid equation [1,4] , ; θ ∈ (0, π), (0.0.2) and bounded solution at the endpoints of the interval ( 0 , pi ) . This thesis is to use the ellipsoid method of supersymmetric quantum mechanics to study with the right wave equation in the small c eigenvalues ??and characteristic function includes two aspects . The first part is to solve the zero - spin with the right ellipsoid equation , that the wave equation of the ellipsoid function of the eigenvalues ??and c2 expand the series solution , and get excited characteristic value of the ground state eigenvalue . direct relationship. The second part is the ellipsoidal wave equation with the right solution c is very small non-zero spin , given the same series expanded its ground state eigenvalues ??and the ground state characteristic function c . Text is divided into three chapters: Chapter 1 : brief introduction to the research background , significance and the basic concepts and basic principles . Including linear perturbation of the Kerr black hole and Teukolsky equation , and supersymmetric quantum mechanics . Chapter II : solve small c ellipsoidal wave equation . Chapter : solving c hour spin is not zero with the right ellipsoid wave equation .

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory > Quantum mechanics ( wave mechanics,matrix mechanics )
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