Some Problems of Self-Adjoint Extension in the Schrodinger equation

Abstract

The Self-Adjoint Extension in the Schrodinger equation for potentials behaved as an attractive inverse square at the origin is critically reviewed. Original results are also presented. It is shown that the additional solutions must be retained for definite interval of parameters, which requires performing of Self-Adjoint Extension necessarily. The "Pragmatic approach" is used and some of its consequences are considered for wide class of transitive potentials. The problems of restriction of Self-Adjoint Extension parameter are also discussed. Various relevant applications are presented as well.

23 pages,submitted to J.Phys.A

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Cited by in corpus (3)

• What is the boundary condition for radial wave function of the Schrödinger equation ?
• Generalization of Hypervirial and Feynman-Hellmann Theorems for Singular Potentials
• Delta function singularity in the Reduction of Radial Schrodinger Equation