Generalized Solutions for Quantum Mechanical Oscillator on Kähler Conifold

Details Generalized Solutions for Quantum Mechanical Oscillator on Kähler Conifold Generalized Solutions for Quantum Mechanical Oscillator on Kähler Conifold

2006-03-24

arxiv.org/abs/hep-th/0603187v2

J.Phys.A39:7719-7726,2006

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, latex, no figure

Scientific paper

10.1088/0305-4470/39/24/008

We study the possible generalized boundary conditions and the corresponding solutions for the quantum mechanical oscillator model on K\"{a}hler conifold. We perform it by self-adjoint extension of the the initial domain of the effective radial Hamiltonian. Remarkable effect of this generalized boundary condition is that at certain boundary condition the orbital angular momentum degeneracy is restored! We also recover the known spectrum in our formulation, which of course correspond to some other boundary condition.

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