English

Generalized Solutions for Quantum Mechanical Oscillator on K\"{a}hler Conifold

High Energy Physics - Theory 2008-11-26 v2

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0603187,
  title  = {Generalized Solutions for Quantum Mechanical Oscillator on K\"{a}hler Conifold},
  author = {Pulak Ranjan Giri},
  journal= {arXiv preprint arXiv:hep-th/0603187},
  year   = {2008}
}

Comments

7 pages, latex, no figure

R2 v1 2026-07-22T15:35:25.465Z