English

Spiked oscillators: exact solution

Quantum Physics 2011-03-04 v1

Abstract

A procedure to obtain the eigenenergies and eigenfunctions of a quantum spiked oscillator is presented. The originality of the method lies in an adequate use of asymptotic expansions of Wronskians of algebraic solutions of the Schroedinger equation. The procedure is applied to three familiar examples of spiked oscillators.

Keywords

Cite

@article{arxiv.1103.0736,
  title  = {Spiked oscillators: exact solution},
  author = {F. J. Gomez and J. Sesma},
  journal= {arXiv preprint arXiv:1103.0736},
  year   = {2011}
}
R2 v1 2026-06-21T17:34:50.436Z