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Spiked oscillators: exact solution

Authors :
Gomez, F. J.
Sesma, J.
Source :
J. Phys. A: Math. Theor. 43 (2010) 385302 (24pp)
Publication Year :
2011

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.

Subjects

Subjects :
Quantum Physics

Details

Database :
arXiv
Journal :
J. Phys. A: Math. Theor. 43 (2010) 385302 (24pp)
Publication Type :
Report
Accession number :
edsarx.1103.0736
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/1751-8113/43/38/385302