Spiked oscillators: exact solution

Details Spiked oscillators: exact solution Spiked oscillators: exact solution

2011-03-03

arxiv.org/abs/1103.0736v1

J. Phys. A: Math. Theor. 43 (2010) 385302 (24pp)

Physics

Quantum Physics

Scientific paper

10.1088/1751-8113/43/38/385302

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.

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