A Laplace transform approach to the quantum harmonic oscillator
Quantum Physics
2015-06-12 v1 Mathematical Physics
math.MP
Abstract
The one-dimensional quantum harmonic oscillator problem is examined via the Laplace transform method. The stationary states are determined by requiring definite parity and good behaviour of the eigenfunction at the origin and at infinity.
Keywords
Cite
@article{arxiv.1211.7011,
title = {A Laplace transform approach to the quantum harmonic oscillator},
author = {Douglas R. M. Pimentel and Antonio S. de Castro},
journal= {arXiv preprint arXiv:1211.7011},
year = {2015}
}