A Laplace transform approach to the quantum harmonic oscillator

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.

References in corpus (1)

• Exact Solutions of the Schrödinger Equation via Laplace Transform Approach: Pseudoharmonic potential and Mie-type potentials

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• Revisiting the quantum harmonic oscillator via unilateral Fourier transforms
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