One dimension harmonic oscillator

P. R. Berman

H. Parsian, R. Sabzpoushan, Babak Jaleh

Three dimensions harmonic oscillator is one of the fundamental problems in quantum mechanics. In this research work we investigate an operational treatment of three dimensions quantum harmonic oscillator. We define lower and upper operators for three dimensions quantum harmonic oscillator and find the energy states and wave functions. Subject Classification: 03.65.-w, 32.70Cs.

John P. Lowe, Kirk A. Peterson

P.R. Silva

Thompson’s Method is applied to a variational principle in order to treat the harmonic oscillator in one dimension. It is also used to link the de Broglie frequency to a harmonic oscillator model.

John P. Lowe

José Luis López-Bonilla, Gerardo Ovando

The properties of the Hermite polynomials are used to obtain the matrix elements m|e -γx |n for the harmonic oscillator in one dimension in an easy way.