A report presents a theoretical study of a harmonic oscillator in homogeneous or nonhomogeneous externally applied electric and/or gravitational fields. The standard quantum-mechanical formalism for a simple harmonic oscillator, starting with the Hamiltonian and the associated creation and annihilation operators, is modified to incorporate the additional terms representing the external fields. The correspondingly modified solutions of the Schroedinger equation are derived.

This work was done by Igor Kulikov of Caltech for NASA’s Jet Propulsion Laboratory. To obtain a copy of the report, “Harmonic Oscillator in External Fields: Theory and Applications,” access the Technical Support Package (TSP) free on-line at www.nasatech.com/tsp  under the Physical Sciences category. NPO-30262

This Brief includes a Technical Support Package (TSP).
Quantum Mechanics of Harmonic Oscillator in External Fields

(reference NPO-30262) is currently available for download from the TSP library.

Don't have an account? Sign up here.

NASA Tech Briefs Magazine

This article first appeared in the March, 2002 issue of NASA Tech Briefs Magazine.

Read more articles from the archives here.