Two-dimensional isotropic harmonic oscillator on a time-dependent sphere
2012 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, Vol. 45, no 46, 465301- p.Article in journal (Refereed) Published
In this paper, we investigate a two-dimensional isotropic harmonic oscillator on a time-dependent spherical background. The effect of the background can be represented as a minimally coupled field to the oscillator's Hamiltonian. For a fluctuating background, transition probabilities per unit time are obtained. Transitions are possible if the energy eigenvalues of the oscillator E-i and frequencies of the fluctuating background omega(n) satisfy the following two simple relations: E-j similar or equal to E-i - (h) over bar omega(n) (stimulated emission) and E-j similar or equal to E-i + (h) over bar omega(n) (absorption). This indicates that a background fluctuating at a frequency of omega(n) interacts with the oscillator as a quantum field of the same frequency. We believe this result is also applicable for an arbitrary quantum system defined on a fluctuating maximally symmetric background.
Place, publisher, year, edition, pages
2012. Vol. 45, no 46, 465301- p.
IdentifiersURN: urn:nbn:se:su:diva-83043DOI: 10.1088/1751-8113/45/46/465301ISI: 000310467400017OAI: oai:DiVA.org:su-83043DiVA: diva2:573887