NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ818442
Record Type: Journal
Publication Date: 2008-Jul
Pages: 13
Abstractor: As Provided
Reference Count: 10
ISSN: ISSN-0143-0807
The Adiabatic Invariant of the n-Degree-of-Freedom Harmonic Oscillator
Devaud, M.; Leroy, V.; Bacri, J.-C.; Hocquet, T.
European Journal of Physics, v29 n4 p831-843 Jul 2008
In this graduate-level theoretical paper, we propose a general derivation of the adiabatic invariant of the n-degree-of-freedom harmonic oscillator, available whichever the physical nature of the oscillator and of the parametrical excitation it undergoes. This derivation is founded on the use of the classical Glauber variables and ends up with this simplest result: the oscillator's adiabatic invariant is just the sum of all the semiclassical quanta numbers associated with its different eigenmodes. (Contains 5 footnotes.)
Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A