Language:   Search:   Contact
World of
Mathematics Database
»ZBMATH« MSC 2000
MSC 2010 Reviewer
Service Subscription
»ZBMATH«
ZBMATH Database | Advanced Search Print
Read more | Try MathML | Hide
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

ZBMATH Database Simple Search Advanced Search Command Search

Advanced Search

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 0658.70020
Colegrave, R.K.; Mannan, M.A.
Invariants for the time-dependent harmonic oscillator. (English)
[J] J. Math. Phys. 29, No.7, 1580-1587 (1988). ISSN 0022-2488; ISSN 1089-7658/e

A systematic method is presented for the construction of invariants for the damped oscillator under the action of a driving force and for the N- dimensional isotropic or anisotropic oscillator. Invariants for time- dependent oscillators are obtained by canonical transformation. The treatment holds in both classical and quantum mechanics.
MSC 2000:
*70H15 Canonical transformations
70J99 Linear vibration theory
81Q99 General mathematical topics and methods in quantum theory
37J35 Completely integrable systems, etc.
37K10 Completely integrable systems etc.

Keywords: invariants for the damped oscillator; anisotropic oscillator; canonical transformation

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

Login Username: Password:

Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Master Server

Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences
Published by Springer-Verlag | Webmaster