The step operators of the two-dimensional isotropic harmonic oscillator are shown to be separable into the basis elements of two disjoint Heisenberg Lie algebras. This separability leads to two sets of irreducible tensors, each of which is based upon its associated underlying Heisenberg Lie algebra.
โฆ LIBER โฆ
Harmonic oscillations
โ Scribed by A.F Zahm
- Book ID
- 104123599
- Publisher
- Elsevier Science
- Year
- 1921
- Tongue
- English
- Weight
- 947 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
INT~ODUCTIO:~
๐ SIMILAR VOLUMES
Harmonic oscillator tensors. V. The doub
โ
Pancracio Palting
๐
Article
๐
1998
๐
John Wiley and Sons
๐
English
โ 222 KB
Restless Harmonic Oscillator
โ
Hane, Michael
๐
Article
๐
1962
๐
American Institute of Physics
๐
English
โ 554 KB
GENERALIZED HARMONIC OSCILLATORS
โ
RONALD E. MICKENS
๐
Article
๐
2000
๐
Elsevier Science
๐
English
โ 68 KB
The main purpose of this Letter is to introduce a new class of non-linear oscillator equations which model generalized one-dimensional harmonic oscillators and provide a preliminary analysis of some of their important properties. These equations take the form
Forced Harmonic Oscillator
โ
Oppenheimer, Frank
๐
Article
๐
1963
๐
American Institute of Physics
๐
English
โ 759 KB
Linked Harmonic Oscillators
โ
Synge, John L.
๐
Article
๐
1973
๐
Society for Industrial and Applied Mathematics
๐
English
โ 880 KB
Coupled harmonic oscillators, generalize
โ
G. Dattoli, A. Torre, S. Lorenzutta, G. Maino
๐
Article
๐
1996
๐
Springer-Verlag,Italian Physical Society
โ 503 KB