Non-Commutative Harmonic and Subharmonic Polynomials
✍ Scribed by J. William Helton; Daniel P. McAllaster; Joshua A. Hernandez
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2008
- Tongue
- English
- Weight
- 303 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0378-620X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
We determine the commutant algebra of W in the m-fold tensor product of its n natural representation in the case m F n. For m ) n, we show that the commutant algebra is of finite dimension by introducing a new kind of harmonic polynomial.
In the present paper we study the quantum damped harmonic oscillator on non-commuting two-dimensional space. We calculate the time evolution operator and we find the exact propagator of the system. We investigate as well the thermodynamic properties of the system using the standard canonical density