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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

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📜 SIMILAR VOLUMES


Commutant Algebra and Harmonic Polynomia
✍ Kyo Nishiyama 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 199 KB

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.

Quantum damped harmonic oscillator on no
✍ Antony Streklas 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 223 KB

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