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Algebraic quantum Hamiltonians on the plane
- Publication Year :
- 2015
-
Abstract
- We consider second order differential operators $P$ with polynomial coefficients that preserve the vector space $V_k$ of polynomials of degrees not greater then $k$. We assume that the metric associated with the symbol of $P$ is flat and that the operator $P$ is potential. In the case of two independent variables we obtain some classification results and find polynomial forms for the elliptic $A_2$ and $G_2$ Calogero-Moser Hamiltonians and for the elliptic Inosemtsev model.<br />Comment: 14 pages
- Subjects :
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
37K10
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1503.05185
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s11232-015-0307-x