07-198 Asao Arai

Representations of the Quantum Plane and the Quantum Algebra $U_{q}({\rm sl}_2)$ on $L^2(\R^d)$ (32K, Latex2e) Aug 17, 07

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. A class of representations on the Hilbert space $L^2(\R^d)$ ($d\geq 2$) of the quantum plane $\C_q^2$ and the quantum algebra $U_q({\rm sl}_2)$ is presented. The boundedness and the unboundedness of the representations are discussed. A physically interesting example of the representations is shown to appear in a two-dimensional quantum system with a magnetic field concentrated on an infinite lattice.

Files: 07-198.src( 07-198.keywords , quantum.tex )