Abstract: The Schroedinger equation for the (w.r.t. $SO_q(N)$) isotropic harmonic oscillator on the $N$-dimensional real quantum euclidean space $R_q^N$ is algebraically solved. The hamiltonian and the other operators are built in terms of the q-deformed coordinates and derivatives characterizing this noncommutative geometrical space and its two differential calculi. The spectrum and the eigenfunctions (the q-deformed Hermite functions) are studied.
SO_q(N)-Symmetric Harmonic Oscillator on the N-dim Real Quantum Euclidean Space / Fiore, Gaetano. - In: INTERNATIONAL JOURNAL OF MODERN PHYSICS A. - ISSN 0217-751X. - STAMPA. - 7:(1992), pp. 7597-7614.
SO_q(N)-Symmetric Harmonic Oscillator on the N-dim Real Quantum Euclidean Space
FIORE, GAETANO
1992
Abstract
Abstract: The Schroedinger equation for the (w.r.t. $SO_q(N)$) isotropic harmonic oscillator on the $N$-dimensional real quantum euclidean space $R_q^N$ is algebraically solved. The hamiltonian and the other operators are built in terms of the q-deformed coordinates and derivatives characterizing this noncommutative geometrical space and its two differential calculi. The spectrum and the eigenfunctions (the q-deformed Hermite functions) are studied.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
