Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator
Volume 93 / 2011
Banach Center Publications 93 (2011), 199-209
MSC: Primary 81R05; Secondary 18D50.
DOI: 10.4064/bc93-0-16
Abstract
Operadic Lax representations for the harmonic oscillator are used to construct the quantum counterparts of three-dimensional real Lie algebras. The Jacobi operators of these quantum algebras are explicitly calculated.
