Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator

• Autorzy: Eugen Paal , Jüri Virkepu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81R05: Finite-dimensional groups and algebras motivated by physics and their representations
• 18D50: Operads

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 199-209

Daty

wydano

2011

Twórcy

autor

Eugen Paal

• Department of Mathematics, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia

autor

Jüri Virkepu

• Department of Mathematics, Tallinn University of Technology, Ehitajate tee 5, 19086 Tallinn, Estonia

Identyfikatory

DOI

10.4064/bc93-0-16