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

Eugen Paal; Jüri Virkepu

Banach Center Publications (2011)

  • Volume: 93, Issue: 1, page 199-209
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Eugen Paal, and Jüri Virkepu. "Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator." Banach Center Publications 93.1 (2011): 199-209. <http://eudml.org/doc/281854>.

@article{EugenPaal2011,
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.},
author = {Eugen Paal, Jüri Virkepu},
journal = {Banach Center Publications},
language = {eng},
number = {1},
pages = {199-209},
title = {Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator},
url = {http://eudml.org/doc/281854},
volume = {93},
year = {2011},
}

TY - JOUR
AU - Eugen Paal
AU - Jüri Virkepu
TI - Jacobi operators of quantum counterparts of three-dimensional real Lie algebras over the harmonic oscillator
JO - Banach Center Publications
PY - 2011
VL - 93
IS - 1
SP - 199
EP - 209
AB - 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.
LA - eng
UR - http://eudml.org/doc/281854
ER -

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