Harmonic Oscillator Lie Bialgebras and their Quantization

Details Harmonic Oscillator Lie Bialgebras and their Quantization Harmonic Oscillator Lie Bialgebras and their Quantization

1997-01-27

arxiv.org/abs/q-alg/9701027v1

Mathematics

Quantum Algebra

8 pages, LaTeX; communication presented in the XXI ICGTMP, Goslar (Germany) 1996

Scientific paper

All possible Lie bialgebra structures on the harmonic oscillator algebra are
explicitly derived and it is shown that all of them are of the coboundary type.
A non-standard quantum oscillator is introduced as a quantization of a
triangular Lie bialgebra, and a universal $R$-matrix linked to this new quantum
algebra is presented.

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