Comment on the $Q$ Analogs of the Harmonic Oscillator

Ng, Y.J.

doi:10.1088/0305-4470/23/6/022

Comment on the $Q$ Analogs of the Harmonic Oscillator

Y.J. Ng
(
- North Carolina U.
)

Oct, 1989

8 pages

Published in:

J.Phys.A 23 (1990) 1023

DOI:

10.1088/0305-4470/23/6/022

Report number:

IFP-365-UNC

View in:

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Abstract: (IOP)

The Heisenberg relation for the q-analogues of the quantum harmonic oscillator (introduced independently by Macfarlane and Biedenharn (1989) for the quantum group SU(2)q) is derived by a method analogous to that used by Schwinger (1968) for the SU(2) case. The author also speculates on the possible use of the quantum group as a generalisation of quantum mechanics.

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Yang-Baxter Algebras, Integrable Theories and Quantum Groups

H.J. De Vega
(
- Paris U., VI-VII
)

- Int.J.Mod.Phys.A 4 (1989) 2371-2463,
- Nucl.Phys.B Proc.Suppl. 18 (1990) 229-282,
- In *Jaca 1989, Proceedings, Integrability and quantization* 229-282. Paris VI Univ. - PAR-LPTHE-88-26 (88,rec.Nov.) 171 p.
•
DOI:
- 10.1142/S0217751X89000959

A q difference analog of U(g) and the Yang-Baxter equation

Michio Jimbo
(
- Kyoto U., RIMS
)

- Lett.Math.Phys. 10 (1985) 63-69
•
DOI:
- 10.1007/BF00704588

The Quantum Group SU(2)-q and a q Analog of the Boson Operators

L.C. Biedenharn
(
- Duke U.
)

- J.Phys.A 22 (1989) L873
•
DOI:
- 10.1088/0305-4470/22/18/004

Comment on the QQQ Analogs of the Harmonic Oscillator

Citations per year

Yang-Baxter Algebras, Integrable Theories and Quantum Groups

A q difference analog of U(g) and the Yang-Baxter equation

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Comment on the $Q$ Analogs of the Harmonic Oscillator