IRREDUCIBLE REPRESENTATIONS OF GENERALIZED OSCILLATOR OPERATORS
Technical Report
·
OSTI ID:4757296
All of the irreducible representations are found for a single pair of creation and annihilation operators that together with the symmetric or antisymmetric number operator satisfy the generalized commutation relation characteristic of para-Bose or para-Fermi field quantization. The procedure is simply to identity certain combinations of these three operators with the three generators of the three dimensional rotation group in the para-Fermi case and with the three generators of the three dimensional Lorentz group in the para-Bose case. The irreducible representations are then easily obtained by the usual raising and lowering operator techniques. The applicability of these techniques is demonstrated by a simple argument that shows that the commutation relations require that the generator be diagonalized to have a discrete spectrum. (auth)
- Research Organization:
- Rochester, N.Y. Univ.
- NSA Number:
- NSA-17-012762
- OSTI ID:
- 4757296
- Report Number(s):
- NYO-10253
- Country of Publication:
- United States
- Language:
- English
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