New forms for the representations of the three-dimensional Lorentz group
- 1 February 1973
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (2) , 254-258
- https://doi.org/10.1063/1.1666305
Abstract
We present a uniform construction of all the principal series representations of the three-dimensional Lorentz group with generators constructed in terms of oscillator operators. In all cases, the Hilbert space and a hyperbolic generator have a simple appearance, while the other two generators give rise to nonlocal transformations involving Bessel functions.Keywords
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