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.
No takes yet. Share an insight, caveat, or question.
Mukunda et al. (1973) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: