New forms for the representations of the three-dimensional Lorentz group

Mukunda, N. ; Radhakrishnan, B. (1973) New forms for the representations of the three-dimensional Lorentz group Journal of Mathematical Physics, 14 (2). pp. 254-258. ISSN 0022-2488

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Official URL: http://link.aip.org/link/jmapaq/v14/i2/p254/s1

Related URL: http://dx.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.

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ID Code:25338
Deposited On:06 Dec 2010 13:33
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