Seetharaman, M. ; Jayaraman, J. ; Mathews, P. M. (1971) Arbitrary-spin wave equations and Lorentz invariance Journal of Mathematical Physics, 12 (5). 835_1-835_6. ISSN 0022-2488
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Official URL: http://jmp.aip.org/resource/1/jmapaq/v12/i5/p835_s...
Related URL: http://dx.doi.org/10.1063/1.1665652
Abstract
In an earlier paper it was shown that invariance of the arbitrary-spin wave equation i(∂ψ/∂t) = Hψ [with ψ transforming according to the representation D(0,s)⊕D(s,0) under rotations, T, C, and P, and boosts in the direction of the momentum, permits four infinite classes of solutions for H. Here we show that when invariance under boosts transverse to the momentum also is imposed, just two possible forms for H survive (in the c-number formalism). When we go over to the q-number theory, one of these forms leads to a consistent theory for half-integer spins only and the other for integer spins.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 81165 |
| Deposited On: | 04 Feb 2012 11:24 |
| Last Modified: | 04 Feb 2012 11:24 |
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