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arxiv: 0707.3386 · v1 · submitted 2007-07-23 · 🧮 math-ph · math.MP· quant-ph

Galilei invariant theories. III. Wave equations for massless fields

classification 🧮 math-ph math.MPquant-ph
keywords equationsfieldsmasslessgalileiwavecontractionsinvariantbroad
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Galilei invariant equations for massless fields are obtained via contractions of relativistic wave equations. It is shown that the collection of non-equivalent Galilei-invariant wave equations for massless fields with spin equal 1 and 0 is very broad and describes many physically consistent systems. In particular, there exist a huge number of such equations for massless fields which correspond to various contractions of representations of the Lorentz group to those of the Galilei one.

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