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→Propagator: Fixed typo (removed "is" from "The usual definition of the relativistic propagator only asks for the amplitude is to travel..." Tags: Mobile edit Mobile web edit |
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: <math>K(x - y,\Tau) = e^{-\alpha \Tau} e^{-\frac{(x - y)^2}{\Tau}}.</math>
The usual definition of the relativistic propagator only asks for the amplitude
: <math>K(x - y) = \int_0^\infty K(x - y, \Tau) W(\Tau) \,d\Tau,</math>
where {{math|''W''(Τ)}} is a weight factor, the relative importance of paths of different proper time. By the translation symmetry in proper time, this weight can only be an exponential factor and can be absorbed into the constant {{mvar|α}}:
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