Wavepacket Solutions of the Klein-Gordon Equation

Details Wavepacket Solutions of the Klein-Gordon Equation Wavepacket Solutions of the Klein-Gordon Equation

2007-07-23

arxiv.org/abs/0707.3352v4

Physics

Quantum Physics

plianTeX, 9 pages, velocity operator canonical transformation included

Scientific paper

We find dispersion-free wavepacket solutions to the Klein-Gordon equation, with the only free parameter being the wavepacket velocity $ {\bf v} $. These wavefunctions are eigenvectors of a velocity operator with commuting components which is symmetric in a certain scalar product space. We show that this velocity operator corresponds to a classical generator which may be obtained by a canonical tranformation from $ {\bf x}, {\bf k} $.

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