Non-dispersive wavepacket solutions of the Schrodinger equation

Details Non-dispersive wavepacket solutions of the Schrodinger equation Non-dispersive wavepacket solutions of the Schrodinger equation

2008-01-11

arxiv.org/abs/0801.1834v5

Physics

Quantum Physics

12 pages, parameters amended to yield correct dimension and new section added on relativistic extension

Scientific paper

10.1088/1751-8113/41/26/265305

The free Schrodinger equation has constant velocity wavepacket solutions \psi_{\bf v} of the form \psi= f({\bf r} - {\bf v}t) e^{- i m c^2 t / 2}. These solutions are eigenvectors of a momentum operator {\bf \tilde p} which is symmetric in a positive definite scalar product space. We discuss whether these \psi_{\bf v} can act as basis states rather than the usual plane wave solutions.

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