A special class of solutions of the Schrödinger equation for a free particle
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The fundamental solution of the Schrödinger equation for a free particle is modified by the inclusion of an arbitrary scalar and an arbitrary vector, both imaginary. This gives a field free from singularities. By choosing the scalar small and the vector large, one obtains a model of a wavepacket which moves fast and remains concentrated over a long range.
KeywordsLong Range Fundamental Solution Special Class Free Particle Arbitrary Vector
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