Heisenberg's wave packet reconsidered

Details Heisenberg's wave packet reconsidered Heisenberg's wave packet reconsidered

2005-09-07

arxiv.org/abs/quant-ph/0509045v3

Physics

Quantum Physics

10 pages, minor corrections

Scientific paper

This note shows that Heisenberg's choice for a wave function in his original paper on the uncertainty principle is simply a renormalized characteristic function of a stable distribution with certain restrictions on the parameters. Relaxing Heisenberg's restrictions leads to a more general formulation of the uncertainty principle. This reformulation shows quantum uncertainty can exist at a macroscopic level. These modifications also give rise to a new form of Schrodinger's wave equation as the equation of a vibrating string. Although a heat equation version can also be given, the latter shows the traditional formulation of Schrodinger's equation involves a hidden Cauchy amplitude assumption.

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