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• W1994554237 abstract "We show that for a wave ψ in the form of an Airy function the probability density ‖ψ‖2 propagates in free space without distortion and with constant acceleration. This ’’Airy packet’’ corresponds classically to a family of orbits represented by a parabola in phase space; under the classical motion this parabola translates rigidly, and the fact that no other curve has this property shows that the Airy packet is unique in propagating without change of form. The acceleration of the packet (which does not violate Ehrenfest’s theorem) is related to the curvature of the caustic (envelope) of the family of world lines in spacetime. When a spatially uniform force F (t) acts the Airy packet continues to preserve its integrity. We exhibit the solution of Schrödinger’s equation for general F (t) and discuss the motion for some special forms of F (t)." @default.
• W1994554237 created "2016-06-24" @default.
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• W1994554237 date "1979-03-01" @default.
• W1994554237 modified "2023-10-14" @default.
• W1994554237 title "Nonspreading wave packets" @default.
• W1994554237 doi "https://doi.org/10.1119/1.11855" @default.
• W1994554237 hasPublicationYear "1979" @default.
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