NON-SPREADING WAVE PACKETS

被引：1429

作者：

BERRY, MV ^{[1
]}

BALAZS, NL ^{[1
]}

机构：

[1] SUNY STONY BROOK,STONY BROOK,NY 11794

来源：

AMERICAN JOURNAL OF PHYSICS | 1979年 / 47卷 / 03期

关键词：

D O I：

10.1119/1.11855

中图分类号：

G40 [教育学];

学科分类号：

040101 ; 120403 ;

摘要：

We show that for a wave Ψ in the form of an Airy function the probability density Ψ 2propagates 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 Schrodinger’s equation for general F(t) and discuss the motion for some special forms of F(t). © 1979, American Association of Physics Teachers. All rights reserved.

引用

页码：264 / 267

页数：4