Macroscopic and mesoscopic matter waves

Varma, R. K. (2002) Macroscopic and mesoscopic matter waves European Physical Journal D (EPJ D), The - Atomic,Molecular and Optical Physics, 20 (2). pp. 211-218. ISSN 1434-6060

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Official URL: http://www.springerlink.com/content/78ndd0a1wpgmja...

Related URL: http://dx.doi.org/10.1140/epjd/e2002-00129-8

Abstract

It has been shown earlier [3,6] that matter waves which are known to lie typically in the range of a few angstrom, can also manifest in the macrodomain with a wave length of a few centimeters, for electrons propagating along a magnetic field. This followed from the predictions of a probability amplitude theory by the author [1,2] in the classical macrodomain of the dynamics of charged particles in a magnetic field. It is shown in this paper that this case constitutes only a special case of a generic situation whereby composite systems such as atoms and molecules in their highly excited internal states, can exhibit matter wave manifestation in macro and mesodomains, in one-dimensional scattering. The wave length of these waves is determined, not by the mass of the particle as in the case of the de Broglie wave, but by the frequency ω , of the classical orbital motion of the internal state in the correspondence limit, and is given by a nonquantal expression, λ = 2π v/ω1, v being the velocity of the particle. For the electrons in a magnetic field the frequency corresponds to the gyrofrequency, Ω and the nonquantal wave length is given by λ = 2πv||/Ω; v|| being the velocity of electrons along the magnetic field.

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ID Code:58387
Deposited On:31 Aug 2011 06:18
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