On the evolution of wave packets for particles in central potentials

Eswaran, K. ; Mathews, P. M. (1974) On the evolution of wave packets for particles in central potentials Journal of Physics A: Mathematical, Nuclear and General, 7 (13). pp. 1547-1556. ISSN 0301-0015

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Official URL: http://iopscience.iop.org/0301-0015/7/13/009

Related URL: http://dx.doi.org/10.1088/0305-4470/7/13/009

Abstract

The manner in which the extension of a small wave packet moving in a circular orbit in a central potential V(r) changes with time is examined. It is shown that in general, the extension in the orbital plane increases indefinitely at large times unless rV"-V'=0 at the radius of the orbit. The question whether there exist any special 'coherent' wave packets which retain a finite size for arbitrary times in a Coulomb potential is investigated, and the answer is shown to be in the negative.

Item Type:Article
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ID Code:20519
Deposited On:20 Nov 2010 14:23
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