Huygens' principle, the free Schrodinger particle and the quantum anti-centrifugal force

M.A. Cirone, Jens Peder Dahl, M. Fedorov, D. Greenberger, W.P. Schleich

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Huygens' principle following from the d'Alembert wave equation is not valid in two-dimensional space. A Schrodinger particle of vanishing angular momentum moving freely in two dimensions experiences an attractive force-the quantum anti-centrifugal force-towards its centre. We connect these two phenomena by comparing and contrasting the radial propagators of the d'Alembert wave equation and of a free non-relativistic quantum mechanical particle in two and three dimensions.
Original languageEnglish
JournalJOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume35
Issue number1
Pages (from-to)191-203
ISSN0953-4075
Publication statusPublished - 2002

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