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

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

Department of Chemistry

Ulm University
Russian Academy of Sciences
City College of New York

Research output: Contribution to journal › Journal article › Research › peer-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 language	English
Journal	Journal of Physics B: Atomic, Molecular and Optical Physics
Volume	35
Issue number	1
Pages (from-to)	191-203
ISSN	0953-4075
Publication status	Published - 2002

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

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.",

author = "M.A. Cirone and Dahl, \{Jens Peder\} and M. Fedorov and D. Greenberger and W.P. Schleich",

year = "2002",

language = "English",

volume = "35",

pages = "191--203",

journal = "Journal of Physics B: Atomic, Molecular and Optical Physics",

issn = "0953-4075",

publisher = "Institute of Physics",

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TY - JOUR

T1 - Huygens' principle, the free Schrodinger particle and the quantum anti-centrifugal force

AU - Cirone, M.A.

AU - Dahl, Jens Peder

AU - Fedorov, M.

AU - Greenberger, D.

AU - Schleich, W.P.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

M3 - Journal article

SN - 0953-4075

VL - 35

SP - 191

EP - 203

JO - Journal of Physics B: Atomic, Molecular and Optical Physics

JF - Journal of Physics B: Atomic, Molecular and Optical Physics

IS - 1

ER -

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

Abstract

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