ar X iv : q ua nt - p h / 01 08 08 3 v 1 1 7 A ug 2 00 1 Huygens ’ principle , the free Schrödinger particle and the quantum anti – centrifugal force
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چکیده
Huygens’ principle following from the d’Alembert wave equation is not valid in two–dimensional space. A Schrödinger particle of vanishing angular momentum moving freely in two dimensions experiences an attractive force – the quantum anti–centrifugal force – towards its center. 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.
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