Elementary simulation of tethered Brownian motion
We describe a simple simulation, suitable for an undergraduate project or graduate problem set, of the Brownian motion of a particle in a Hooke's law potential well. Understanding this physical situat...
We describe a simple simulation, suitable for an undergraduate project or graduate problem set, of the Brownian motion of a particle in a Hooke's law potential well. Understanding this physical situat...
The electric dipole moment of the electron: An intuitive explanation for the evasion of Schiff's theorem
In most experimental searches for the electron electric dipole moment, one searches for a linear Stark effect in a paramagnetic atom or molecule and interprets the result in terms of the electric dipo...
In most experimental searches for the electron electric dipole moment, one searches for a linear Stark effect in a paramagnetic atom or molecule and interprets the result in terms of the electric dipo...
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Critical dipoles in one, two, and three dimensions
American Journal of Physics -- June 2007 -- Volume 75, Issue 6, pp. 524-531
Issue Date: June 2007
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The Schrödinger equation for a point charge in the field of a stationary electric dipole admits bound states only when the dipole moment exceeds a certain critical value. It is not hard to see why this might be the case, but it is surprisingly difficult to calculate the critical dipole moment. The analogous problem should be simpler in one and two dimensions, but a general theorem forbids critical moments in one dimension, and explicit calculation shows that there is no critical moment in two dimensions.
©2007 American Association of Physics Teachers
©2007 American Association of Physics Teachers
| History: | Received 1 November 2006; accepted 26 January 2007 |
| Permalink: | http://dx.doi.org/10.1119/1.2710485 |