A simple inquiry on the critical electric dipole moment in one space dimension

The magnitude of an electric dipole moment must be larger or equal to a certain critical value to support bound states. This is not a widely known fact that nevertheless is easy to understand on heuristic terms and relatively easy to calculate. This critical dipole moment, <img border=0 src="../../../../../img/revistas/rmfe/v56n1/a2s1.jpg">, has been calculated in 2 and 3 dimensions. It has been ascertained that it does not exist in one dimension or, at least, that it is not computable. In this work, after giving simple arguments on the existence of this critical moment, we compute <img border=0 src="../../../../../img/revistas/rmfe/v56n1/a2s1.jpg">in one dimension.

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Bibliographic Details
Main Authors: Jaramillo,B., Núñez-Yépez,H.N., Salas-Brito,A.L.
Format: Digital revista
Language:English
Published: Sociedad Mexicana de Física 2010
Online Access:http://www.scielo.org.mx/scielo.php?script=sci_arttext&pid=S1870-35422010000100002
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