Critical electric dipole moment in one dimension

The magnitude of an electric dipole moment must be larger or equal to a certain value to support bound states. Such critical dipole moment, p crit , has been calculated in 2 and 3 dimensions and has been suggested that its calculation in one dimension cannot be possible. We evaluate p crit in one di...

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Bibliographic Details
Published in:Physics letters. A 2010-06, Vol.374 (27), p.2707-2708
Main Authors: Jaramillo, Benjamín, Núñez-Yépez, H.N., Salas-Brito, A.L.
Format: Article
Language:English
Subjects:
Dipole moment
Electric dipoles
Mathematical analysis
Solid state physics
Three dimensional
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Summary:The magnitude of an electric dipole moment must be larger or equal to a certain value to support bound states. Such critical dipole moment, p crit , has been calculated in 2 and 3 dimensions and has been suggested that its calculation in one dimension cannot be possible. We evaluate p crit in one dimension showing that the previous suggestion is untenable.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2010.04.058