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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The Schrödinger equation with a moving point interaction in three dimensions


Author: Andrea Posilicano
Journal: Proc. Amer. Math. Soc. 135 (2007), 1785-1793
MSC (2000): Primary 47B25, 47D08; Secondary 47D06, 81Q10
Published electronically: December 27, 2006
MathSciNet review: 2286089
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Abstract: In the case of a single point interaction we improve, by using different methods, the existence theorem for the unitary evolution generated by a Schrödinger operator with moving point interactions obtained by Dell'Antonio, Figari and Teta.


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Additional Information

Andrea Posilicano
Affiliation: Dipartimento di Fisica e Matematica, Università dell’Insubria, I-22100 Como, Italy
Email: posilicano@uninsubria.it

DOI: http://dx.doi.org/10.1090/S0002-9939-06-08814-9
PII: S 0002-9939(06)08814-9
Keywords: Point interactions, singular perturbations, unitary propagators.
Received by editor(s): February 3, 2006
Published electronically: December 27, 2006
Communicated by: David S. Tartakoff
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.