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Conference on Non-linear Phenomena in Mathematical Physics: Dedicated to Cathleen Synge Morawetz on her 85th birthday
September 18-20, 2008
Fields Institute
Toronto, Ontario, Canada

Organizers
Jim Colliander (University of Toronto), Susan Friedlander (University of Southern California) Irene M. Gamba (U. Texas at Austin) - Committee Chair, Fern Hunt (NIST) Barbara L. Keyfitz (Fields Institute, Canada), Walter Strauss (Brown University)

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Evolution operator for a one-dimensional Schrodinger equation with a time dependent Hamiltonian.
by
Erwin Suazo
Arizona State University
Coauthors: Sergei Suslov, Raquel Lopez, Ricardo Cordero-Soto.

We propose an explicit construction of the fundamental solutions to the one-dimensional Schrodinger equation with a particular linear time-dependent Hamiltonian such that the sum of the order of derivative and the degree of polynomial in the respective coefficient equals two. For some special choice of coefficients of the Hamiltonian this system can be integrated and therefore the fundamental solution has an explicit form. Applications to physics are outlined.

Date received: July 11, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxk-06.