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Solution of the Schrodinger equation for complex Hamiltonian systems in two dimensions
by
Dr. Fakir Chand
Department of Physics, Kurukshetra University, Kurukshetra 136119, India
Coauthors: Prof. S.C.Mishra
We investigate the quasi-exact solutions of the Schrodinger wave equation for two dimensional non-hermitian complex Hamiltonian systems with in the frame work of an extended complex phase space characterized by x=x_1+ip_3, y=x_2+ip_4, p_x=p_3+ix_1, p_y=p_4+ix_2. Explicit expressions for eigenvalues and eigenfunctions for ground state and first excited state of a complex quartic potential are obtained. Some variants of the complex quartic potential, including PT-symmetric forms, are also worked out.
Date received: February 13, 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 # caws-23.