B L Burrows and M Cohen 2003 J. Phys. A: Math. Gen. 36 11643 doi:10.1088/0305-4470/36/46/008
B L Burrows1 and M Cohen2
Show affiliationsLie algebraic techniques are used to obtain exact solutions of the time-dependent Schrödinger equation for a model double-well potential with an applied, time-dependent, dipole field. The model potential consists of harmonic potentials in x > 0 and x < 0 with an interface region spanning the origin and the theory of the matching of the wavefunctions for the three different regions is examined in detail. The time-dependent solutions are shown to give rise to two independent types of charge transfer arising from a positional change in the wave packet due to the applied field and the change of shape of the wave packet due to interference effects.
22E60 Lie algebras of Lie groups (For the algebraic theory of Lie algebras, see 17Bxx)
81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
Issue 46 (21 November 2003)
Received 18 July 2003
Published 5 November 2003
B L Burrows and M Cohen 2003 J. Phys. A: Math. Gen. 36 11643
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