A New Effective Mass Hamiltonian and Associated Lamé Equation: Bound States
نویسندگان
چکیده
A new quantum model with rational functions for the potential and effective mass is proposed in a stretchable region outside which both are constant. Starting from a generalized effective mass kinetic energy operator the matching and boundary conditions for the envelope wave functions are derived. It is shown that in a mapping to an auxiliary constant-mass Schrödinger picture one obtains one-period “associated Lamé” well bounded by two δ-wells or δ-barriers depending on the values of the ordering parameter β. The results for bound states of this new solvable model are provided for a wide variation of the parameters. PACS numbers: 03.65.-w Accepted in J. Phys. A
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تاریخ انتشار 2006