A new effective mass Hamiltonian and associated Lame equation: bound states

Details A new effective mass Hamiltonian and associated Lame equation: bound states A new effective mass Hamiltonian and associated Lame equation: bound states

2006-10-30

arxiv.org/abs/quant-ph/0610248v1

J.Phys. A39 (2006) 14659-14680

Physics

Quantum Physics

To be published in J.Phys.A (Present e-mail of AG: gangulyasish@rediffmail.com)

Scientific paper

10.1088/0305-4470/39/47/010

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 Schrodinger picture one obtains one-period ``associated Lame'' well bounded by two delta-wells or delta-barriers depending on the values of one ordering parameter. The results for bound states of this new solvable model are provided for a wide variation of the parameters.

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