A new effective mass Hamiltonian and associated Lame equation: bound states
Quantum Physics
2009-11-13 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0610248,
title = {A new effective mass Hamiltonian and associated Lame equation: bound states},
author = {A. Ganguly and M. V. Ioffe and L. M. Nieto},
journal= {arXiv preprint arXiv:quant-ph/0610248},
year = {2009}
}
Comments
To be published in J.Phys.A (Present e-mail of AG: [email protected])