Effective-mass Schroedinger equation and generation of solvable potentials

B. Bagchi; P. Gorain; C. Quesne; R. Roychoudhury

doi:10.1023/B:CJOP.0000044000.89791.d7

Effective-mass Schroedinger equation and generation of solvable potentials

Quantum Physics 2009-11-10 v1 Mathematical Physics math.MP

Authors: B. Bagchi , P. Gorain , C. Quesne , R. Roychoudhury

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Abstract

A one-dimensional Schr\"odinger equation with position-dependent effective mass in the kinetic energy operator is studied in the framework of an $so(2,1)$ algebra. New mass-deformed versions of Scarf II, Morse and generalized P\"oschl-Teller potentials are obtained. Consistency with an intertwining condition is pointed out.

Keywords

schrödinger equation effective action in quantum field theory schrödinger operators

Cite

@article{arxiv.quant-ph/0407101,
  title  = {Effective-mass Schroedinger equation and generation of solvable potentials},
  author = {B. Bagchi and P. Gorain and C. Quesne and R. Roychoudhury},
  journal= {arXiv preprint arXiv:quant-ph/0407101},
  year   = {2009}
}

Comments

9 pages, no figure, communication at "2nd International Workshop on Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech Republic, June 14-16,2004

Effective-mass Schroedinger equation and generation of solvable potentials

Abstract

Keywords

Cite

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