Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach

Details Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach Two-dimensional Schrödinger Hamiltonians with Effective Mass in SUSY Approach

2007-12-27

arxiv.org/abs/0712.4262v1

AnnalsPhys.323:2624-2632,2008

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1016/j.aop.2008.04.004

The general solution of SUSY intertwining relations of first order for two-dimensional Schr\"odinger operators with position-dependent (effective) mass is built in terms of four arbitrary functions. The procedure of separation of variables for the constructed potentials is demonstrated in general form. The generalization for intertwining of second order is also considered. The general solution for a particular form of intertwining operator is found, its properties - symmetry, irreducibility, separation of variables - are investigated.

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