A quasi-free position-dependent mass jump and self-scattering correspondence

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IOP Publishing

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info:eu-repo/semantics/closedAccess

Abstract

A quasi-free quantum particle endowed with a Heaviside position-dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac delta point dipole interaction, delta'(x) = partial derivative(x)delta(x). Using proper parametric mappings, the reflection and transmission coefficients are obtained. A new ordering ambiguity parameter set is reported.

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Keywords

ALGEBRAS, ORDERING AMBIGUITY, INVARIANCE, DELTA-FUNCTION, OPERATORS, SCHRODINGER-EQUATION, PARTICLE, PHYSICS, MULTIDISCIPLINARY, BOUND-STATES, POTENTIALS, HAMILTONIANS, Quantum Physics

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Physica Scripta

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Volume

82

Issue

6

Citation

O. Mustafa and S. Habib Mazharimousavi Phys. Scr. 82, 065013 (2010): arXiv:0906.4534. "A quasi-free position-dependent-mass jump and self-scattering correspondence". SCI-journal

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