Effective Hamiltonian for piecewise flat potentials and masses

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dc.creatorDekar, Liès
dc.date2008-04-23
dc.date.accessioned2026-07-07T09:34:17Z
dc.date.available2026-07-07T09:34:17Z
dc.descriptionWe consider a class of Hermitian Hamiltonians with position-dependent mass $H=((m^alpha)p(m^beta)p(m^alpha))/2+\V$ with $2(alpha)+β=-1$. We apply these Hamiltonians to different piecewise flat potentials and masses (step, barrier, well and multibarrier). To raise the ordering ambiguity we impose that the transmission coefficient tends to the unity as the energy increases indefinitely. We arrive at the conclusion that the form $H_flat=(m^(-1/4)pm^(-1/2)pm^(-1/4))/2+\V$ of the effective Hamiltonian is the most adequate to describe such flat potentials and masses systems.
dc.description10 pages, Submitted to Phys.Lett.A
dc.identifierhttps://arxiv.org/abs/0804.3708
dc.identifierhttp://arxiv.org/abs/0804.3708
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159438
dc.subjectQuantum Physics
dc.titleEffective Hamiltonian for piecewise flat potentials and masses
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