Schroedinger equation as the universal continuum limit of nonrelativistic coherent hopping on a cubic spatial lattice

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dc.creatorPolley, Lutz
dc.date1998-11-18
dc.date1998-11-26
dc.date.accessioned2026-07-07T06:15:50Z
dc.date.available2026-07-07T06:15:50Z
dc.descriptionThe Schroedinger equation with scalar and vector potentials is the continuum limit of any coherent hopping process (where position eigenstates superpose with neighbouring eigenstates after a time step) whose hopping amplitudes are homogeneous in quadratic order of the inverse lattice spacing, inhomogeneous in first order, and satisfying a summability condition with respect to higher-than-next neighbours.
dc.description6 pages, LaTeX; Introduction extended with reference to quantum lattice-gas models
dc.identifierhttps://arxiv.org/abs/quant-ph/9811048
dc.identifierhttp://arxiv.org/abs/quant-ph/9811048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93881
dc.subjectQuantum Physics
dc.titleSchroedinger equation as the universal continuum limit of nonrelativistic coherent hopping on a cubic spatial lattice
dc.typetext

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