2002/09/06 by Seok Kim, Seok Chan Kim, Kim, Seok +2
Engineering · Materials Science · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Magnetism in coordination complexes #Molecular Junctions and Nanostructures #Quantum Physics (quant-ph) #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0209046
22 pages, no figures; uses revtex4
arxiv created 2002/09/06 · openalex publication_date 2002/09/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a new perturbation theory for quantum mechanical energy eigenstates when the potential equals the sum of two localized, but not necessarily weak potentials V1(r) and V2(r), with the distance L between the respective centers of the two taken to be quite large. It is assumed that complete eigenfunctions of the local Hamiltonians (i.e., in the presence of V1(r) or V2(r) only) are available as inputs to our perturbation theory. If the two local Hamiltonians have degenerate bound-state energy levels, a systematic extension of the molecular orbital theory (or the tight-binding approximation) follows from our formalism. Our approach can be viewed as a systematic adaptation of the multiple scattering theory to the problem of bound states.