Lorentz Group applicable to Finite Crystals

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dc.creatorBaskal, Sibel
dc.creatorGeorgieva, Elena
dc.creatorKim, Y. S.
dc.date2006-07-18
dc.date.accessioned2026-07-07T07:20:33Z
dc.date.available2026-07-07T07:20:33Z
dc.descriptionThe two-by-two scattering matrix for one-dimensional scattering processes is a three-parameter Sp(2) matrix or its unitary equivalent. For one-dimensional crystals, it would be repeated applications of this matrix. The problem is how to calculate N repeated multiplications of this matrix. It is shown that the original Sp(2) matrix can be written as a similarity transformation of Wigner's little group matrix which can be diagonalized. It is then possible to calculate the repeated applications of the original Sp(2) matrix.
dc.descriptionLaTex 5 pages, presented at 26th International Colloquium on Group Theoretical Methods in Physics (New York, June 2006)
dc.identifierhttps://arxiv.org/abs/math-ph/0607035
dc.identifierhttp://arxiv.org/abs/math-ph/0607035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114988
dc.subjectMathematical Physics
dc.subjectMaterials Science
dc.subjectQuantum Physics
dc.titleLorentz Group applicable to Finite Crystals
dc.typetext

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