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Lorentz Group applicable to Finite Crystals | Sibel Baskal
; Elena Georgieva
; Y. S. Kim
; | Date: |
18 Jul 2006 | Subject: | Mathematical Physics | Abstract: | The 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. | Source: | arXiv, math-ph/0607035 | Services: | Forum | Review | PDF | Favorites |
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