Algebraic time-reversal operation |
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| Authors: | C Leroy V Boujut F Michelot H-R Jauslin |
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| Institution: | Laboratoire de Physique (CNRS), Université de Bourgogne, B.P. 400, 21011 Dijon, France, FR
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| Abstract: | We analyze the implementation of the time-reversal (TR) transformation in the algebraic approach to tetrahedral local molecules through the chain of groups U(5) é U(4) é K(4)=A(4)ùS(4) é S(4) ? TdU(5)\supset U(4)\supset K(4)=A(4)\wedge S(4)\supset S(4)\approx T_d. We determine the general form of the TR operation using a purely algebraic realization, based exclusively on the requirement that the irreducible representations must not be changed under the time inversion symmetry. As a result we can determine the TR behavior of purely algebraic operators. |
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