Algebraic time-reversal operation

6533b7d5fe1ef96bd126534d

RESEARCH PRODUCT

Algebraic time-reversal operation

F. Michelot Claude Leroy V. Boujut Hans-rudolf Jauslin

subject

Pure mathematics Function field of an algebraic variety [ PHYS.QPHY ] Physics [physics]/Quantum Physics [quant-ph]010304 chemical physics 03.65.Fd Algebraic methods - 31.15.Hz Group theory Algebraic extension Dimension of an algebraic variety 010402 general chemistry 01 natural sciences Atomic and Molecular Physics and Optics 0104 chemical sciences Algebraic cycle [PHYS.QPHY]Physics [physics]/Quantum Physics [quant-ph]Algebraic methods Quantum mechanics 0103 physical sciences Algebraic surface Real algebraic geometry Algebraic function Group theory Differential algebraic geometry Mathematics

description

International audience; 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) U(4) K(4) = A(4) ^ S(4) S(4) Td. 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.

year	journal	country	edition	language
1999-02-01	The European Physical Journal D

https://doi.org/10.1007/pl00021594

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