On the Use of Time Reversal in Crystal‐Field Problems

1964 ◽  
Vol 41 (3) ◽  
pp. 899-900 ◽  
Author(s):  
Jon T. Hougen
2006 ◽  
Author(s):  
Andrew B. Thien ◽  
Anthony D. Puckett ◽  
Gyuhae Park ◽  
Charles R. Farrar

It is shown in the first part how the basic formalism of the theory of spin-orbit coupling in the band theory of crystals can be deduced at once from the Dirac equation without the usual ambiguities over improper rotations associated with the formalism based on the Pauli-Schrödinger equation. In the second part it is shown that the original proofs of the time-reversal theorems given by Wigner are unnecessarily complicated.


Author(s):  
Wafa Khrouf ◽  
Zeineb Hraiech ◽  
Fatma Abdelkefi ◽  
Mohamed Siala ◽  
Matthieu Crussiere
Keyword(s):  

2012 ◽  
Author(s):  
Cedric Payan ◽  
T. J. Ulrich ◽  
Pierre-Yves Le Bas ◽  
Tarik Saleh ◽  
M. Guimaraes

2005 ◽  
Vol 9 (1) ◽  
pp. 40-42 ◽  
Author(s):  
H.T. Nguyen ◽  
J.B. Andersen ◽  
G.F. Pedersen

2005 ◽  
Vol 9 (1) ◽  
pp. 40-42 ◽  
Author(s):  
Hung Tuan Nguyen ◽  
J.B. Andersen ◽  
G.F. Pedersen

1985 ◽  
Vol 63 (9) ◽  
pp. 1220-1227 ◽  
Author(s):  
J. A. Tuszyński ◽  
R. Chatterjee ◽  
J. M. Dixon

Two-body double-tensor (TBDT) operators are introduced in the LS- and jj-coupling schemes following Racah's definition of irreducible tensor operators. These operators are shown to contain well-known one-body double tensors as a subset. The result of applying parity, charge conjugation, and time reversal to the TBDT operators is investigated so as to obtain selection rules for their matrix elements. On the basis of their rotation properties, these Hermitian tensor operators are shown to satisfy an SU(2) algebra, and consequently the Wigner–Eckart theorem is applied to calculate their matrix elements. The derivation of the reduced matrix elements is provided. We show some examples of interactions investigated in the literature that can be represented as TBDT operators. For one such operator, the spin-correlated crystal field, a detailed numerical evaluation of its matrix elements is given.


2006 ◽  
Vol 119 (5) ◽  
pp. 3286-3286
Author(s):  
Emmanuel Bossy ◽  
Gabriel Montaldo ◽  
Jean‐Francois Aubry ◽  
Michael Tanter ◽  
Mathias Fink ◽  
...  
Keyword(s):  

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