Zero-field splitting calculations. Part II. Tabulation of the reduced matrix elements of the irreducible double tensor operators

1976 ◽  
Vol 54 (12) ◽  
pp. 1228-1233 ◽  
Author(s):  
R. Chatterjee ◽  
M. R. Smith ◽  
H. A. Buckmaster
Keyword(s):  
The Other ◽  
Tensor Operator ◽  
Zero Field ◽  
Matrix Elements ◽  
Zero Field Splitting ◽  
Field Splitting ◽  
The Matrix ◽  
The Many ◽  
Relationship Of ◽  
The Relationship

The many-electron reduced matrix elements of the double tensor operator [Formula: see text] are tabulated for the pn, dn and fn configurations. These tables have been calculated from the Racah formalism and form an extension of the tabulations given by Nielson and Koster for K2 = 1. The relationship of this tensor with the other double tensors and the calculation of the matrix elements is summarized. See Chatterjee et al for an application.

scholarly journals Crystal Field Effects in S-state Ions Due to Exchange Polarization

1976 ◽  
Vol 29 (3) ◽  
pp. 177 ◽  
Author(s):  
DJ Newman
Keyword(s):  
Crystal Field ◽  
Electron Correlation ◽  
Ground State ◽  
Matrix Elements ◽  
Open Shells ◽  
The Matrix ◽  
New Type ◽  
Relationship Of ◽  
The Relationship ◽  
Exchange Polarization

It is shown that the matrix elements of the tensor operators describing a new type of crystal field can be calculated using the properties of the spin ~ quasi-spin transformation. The relationship of this field to electron correlation in open shells is clarified, and its contribution to the ground state splittings of S-state ions is discussed

Parity, time, charge and Hermitian conjugations of Racah tensor operators

1983 ◽  
Vol 61 (12) ◽  
pp. 1613-1617 ◽  
Author(s):  
R. Chatterjee ◽  
J. A. Tuszyński ◽  
H. A. Buckmaster
Keyword(s):  
Magnetic Properties ◽  
Electric Properties ◽  
Tensor Operator ◽  
Matrix Elements ◽  
Selection Rules ◽  
Angular Momenta ◽  
The Matrix ◽  
Polar Tensor ◽  
The Relationship ◽  
Tensor Operators

The relationship between the parity P, time θ, charge C, and Hermitian h conjugation operators and the irreducible Racah tensor operators is reexamined. Polar tensor operators (describing electric properties) are distinguished from axial tensor operators (describing magnetic properties and angular momenta) on the basis of their individual parity and time conjugation properties. However, the effect of the Pθ product conjugation is identical for both classes and for even rank is equivalent to the Racah definition for the Hermitian conjugation of a tensor operator. It is shown that this property separates the Racah tensor operators from other vector quantities like linear momentum which cannot be represented by such operators. The selection rules due to parity and time conjugation and Hermitian conjugation that arise in the calculation of the matrix elements of the tensor operators and their products are then obtained self-consistently using the Wigner–Eckart theorem.

scholarly journals “Jacob y el otro”: a la luz del cine (Apolo)

2018 ◽  
Vol 5 (9) ◽  
pp. 253-273
Author(s):  
Armando Escobar
Keyword(s):  
American Literature ◽  
Latin American ◽  
Latin American Literature ◽  
The Other ◽  
Juan Carlos Onetti ◽  
The Many ◽  
Relationship Of ◽  
The Relationship

The relationship between Uruguayan writer Juan Carlos Onetti and the cinema is extensive and. When we analyze one of the many adaptations of his work, we have to consider that it is a relationship of double influence, since our author has also take from the cinema to develop one of the most extensive and essential works of Latin American literature. For this reason, it is increasingly common to find interpretations that propose a cinematic reading of Onetti's work. As part of a similar exercise, we propose to read the story "Jacob and the Other" (1961) in the light of his adaptation to the cinema made by Álvaro Brechner in Un mal día para pescar (2009). In doing so, Onetti's tale obtains new interpretations that can be reached by analyzing it with the eyes of the cinema.

Correlating the axial Zero Field Splitting with the slow magnetic relaxation in GdIII SIMs

2021 ◽  
Author(s):  
Júlia Mayans ◽  
Albert Escuer
Keyword(s):  
Magnetic Relaxation ◽  
Zero Field ◽  
Zero Field Splitting ◽  
Field Splitting ◽  
Slow Magnetic Relaxation

A possible relation between the value of the axial Zero Field Splitting and the occurrence of field-induced slow magnetic relaxation has been established for a new gadolinium(iii) compound.

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