Phase-fixed double-group 3-? symbols. I. A novel exposition of the general theory of 3-? symbols and coupling coefficients

1984 ◽  
Vol 65 (5-6) ◽  
pp. 317-363 ◽  
Author(s):  
Ture Damhus ◽  
Sven E. Harnung ◽  
Claus E. Sch�ffer
Keyword(s):  
General Theory ◽  
Coupling Coefficients ◽  
Group 3 ◽  
Double Group

Phase-fixed double-group 3-? symbols. III. Real 3-? symbols and coupling coefficients for the dihedral double groups

1984 ◽  
Vol 65 (5-6) ◽  
pp. 389-404 ◽  
Author(s):  
Ture Damhus ◽  
Sven E. Harnung ◽  
Claus E. Sch�ffer
Keyword(s):  
Coupling Coefficients ◽  
Group 3 ◽  
Double Group

Phase-fixed double-group 3-? symbols. VI. Real 3-? symbols and coupling coefficients for the group hierarchy I *? C 5 *

1984 ◽  
Vol 65 (5-6) ◽  
pp. 433-447 ◽  
Author(s):  
Ture Damhus ◽  
Sven E. Harnung ◽  
Claus E. Sch�ffer
Keyword(s):  
Coupling Coefficients ◽  
Group 3 ◽  
Group Hierarchy ◽  
Double Group

Coupling coefficients: General theory

1979 ◽  
Vol 20 (7) ◽  
pp. 1562-1565 ◽  
Author(s):  
R. Dirl
Keyword(s):  
General Theory ◽  
Coupling Coefficients

Phase-fixed double-group 3-? symbols. II. General features of double groups and their 3-? symbols

1984 ◽  
Vol 65 (5-6) ◽  
pp. 365-387 ◽  
Author(s):  
Ture Damhus ◽  
Sven E. Harnung ◽  
Claus E. Sch�ffer
Keyword(s):  
Group 3 ◽  
Double Group

Electronic wave functions: VI. Some theorems facilitating the evaluation of Schrödinger integrals of vector-coupled functions

1952 ◽  
Vol 245 (893) ◽  
pp. 95-115 ◽  
Keyword(s):  
General Theory ◽  
Wave Functions ◽  
Coupling Coefficients ◽  
Restricted Class ◽  
Vector Coupling ◽  
Electronic Wave ◽  
Atomic Wave ◽  
Variational Calculations ◽  
Electronic Wave Functions

The theorems reported here provide some powerful additional relations to the general theory of the reduction of Schrodinger integrals completed in part V. One result of these is to establish a number of relations between the various vector-coupling coefficients and thus to reduce considerably the labour of calculation of these. A second result is to provide a method of evaluating the two-electron electrostatic integrals which is a complete alternative to the c k method which has generally been used previously. This appears to be simpler and more powerful. A third result is only applicable to a restricted class of integrals and only to particular terms in the formulas for these, but where applicable it makes trivial the evaluation of the terms concerned and actually simplifies about three-quarters of the integrals normally occurring. These methods have been found to be extremely useful in the convergent variational calculations of atomic wave functions, and will also be applicable to all problems which require the evaluation of Schrödinger integrals between vector-coupled functions.

Three-wave coupling coefficients for MHD plasmas

1988 ◽  
Vol 39 (2) ◽  
pp. 277-284 ◽  
Author(s):  
G. Brodin ◽  
L. Stenflo
Keyword(s):  
General Theory ◽  
Resonant Interaction ◽  
Alfven Waves ◽  
Alfven Wave ◽  
Magnetosonic Wave ◽  
Mhd Waves ◽  
Alfvén Waves ◽  
Coupling Coefficients ◽  
Wave Coupling ◽  
Explicit Expressions

By reconsidering the general theory for the resonant interaction of three waves in a plasma, we find explicit expressions for the coupling coefficients for three MHD waves. In particular we demonstrate that the interaction between two magnetosonic waves and one Alfvén wave, as well as the interaction between two Alfvén waves and one magnetosonic wave, can be described by very simple formulae for the coupling coefficients.

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

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