UNIFORMLY ANTISYMMETRIC FUNCTIONS I

1993 ◽  
Vol 19 (1) ◽  
pp. 52
Author(s):  
Ciesielski ◽  
Larson
Keyword(s):  
Antisymmetric Functions

scholarly journals UNIFORMLY ANTISYMMETRIC FUNCTIONS WITH BOUNDED RANGE

1998 ◽  
Vol 24 (2) ◽  
pp. 615 ◽  
Author(s):  
Ciesielski ◽  
Shelah
Keyword(s):  
Antisymmetric Functions

Antisymmetric Functions and Slater Determinants

1962 ◽  
Vol 3 (3) ◽  
pp. 531-539 ◽  
Author(s):  
Leslie L. Foldy
Keyword(s):  
Antisymmetric Functions

ON THE DEGENERACY PROBLEM IN SU(3)

1966 ◽  
Vol 44 (11) ◽  
pp. 2789-2795 ◽  
Author(s):  
C. K. Chew ◽  
R. T. Sharp
Keyword(s):  
Simple Form ◽  
Casimir Operator ◽  
Recent Suggestion ◽  
The Matrix ◽  
Casimir Operators ◽  
Antisymmetric Functions ◽  
Degeneracy Problem

The recent suggestion of Macfarlane, O'Raifeartaigh, and Rao that mixed Casimir operators be used to resolve the external degeneracy problem is applied to the group SU(3). The significant operator is the part of the cubic mixed Casimir operator which is antisymmetric with respect to the two factor spaces and also with respect to starred and unstarred variables. The matrix of this operator is derived with respect to a convenient set of functions and is found to have a simple form. The eigenfunctions are simply related to the usual symmetric and antisymmetric functions in the case of degeneracy 2 with equal factor representations.

scholarly journals UNIFORMLY ANTISYMMETRIC FUNCTIONS AND K₅

1995 ◽  
Vol 21 (1) ◽  
pp. 147 ◽  
Author(s):  
Ciesielski
Keyword(s):  
Antisymmetric Functions

Electronic wave functions V. Systematic reduction methods for all Schrödinger integrals of conventional systems of antisymmetric vector-coupled functions

1951 ◽  
Vol 207 (1089) ◽  
pp. 197-215 ◽  
Keyword(s):  
Wave Functions ◽  
Reduction Scheme ◽  
Vector Coupling ◽  
Reduction Methods ◽  
Electronic Wave Functions ◽  
Antisymmetric Functions ◽  
Conventional Systems ◽  
Equivalent Electron ◽  
Systematic Reduction ◽  
Different Levels

Analyses on the expansion of equivalent electron functions, on changes in the order of vector coupling, and on the calculation of the V coefficients of part IV are reported. These are of practical value, but their chief importance lies in the fact that they complete a series of theorems which makes it possible to formulate a general reduction scheme for all Schrödinger integrals between antisymmetric functions formed by the vector coupling of equivalent electron functions. This completes the derivation of the integral reduction methods required for the converging calculations of atomic wave functions. The methods will also be applicable to other problems at different levels of accuracy.

ON RANGE OF UNIFORMLY ANTISYMMETRIC FUNCTIONS

1993 ◽  
Vol 19 (2) ◽  
pp. 616
Author(s):  
Ciesielski
Keyword(s):  
Antisymmetric Functions

scholarly journals Crossing antisymmetric Polyakov blocks + dispersion relation

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Apratim Kaviraj
Keyword(s):  
Dispersion Relation ◽  
Global Symmetries ◽  
Correlation Functions ◽  
Sum Rules ◽  
Symmetric Case ◽  
Global Symmetry ◽  
Analytic Functionals ◽  
Antisymmetric Functions

Abstract Many CFT problems, e.g. ones with global symmetries, have correlation functions with a crossing antisymmetric sector. We show that such a crossing antisymmetric function can be expanded in terms of manifestly crossing antisymmetric objects, which we call the ‘+ type Polyakov blocks’. These blocks are built from AdSd+1 Witten diagrams. In 1d they encode the ‘+ type’ analytic functionals which act on crossing antisymmetric functions. In general d we establish this Witten diagram basis from a crossing antisymmetric dispersion relation in Mellin space. Analogous to the crossing symmetric case, the dispersion relation imposes a set of independent ‘locality constraints’ in addition to the usual CFT sum rules given by the ‘Polyakov conditions’. We use the Polyakov blocks to simplify more general analytic functionals in d > 1 and global symmetry functionals.

UNIFORMLY ANTISYMMETRIC FUNCTIONS II

1993 ◽  
Vol 19 (1) ◽  
pp. 54
Author(s):  
Ciesielski
Keyword(s):  
Antisymmetric Functions
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