Position operators as integrals with respect to Euclidean systems of covariance

1982 ◽  
Vol 6 (4) ◽  
pp. 261-269 ◽  
Author(s):  
D. P. L. Castrigiano
Keyword(s):  
Systems Of Covariance

Commutative Systems of Covariance and a Generalization of Mackey's Imprimitivity Theorem

1984 ◽  
Vol 27 (4) ◽  
pp. 390-397 ◽  
Author(s):  
S. Twareque Ali
Keyword(s):  
Positive Operator ◽  
Coherent States ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Systems Of Covariance ◽  
Necessary And Sufficient ◽  
Positive Operator Valued Measure

AbstractTwo results are obtained in this paper. The first is a generalization of the imprimitivity theorem of Mackey, when the associated projection-valued measure is replaced by a commutative positive operator valued measure. The second is a necessary and sufficient condition for such a system of covariance to possess an overcomplete, covariant family of coherent states.

Systems of covariance and subrepresentations of induced representations

1980 ◽  
Vol 4 (3) ◽  
pp. 169-175 ◽  
Author(s):  
D. P. L. Castrigiano ◽  
R. W. Henrichs
Keyword(s):  
Induced Representations ◽  
Systems Of Covariance
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