Observable Effects of the Uncertainty Relations in the Covariant Phase Space Representation of Quantum Mechanics

1989 ◽  
pp. 137-146
Author(s):  
Y. S. Kim
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Space Representation ◽  
Uncertainty Relations ◽  
Phase Space Representation

scholarly journals Dispersion Operators Algebra and Linear Canonical Transformations

2016 ◽  
Author(s):  
Raoelina Andriambololona ◽  
Ravo Tokiniaina Raymond Ranaivoson ◽  
Hasimbola Damo Emile Randriamisy ◽  
Hanitriarivo Rakotoson
Keyword(s):  
Quantum Mechanics ◽  
Phase Space ◽  
Lie Algebra ◽  
Canonical Transformation ◽  
Space Representation ◽  
Canonical Transformations ◽  
Linear Canonical Transformation ◽  
Multidimensional Generalization ◽  
Phase Space Representation ◽  
Operators Algebra

This work intends to present a study on relations between a Lie algebra called dispersion operators algebra, linear canonical transformation and a phase space representation of quantum mechanics that we have introduced and studied in previous works. The paper begins with a brief recall of our previous works followed by the description of the dispersion operators algebra which is performed in the framework of the phase space representation. Then, linear canonical transformations are introduced and linked with this algebra. A multidimensional generalization of the obtained results is given.

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