Abstract
Although there is no empirical motivation for replacing the commutators of dynamically conjugate operators in quantum mechanics byq-commutators, it appears possible to construct a consistent mathematical formulism based on this idea. To examine such a possibility further, we have studied the relation of this proposal to the Schwinger action principle, since the entire quantum mechanical formulism may be inferred from this principle. In particular, we have discussed the quantum transformation theory within this framework.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Finkelstein, R. and Marcus, E.: Transformation theory of theq-oscillator, UCLA Preprint UCLA/94/TEP/32,J. Math. Phys., in press.
Schwinger, J.:Quantum Kinematics and Dynamics, W. A. Benjamin, New York, 1970.
Woronowicz, S.,Comm. Math. Phys. 111 (1987), 613.
Author information
Authors and Affiliations
Additional information
To Julian Schwinger, 1918–1994, one of the creators of quantum field theory, and a giant of twentieth-century physics