Transformation theory of q-quantum mechanics.

Although there is no empirical motivation for replacing the commutators of dynamically conjugate operators in quantum mechanics by q-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. [ABSTRACT FROM AUTHOR]