Physical Sciences and Mathematics Commons^™

Conformal Transformations In Quantum Mechanics, Alec Schramm, Alfons Stahlhofen

Alec J Schramm

We discuss the occurrence of orientation- or area-preserving diffeomorphism groups in quantum mechanics. We show that the generators of these groups are contained in the generators of the symmetry group of a central potential, as is demonstrated by the example of the Coulomb problem. Our approach is based on the recently introduced concept of a factor space of scattering states.