Gerald Goldin
Quantum Mechanics without Quantization
I shall discuss foundational reasons why a certain infinite-dimensional semidirect product group serves as a universal kinematical group for quantum mechanics. This provides a unifying account of all possible quantum kinematics for systems with mass in an arbitrary physical space, and clarifies the role of topology. Our development does not require quantization of any classical phase space; rather, the classical limit follows from the quantum mechanics. My talk is based on joint work with David H. Sharp, Los Alamos National Laboratory.
