2007/04/16 by John Hegseth, Hegseth, John
Physics and Astronomy · #Mechanical and Optical Resonators #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #quant-ph
paper · pdf · doi:10.48550/arxiv.0704.2078
4 pages, 3 figures
arxiv created 2007/04/16 · arxiv updated 2009/12/01
Many quantization schemes rely on analogs of classical mechanics where the connections with classical mechanics are indirect. In this work I propose a new and direct connection between classical mechanics and quantum mechanics where the quantum mechanical propagator is derived from a variational principle. This principle allows a physical system to have imperfect information, i.e., there is incomplete knowledge of the physical state, and many paths are allowed.