Quantum theory from Hamilton's Principle with imperfect information

Abstract

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.

4 pages, 3 figures

References in corpus (2)

• Path integrals from classical momentum paths
• A generalized form of Hamilton's principle