Quantum theory from Hamilton's Principle with imperfect information

Details Quantum theory from Hamilton's Principle with imperfect information Quantum theory from Hamilton's Principle with imperfect information

2007-04-16

arxiv.org/abs/0704.2078v1

Physics

Quantum Physics

4 pages, 3 figures

Scientific paper

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.

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