Quantum theory from Hamilton's Principle with imperfect information

John Hegseth

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arXiv · 0704.2078

Quantum theory from Hamilton's Principle with imperfect information

John Hegseth

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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.

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John Hegseth. 2007-04-16. Quantum theory from Hamilton's Principle with imperfect information. https://arxiv.org/abs/0704.2078

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