How classical is the quantum universe?

Details How classical is the quantum universe? How classical is the quantum universe?

2008-08-20

arxiv.org/abs/0808.2774v1

Physics

Quantum Physics

Scientific paper

We discuss two topics that are usually considered to be exclusively "quantum": the Schroedinger equation, and the uncertainty principle. We show (or rather recall) that the Schroedinger equation can be derived from Hamilton's equations using the metaplectic representation. We also show that the uncertainty principle, stated in the form of the Robertson-Schroedinger-Heisenberg inequalities can be formulated in perfectly classical terms using the topological notion of symplectic capacity.

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