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• W2134133051 abstract "We show that the strong form of Heisenberg’s inequalities due to Robertson and Schrödinger can be formally derived using only classical considerations. This is achieved using a statistical tool known as the “minimum volume ellipsoid” together with the notion of symplectic capacity, which we view as a topological measure of uncertainty invariant under Hamiltonian dynamics. This invariant provides a right measurement tool to define what “quantum scale” is. We take the opportunity to discuss the principle of the symplectic camel, which is at the origin of the definition of symplectic capacities, and which provides an interesting link between classical and quantum physics." @default.
• W2134133051 created "2016-06-24" @default.
• W2134133051 creator A5050598781 @default.
• W2134133051 date "2009-01-17" @default.
• W2134133051 modified "2023-09-27" @default.
• W2134133051 title "The Symplectic Camel and the Uncertainty Principle: The Tip of an Iceberg?" @default.
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• W2134133051 doi "https://doi.org/10.1007/s10701-009-9272-2" @default.
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