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Emergence of the Quantum From the Classical: Mathematical Aspects of Quantum Processes.


Emergence of the Quantum From the Classical: Mathematical Aspects of Quantum Processes

Maurice de Gosson

World Scientific


285 pages




Gosson (University of Vienna) proposes new concepts from symplectic topology as the proper setup for a better understanding of the twilight zone between quantum and classical properties, and shows how symplectic geometry and its topological extensions allow physicists to state and prove a classical multi-dimensional uncertainty principle formally similar to the quantum uncertainty relations. The opening chapters review the basics of Hamiltonian mechanics in its Hamiltonian formulation with a strong emphasis on the symplectic character of Hamiltonian flows. Appendices prove some results from the theory of the metaplectic group and the composition formula for Weyl operators. ([umlaut] Ringgold, Inc., Portland, OR)

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Title Annotation:Maurice de Gosson
Article Type:Book review
Date:Jan 1, 2018
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