Emergence of the Quantum from the Classical ─ Mathematical Aspects of Quantum Processes

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. Annotation ©2018 Ringgold, Inc., Portland, OR (protoview.com)