Quantum versus Classical Mechanics and Integrability Problems towards a unification of approaches and tools /

• Main Author: Błaszak, Maciej (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Subjects: Quantum physics.; Mathematical physics.; Mechanics.; Quantum Physics.; Mathematical Physics.; Classical Mechanics.

This accessible monograph introduces physicists to the general relation between classical and quantum mechanics based on the mathematical idea of deformation quantization and describes an original approach to the theory of quantum integrable systems developed by the author. The first goal of the boo...

Table of Contents:

• Introduction
• Basic Mathematical Tools
• Classical Hamiltonian Mechanics
• Classical Integrable and Separable Hamiltonian Systems
• Classical Separability Theory
• Deformation Theory of Classical Poisson Algebras
• Quantum Hamiltonian Mechanics on Symplectic Manifolds
• Position Representation of Quantum Mechanics over Riemannian Configuration Space
• References
• Index.