Geometric Hamiltonian quantum mechanics and applications

DOI10.1142/S0219887816300178zbMath1351.81056MaRDI QIDQ2833148

Davide Pastorello

Publication date: 16 November 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

complex projective spaceHamiltonian mechanicsgeometric quantum mechanics

Mathematics Subject Classification ID

Hamilton's equations (70H05) Kähler manifolds (32Q15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Deformation quantization, star products (53D55) Geometric constructions in real or complex geometry (51M15) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Cites Work

• Unnamed Item
• Unnamed Item
• Typical states and density matrices
• Frame functions in finite-dimensional quantum mechanics and its Hamiltonian formulation on complex projective spaces
• Segre maps and entanglement for multipartite systems of indistinguishable particles
• A geometric Hamiltonian description of composite quantum systems and quantum entanglement
• Geometric Hamiltonian formulation of quantum mechanics in complex projective spaces
• Geometrical description of algebraic structures: Applications to Quantum Mechanics
• BASICS OF QUANTUM MECHANICS, GEOMETRIZATION AND SOME APPLICATIONS TO QUANTUM INFORMATION

This page was built for publication: Geometric Hamiltonian quantum mechanics and applications