Geometric Hamiltonian formulation of quantum mechanics in complex projective spaces

DOI10.1142/S0219887815600154zbMath1331.81173MaRDI QIDQ3465831

Davide Pastorello

Publication date: 22 January 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

Kähler manifolds (32Q15) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Synthetic treatment of fundamental manifolds in projective geometries (Grassmannians, Veronesians and their generalizations) (51M35)

Related Items (2)

A geometric approach to quantum control in projective Hilbert spaces ⋮ Geometric Hamiltonian quantum mechanics and applications

Cites Work

• Generalized complex spherical harmonics, frame functions, and Gleason theorem
• The logic of quantum mechanics
• Spectral Theory and Quantum Mechanics
• Geometrization of quantum mechanics
• Geometric quantum mechanics

This page was built for publication: Geometric Hamiltonian formulation of quantum mechanics in complex projective spaces