CLASSICAL TENSORS FROM QUANTUM STATES

DOI10.1142/S0219887809003576zbMath1169.81016arXiv0807.2161MaRDI QIDQ3636441

Georg Friedrich Volkert, Paolo Aniello, Giuseppe Marmo

Publication date: 30 June 2009

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

Full work available at URL: https://arxiv.org/abs/0807.2161

zbMATH Keywords

Kähler manifoldcoherent statesgeometric quantum mechanics

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Coherent states (81R30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)

Related Items

CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT I: PURE STATES, CLASSICAL TENSORS AND QUANTUM ENTANGLEMENT II: MIXED STATES

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analytic vectors
• The distance between classical and quantum systems
• Riemannian structure on manifolds of quantum states
• The Riemannian structure on the states of quantum-like systems
• Quantization without quantization
• Hilbert space representations of Lie algebras
• Coherent states for arbitrary Lie group
• Postulates for general quantum mechanics
• On unitary ray representations of continuous groups
• Representation of Elliptic Operators in an Enveloping Algebra
• Normal pure states of the von Neumann algebra of bounded operators as Kahler manifold
• Quantal phase factors accompanying adiabatic changes
• Aspetti geometrici dei sistemi di tipo quantistico
• A note on coherent state representations of Lie groups
• Alternative structures and bi-Hamiltonian systems
• QUANTUM BI-HAMILTONIAN SYSTEMS
• Complex Coordinates and Quantum Mechanics
• Quantum Mechanics and Hilbert Space
• Geometry of quantum systems: density states and entanglement
• On the Analogy Between Classical and Quantum Mechanics
• Geometric quantum mechanics