Naturalness of the space of states in quantum mechanics

DOI10.1007/BF02435791zbMath0884.58006MaRDI QIDQ1357841

Marcelo A. Aguilar, Miguel Socolovsky

Publication date: 16 June 1997

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

universal connectioninfinite-dimensional projective Hilbert bundle

Mathematics Subject Classification ID

Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Homotopy and topological questions for infinite-dimensional manifolds (58B05) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (1)

Quantum superposition principle and geometry

Cites Work

• Construction of universal bundles. II
• Manifolds, tensor analysis, and applications.
• Classification theorem for principal fibre bundles, Berry's phase, and exact cyclic evolution
• Homotopy theory of infinite dimensional manifolds
• Partitions of unity in the theory of fibrations
• Quantal phase factors accompanying adiabatic changes
• Field quantization for pure and mixed states and its classical limit
• Characteristic Classes. (AM-76)
• Existence of Universal Connections
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