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On geometric ideas which lie at the foundation of quantum theory

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Publication:599449
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DOI10.1016/0001-8708(79)90041-0zbMath0414.60100OpenAlexW2075920258MaRDI QIDQ599449

David Shale

Publication date: 1979

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(79)90041-0

zbMATH Keywords

quantum mechanicsBorn approximationFeynman integralfoundation of quantum theory


Mathematics Subject Classification ID

Brownian motion (60J65) Special processes (60K99) Quantum equilibrium statistical mechanics (general) (82B10) Stochastic integrals (60H05)


Related Items

Random functions of Poisson type, Discrete quantum mechanics



Cites Work

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  • Analysis over discrete spaces
  • Random functions of Poisson type
  • Wiener processes. II
  • Absolute continuity of Wiener processes
  • A nonstandard representation for Brownian motion and Itô integration
  • Internal set theory: A new approach to nonstandard analysis
  • Wiener and integration in function spaces
  • Space-Time Approach to Non-Relativistic Quantum Mechanics
  • Algebraic integration theory
  • The Statistical Interpretation of Quantum Mechanics
  • The Theory of Positrons
  • Space-Time Approach to Quantum Electrodynamics
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