\(\mathfrak{D}\)-differentiation in Hilbert space and the structure of quantum mechanics. II: Accelerated observers and fictitious forces

DOI10.1007/s10701-010-9509-0zbMath1214.81080OpenAlexW1999431049MaRDI QIDQ537923

Michael A. Vandyck, Donal J. Hurley

Publication date: 23 May 2011

Published in: Foundations of Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10701-010-9509-0

zbMATH Keywords

Schrödinger's equationfictitious forcesGalilean transformations

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10)

Related Items (3)

A minimal framework for non-commutative quantum mechanics ⋮ A NEW GEOMETRICAL FRAMEWORK FOR THE DE BROGLIE–BOHM QUANTUM THEORY ⋮ A formulation of Newton–Cartan gravity and quantum mechanics using D-differentiation

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• FIBRE BUNDLE FORMULATION OF NONRELATIVISTIC QUANTUM MECHANICS V: INTERPRETATION, SUMMARY AND DISCUSSION
• Topics in differential geometry. A new approach using \(D\)-differentiation

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