Clifford algebras and the Dirac-Bohm quantum Hamilton-Jacobi equation

DOI10.1007/s10701-011-9558-zzbMath1241.81088OpenAlexW2088170668WikidataQ64357943 ScholiaQ64357943MaRDI QIDQ421214

R. E. Callaghan, Basil J. Hiley

Publication date: 23 May 2012

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

Full work available at URL: https://doi.org/10.1007/s10701-011-9558-z

zbMATH Keywords

Clifford algebrasrelativistic quantum potentialSchrödinger, Pauli and relativistic Dirac-Bohm modelspin evolution

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) Clifford algebras, spinors (15A66) Hamilton-Jacobi equations in mechanics (70H20) Stochastic mechanics (including stochastic electrodynamics) (81P20) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (14)

The relativistic Hamilton-Jacobi equation for a massive, charged and spinning particle, its equivalent Dirac equation and the de Broglie-Bohm theory ⋮ The role of geometric and dynamical phases in the Dirac-Bohm picture ⋮ Being, becoming and the undivided universe: a dialogue between relational blockworld and the implicate order concerning the unification of relativity and quantum theory ⋮ Clifford algebras in symplectic geometry and quantum mechanics ⋮ Two-state quantum systems revisited: a Clifford algebra approach ⋮ The isotopic field-charge assumption applied to the electromagnetic interaction ⋮ General dynamics of spinors ⋮ The Dirac-Hestenes equation and its relation with the relativistic de Broglie-Bohm theory ⋮ General-relativistic wave–particle duality with torsion ⋮ Gravitational quantum dynamics: a geometrical perspective ⋮ Spacetime algebra as a powerful tool for electromagnetism ⋮ Does Bohm's quantum force have a classical origin? ⋮ Some clarifications about the Bohmian geodesic deviation equation and Raychaudhuri’s equation ⋮ Quantum Trajectories: Dirac, Moyal and Bohm

Cites Work

• New foundations for classical mechanics
• Differential forms. With applications to the physical sciences
• Process, Distinction, Groupoids and Clifford Algebras: an Alternative View of the Quantum Formalism
• A non-local, Lorentz-invariant, hidden-variable interpretation of relativistic quantum mechanics based on particle trajectories
• A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Clifford algebras and the Dirac-Bohm quantum Hamilton-Jacobi equation