Multi-Time Equations, Classical and Quantum

Abstract

Multi-time equations are evolution equations involving several time variables, one for each particle. Such equations have been considered for the purpose of making theories manifestly Lorentz invariant. We compare their status and significance in classical and quantum physics.

8 pages, LaTex; v2: minor improvements

References in corpus (6)

• The "Unromantic Pictures" of Quantum Theory
• Multi-Time Wave Functions for Quantum Field Theory
• Multi-Time Schrödinger Equations Cannot Contain Interaction Potentials
• Multi-Time Equations, Classical and Quantum
• Multi-Time Formulation of Pair Creation
• Partial Hamiltonian formalism, multi-time dynamics and singular theories

Cited by in corpus (14)

• A Relativistic Dynamical Collapse Model
• Multi-Time Wave Functions for Quantum Field Theory
• Multi-Time Schrödinger Equations Cannot Contain Interaction Potentials
• Multi-Time Equations, Classical and Quantum
• Multi-Time Formulation of Pair Creation
• Born's Rule for Arbitrary Cauchy Surfaces
• Multi-Time Wave Functions versus Multiple Timelike Dimensions
• Consistency Proof for Multi-Time Schrodinger Equations with Particle Creation and Ultraviolet Cut-Off
• On the question of current conservation for the Two-Body Dirac equations of constraint theory
• Time and probability: From classical mechanics to relativistic Bohmian mechanics
• Multiparticle fields on the subset of simultaneity
• Wheeler-DeWitt quantization for point-particles
• The multi-time propagators and the consistency condition
• A note on multi-time equations in quantum mechanics