Multi-time wave functions for quantum field theory

DOI10.1016/j.aop.2014.03.004zbMath1343.81119arXiv1309.0802OpenAlexW2026688490WikidataQ62036701 ScholiaQ62036701MaRDI QIDQ307084

Roderich Tumulka, Sören Petrat

Publication date: 1 September 2016

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

Full work available at URL: https://arxiv.org/abs/1309.0802

zbMATH Keywords

consistent multi-time Schrödinger equationsmany-time formalismparticle-position representation of quantum staterelativistic wave functionTomonaga-Schwinger equation

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81T99) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items

A minimalist approach to conceptualization of time in quantum theory, Another proof of Born's rule on arbitrary Cauchy surfaces, Multi-time wave functions for quantum field theory, Simultaneous vs. non-simultaneous measurements in quantum and classical mechanics, Consistency of multi-time Dirac equations with general interaction potentials, Characterization of efficient solutions for a class of PDE-constrained vector control problems, On the description of subsystems in relativistic hypersurface Bohmian mechanics, Multi-time formulation of particle creation and annihilation via interior-boundary conditions, Multi-time wave functions versus multiple timelike dimensions, Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity, Bohmian trajectories for a time foliation with kinks, A Lorentz-covariant interacting electron-photon system in one space dimension, Higher-order Hamilton dynamics and Hamilton-Jacobi divergence PDE, Constrained variational problems governed by second-order Lagrangians, Bohmian mechanics for a degenerate time foliation, Born's rule for arbitrary Cauchy surfaces, Multi-time Schrödinger equations cannot contain interaction potentials, Consistency proof for multi-time Schrödinger equations with particle creation and ultraviolet cut-off, Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions, Existence of relativistic dynamics for two directly interacting Dirac particles in 1 + 3 dimensions, Multi-time dynamics of the Dirac-Fock-Podolsky model of QED, Bohmian mechanics at space-time singularities. I: Timelike singularities, A relativistically interacting exactly solvable multi-time model for two massless Dirac particles in 1 + 1 dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multi-time wave functions for quantum field theory
• QFT AS PILOT-WAVE THEORY OF PARTICLE CREATION AND DESTRUCTION
• Dirac Quantum Fields on a Manifold
• Relativistic quantum mechanics
• Perturbative quantum field theory in the framework of the fermionic projector
• Multi-time equations, classical and quantum
• Multi-time formulation of pair creation
• Multi-time Schrödinger equations cannot contain interaction potentials
• Quantum Electrodynamics. I. A Covariant Formulation
• On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
• The Relativistic Configuration Space Formulation of the Multi-Electron Problem