Multi-time formulation of pair creation

DOI10.1088/1751-8113/47/11/112001zbMath1286.81069arXiv1401.6093OpenAlexW3102974608WikidataQ62036705 ScholiaQ62036705MaRDI QIDQ5408855

Roderich Tumulka, Sören Petrat

Publication date: 11 April 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.6093

zbMATH Keywords

Dirac equationrelativistic quantum theorymulti-time wave functionmodel quantum field theorymulti-time Schrödinger equationpair creation and annihilation

Mathematics Subject Classification ID

Model quantum field theories (81T10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory; related classical field theories (81T99) General mathematical topics and methods in quantum theory (81Q99) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (11)

Another proof of Born's rule on arbitrary Cauchy surfaces ⋮ Multi-time wave functions for quantum field theory ⋮ Consistency of multi-time Dirac equations with general interaction potentials ⋮ 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 ⋮ 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 ⋮ 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

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