Consistency of multi-time Dirac equations with general interaction potentials
From MaRDI portal
Publication:3185699
DOI10.1063/1.4954947zbMath1350.81006arXiv1603.02538OpenAlexW2294438367MaRDI QIDQ3185699
Lukas Nickel, Dirk-André Deckert
Publication date: 4 August 2016
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1603.02538
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Many-body theory; quantum Hall effect (81V70) Coherent states (81R30) Special relativity (83A05)
Related Items
Another proof of Born's rule on arbitrary Cauchy surfaces, Characterization of efficient solutions for a class of PDE-constrained vector control problems, 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, 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, Born's rule for arbitrary Cauchy surfaces, 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multi-time wave functions for quantum field theory
- Avoiding Ultraviolet Divergence by Means of Interior–Boundary Conditions
- Dirac equation with external potential and initial data on Cauchy surfaces
- Particle creation and annihilation at interior boundaries: one-dimensional models
- A simple explicitly solvable interacting relativistic N-particle model
- On the question of current conservation for the two-body Dirac equations of constraint theory
- Relativistic quantum mechanics
- A relativistically interacting exactly solvable multi-time model for two massless Dirac particles in 1 + 1 dimensions
- Multi-time formulation of pair creation
- Multi-time Schrödinger equations cannot contain interaction potentials
- A General Survey of the Theory of the Bethe-Salpeter Equation
- On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
- A Relativistic Equation for Bound-State Problems
- A Theorem on Holonomy
