Multi-time Schrödinger equations cannot contain interaction potentials
From MaRDI portal
Publication:5414836
DOI10.1063/1.4867524zbMath1374.81048arXiv1308.1065OpenAlexW2059322485WikidataQ62036704 ScholiaQ62036704MaRDI QIDQ5414836
Roderich Tumulka, Sören Petrat
Publication date: 7 May 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1308.1065
Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Systems of linear higher-order PDEs (35G35)
Related Items
Integrable time-dependent Hamiltonians, solvable Landau-Zener models and Gaudin magnets ⋮ Multi-time wave functions for quantum field theory ⋮ Consistency of multi-time Dirac equations with general interaction potentials ⋮ 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 ⋮ A Lorentz-covariant interacting electron-photon system in one space dimension ⋮ 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 ⋮ 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
- Multi-time wave functions for quantum field theory
- Non-abelian Stokes formula
- The effect of submanifolds upon essential self-adjointness and deficiency indices
- Essential self-adjointness of powers of generators of hyperbolic equations
- Relativistic quantum mechanics
- Multi-time equations, classical and quantum
- Multi-time formulation of pair creation
- A Relativistic Equation for Bound-State Problems
- The Relativistic Configuration Space Formulation of the Multi-Electron Problem
This page was built for publication: Multi-time Schrödinger equations cannot contain interaction potentials