A new class of Volterra-type integral equations from relativistic quantum physics

DOI10.1216/JIE-2019-31-4-535zbMath1445.45005arXiv1803.08792MaRDI QIDQ2297065

Matthias Lienert, Roderich Tumulka

Publication date: 18 February 2020

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.08792

zbMATH Keywords

singular integral equationstime delayrelativistic quantum mechanicsBethe-Salpeter equationmulti-time wave functionsmulti-dimensional Volterra integral equations

Mathematics Subject Classification ID

Volterra integral equations (45D05) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40) Singular integral equations (45E99)

Related Items (6)

Numerical solution of non-linear Volterra integral equation of the first kind ⋮ Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity ⋮ 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 ⋮ Numerical solution of Volterra-Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials ⋮ A numerical algorithm for a class of nonlinear fractional Volterra integral equations via modified hat functions

Cites Work

• On some Gronwall-type integral inequalities in \(n\) independent variables
• Multi-time wave functions versus multiple timelike dimensions
• Systems of multidimensional volterra integral equations and inequalities
• Relativistic quantum mechanics
• Note on Positronium
• Singular integral equations in the bound-state problem
• Interacting relativistic quantum dynamics of two particles on spacetimes with a Big Bang singularity
• Quantum Electrodynamics. I. A Covariant Formulation
• Classical Electrodynamics in Terms of Direct Interparticle Action
• On a Relativistically Invariant Formulation of the Quantum Theory of Wave Fields*
• A Relativistic Equation for Bound-State Problems
• Properties of Bethe-Salpeter Wave Functions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A new class of Volterra-type integral equations from relativistic quantum physics