Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

3.5K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
3.5K
Differential Form of Maxwell's Equations01:17

Differential Form of Maxwell's Equations

552
James Clerk Maxwell (1831–1879) was one of the significant contributors to physics in the nineteenth century. He is probably best known for having combined existing knowledge of the laws of electricity and the laws of magnetism with his insights to form a complete overarching electromagnetic theory, represented by Maxwell's equations. The four basic laws of electricity and magnetism were discovered experimentally through the work of physicists such as Oersted, Coulomb, Gauss, and...
552
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.6K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
42.6K
Maxwell's Equation Of Electromagnetism01:29

Maxwell's Equation Of Electromagnetism

3.3K
James Clerk Maxwell (1831–1879) was one of the major contributors to physics in the nineteenth century. Although he died young, he made major contributions to the development of the kinetic theory of gases, to the understanding of color vision, and to understanding the nature of Saturn's rings. He is probably best known for having combined existing knowledge on the laws of electricity and magnetism with his insights into a complete overarching electromagnetic theory, which is...
3.3K
Maxwell's Thermodynamic Relations01:23

Maxwell's Thermodynamic Relations

3.1K
Maxwell's thermodynamic relations are very useful in solving problems in thermodynamics. Each of Maxwell's relations relates a partial differential between quantities that can be hard to measure experimentally to a partial differential between quantities that can be easily measured. These relations are a set of equations derivable from the symmetry of the second derivatives and the thermodynamic potentials.
All thermodynamic potentials are exact differentials. Therefore, their second-order...
3.1K
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

1.2K
Maxwell's equations for electromagnetic fields are related to source charges, either static or moving. These fields act on a test charge, whose trajectory can thus be determined using suitable boundary conditions. The objective of electromagnetism is thus theoretically complete.
However, although electric and magnetic fields were first introduced as mathematical constructs to simplify the description of mutual forces between charges, a natural question emerges from Maxwell's equations:...
1.2K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Experimentally Realizable PT Phase Transitions in Reflectionless Quantum Scattering.

Physical review letters·2023
Same author

Two-Dimensional Pulse Propagation without Anomalous Dispersion.

Physical review letters·2017
Same author

Hamiltonian for the Zeros of the Riemann Zeta Function.

Physical review letters·2017
Same author

Infinite class of PT-symmetric theories from one timelike Liouville Lagrangian.

Physical review letters·2014
Same author

Generation of families of spectra in PT-symmetric quantum mechanics and scalar bosonic field theory.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2013
Same author

PT-symmetric quantum state discrimination.

Philosophical transactions. Series A, Mathematical, physical, and engineering sciences·2013
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Aug 5, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K

Underdetermined Dyson-Schwinger Equations.

Carl M Bender1, Christos Karapoulitidis2, S P Klevansky2

  • 1Department of Physics, Washington University, St. Louis, Missouri 63130, USA.

Physical Review Letters
|March 24, 2023
PubMed
Summary
This summary is machine-generated.

The Dyson-Schwinger equations offer a calculational approach in quantum field theory but require truncation. Truncated Dyson-Schwinger equations provide approximations that slowly converge but consistently differ from exact values by a few percent.

More Related Videos

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K
Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
08:54

Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

Published on: January 25, 2020

5.7K

Related Experiment Videos

Last Updated: Aug 5, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.6K
An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

8.6K
Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
08:54

Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid

Published on: January 25, 2020

5.7K

Area of Science:

  • Theoretical physics
  • Quantum field theory

Background:

  • The Dyson-Schwinger equations are an exact, infinite set of coupled equations for Green's functions in quantum field theory.
  • Truncating these equations results in an underdetermined system, necessitating approximation methods.

Purpose of the Study:

  • To evaluate the effectiveness of truncated Dyson-Schwinger equations as a computational tool.
  • To assess the accuracy of approximations derived from truncating these equations.

Main Methods:

  • Studied five D=0 models: Hermitian ϕ⁴, ϕ⁶ and non-Hermitian iϕ³, -ϕ⁴, iϕ⁵ theories.
  • Employed a simple truncation scheme by setting higher Green's functions to zero.
  • Investigated mean-field-like approximations for more sophisticated truncation.

Main Results:

  • Truncated Dyson-Schwinger equations yield approximants that exhibit slow convergence.
  • The limiting values obtained from truncation consistently deviate from exact solutions by a small percentage.
  • Advanced truncation schemes did not resolve the accuracy limitations.

Conclusions:

  • While Dyson-Schwinger equations are exact, their practical application via truncation introduces persistent inaccuracies.
  • The studied truncation methods, including mean-field approaches, do not fully overcome the calculational challenges for achieving high precision.