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

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

132
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
132
The Small x Assumption02:20

The Small x Assumption

46.8K
If a reaction has a small equilibrium constant, the equilibrium position favors the reactants. In such reactions, a negligible change in concentration may occur if the initial concentrations of reactants are high and the Kc value is small. In such circumstances, the equilibrium concentration is approximately equal to its initial concentration.  This estimation can be used to simplify the equilibrium calculations by assuming that some equilibrium concentrations are equal to the initial...
46.8K
The Swing Equation01:21

The Swing Equation

738
The Swing Equation is a fundamental tool in power system dynamics, especially for analyzing the behavior of generating units like three-phase synchronous generators. This equation emerges from applying Newton's second law to the rotor of a generator, encompassing factors such as inertia, angular acceleration, and the interplay between mechanical and electrical torques.
In a steady-state operation, the mechanical torque (Τm) supplied to the generator is balanced by the electrical torque...
738
Transmission-Line Differential Equations01:26

Transmission-Line Differential Equations

437
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
437
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

49.5K
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.
49.5K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

1.2K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
1.2K

You might also read

Related Articles

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

Sort by
Same author

Erratum: "Anomalous propagators and the particle-particle channel: Bethe-Salpeter equation" [J. Chem. Phys. 162, 134105 (2005)].

The Journal of chemical physics·2026
Same author

Ground and excited-state properties of the extended Hubbard dimer from the multichannel Dyson equation.

The Journal of chemical physics·2025
Same author

Anomalous propagators and the particle-particle channel: Bethe-Salpeter equation.

The Journal of chemical physics·2025
Same author

Multichannel Dyson Equation: Coupling Many-Body Green's Functions.

Physical review letters·2023
Same author

The three channels of many-body perturbation theory: GW, particle-particle, and electron-hole T-matrix self-energies.

The Journal of chemical physics·2023
Same author

DFT exchange: sharing perspectives on the workhorse of quantum chemistry and materials science.

Physical chemistry chemical physics : PCCP·2022

Related Experiment Video

Updated: Sep 25, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.7K

Static and dynamic Bethe-Salpeter equations in the T-matrix approximation.

Pierre-François Loos1, Pina Romaniello2

  • 1Laboratoire de Chimie et Physique Quantiques (UMR 5626), Université de Toulouse, CNRS, UPS, Toulouse, France.

The Journal of Chemical Physics
|April 30, 2022
PubMed
Summary
This summary is machine-generated.

The T-matrix approximation, suitable for strongly correlated systems, was used to develop new Bethe-Salpeter equations. This novel approach excels in calculating excited states for low-electron-density molecular systems.

More Related Videos

Author Spotlight: Exploring Light-Driven Chemical Reactions and Energy-Harnessing Devices in Photochemical Research
08:12

Author Spotlight: Exploring Light-Driven Chemical Reactions and Energy-Harnessing Devices in Photochemical Research

Published on: February 16, 2024

11.6K
Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
11:44

Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes

Published on: November 12, 2016

18.1K

Related Experiment Videos

Last Updated: Sep 25, 2025

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.7K
Author Spotlight: Exploring Light-Driven Chemical Reactions and Energy-Harnessing Devices in Photochemical Research
08:12

Author Spotlight: Exploring Light-Driven Chemical Reactions and Energy-Harnessing Devices in Photochemical Research

Published on: February 16, 2024

11.6K
Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes
11:44

Spin Saturation Transfer Difference NMR SSTD NMR: A New Tool to Obtain Kinetic Parameters of Chemical Exchange Processes

Published on: November 12, 2016

18.1K

Area of Science:

  • Quantum chemistry
  • Many-body perturbation theory
  • Computational physics

Background:

  • The GW approximation is standard for weakly correlated systems.
  • The T-matrix approximation is theoretically suited for strongly correlated systems.
  • Bethe-Salpeter equations describe excited states.

Purpose of the Study:

  • To derive and implement static and dynamic Bethe-Salpeter equations using T-matrix quasiparticle energies and kernel.
  • To evaluate the performance of this T-matrix-based formalism for molecular excited states.
  • To compare the T-matrix approach with conventional methods.

Main Methods:

  • Derivation of static and dynamic Bethe-Salpeter equations.
  • Implementation using T-matrix quasiparticle energies and kernel.
  • Calculation of neutral excited states for molecular systems.
  • Comparison with GW and other wave function methods.

Main Results:

  • The T-matrix-based Bethe-Salpeter equation formalism was successfully implemented.
  • The static scheme and its dynamical correction were assessed.
  • Performance was evaluated for molecular excited states.
  • The T-matrix approach showed best performance in few-electron, low-density systems.

Conclusions:

  • The T-matrix-based Bethe-Salpeter equation formalism offers a viable alternative for excited-state calculations.
  • This method demonstrates particular strength for systems with low electron density.
  • Further investigations into strongly correlated systems are warranted.