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Related Concept Videos

Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
Induced Electric Dipoles01:28

Induced Electric Dipoles

A permanent electric dipole orients itself along an external electric field. This rotation can be quantified by defining the potential energy because the external torque does work in rotating it. Then, the potential energy is minimum at the parallel configuration and maximum at the antiparallel configuration. While the former is a stable equilibrium, the latter is an unstable equilibrium.
Since the absolute value of potential energy holds no physical meaning, its zero value can be chosen as per...
Magnetic Field due to Moving Charges01:23

Magnetic Field due to Moving Charges

A stationary charge creates and interacts with the electric field, while a moving charge creates a magnetic field.
Consider a point charge moving with a constant velocity. Like the electric field, the magnetic field at any point is directly proportional to the magnitude of the charge and inversely proportional to the square of the distance between the source point and the field point. However, unlike the electric field, the magnetic field is always perpendicular to the plane containing the line...
Electric Field of a Charged Disk01:23

Electric Field of a Charged Disk

The simplest case of a surface charge distribution is the uniformly charged disk. Calculating its electric field also helps us calculate the electric field of a large plane of charge.
The system's symmetry is in the cylindrical directions across the plane of the charge. As a result, the electric fields created by various surface charge elements nullify each other in the direction parallel to the surface. Thereby, the resulting electric field is perpendicular to the plane. Since the disk is...
Motion Of A Charged Particle In A Magnetic Field01:22

Motion Of A Charged Particle In A Magnetic Field

A charged particle experiences a force when moving through a magnetic field. Consider the field to be uniform and the charged particle to move perpendicular to it. If the field is in a vacuum, the magnetic field is the dominant factor determining the motion. Since the magnetic force is perpendicular to the direction of motion, a charged particle follows a curved path. The particle continues to follow this curved path until it forms a complete circle. Another way to look at this is that the...
Energy Carried By Electromagnetic Waves01:22

Energy Carried By Electromagnetic Waves

Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun's warmth. At other times, it is subtle, such as the unfelt energy of gamma rays, which can destroy living cells. Electromagnetic waves bring energy into a system through their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave,...

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Related Experiment Video

Updated: Jun 21, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Energy and charge-transfer dynamics using projected modes.

Andrey Pereverzev1, Eric R Bittner, Irene Burghardt

  • 1Department of Chemistry and Texas Center for Superconductivity, University of Houston, Houston, Texas 77204, USA. andrey.pereverzev@mail.uh.edu

The Journal of Chemical Physics
|July 24, 2009
PubMed
Summary
This summary is machine-generated.

We developed a method to separate electron-phonon interactions into distinct groups. This approach simplifies complex systems and aids in studying electronic relaxation in materials like semiconducting polymers.

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

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Last Updated: Jun 21, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Vibrational Spectra of a N719-Chromophore/Titania Interface from Empirical-Potential Molecular-Dynamics Simulation, Solvated by a Room Temperature Ionic Liquid
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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

Area of Science:

  • Condensed Matter Physics
  • Quantum Chemistry
  • Materials Science

Background:

  • Electron-phonon interactions are crucial for understanding material properties.
  • Existing models often struggle with complex coupling behaviors.
  • Conical intersections present unique challenges in electronic systems.

Purpose of the Study:

  • To develop a general method for transforming electron-phonon Hamiltonians.
  • To separate normal modes into interacting and non-interacting groups.
  • To enable new approximation schemes for studying electronic relaxation.

Main Methods:

  • Constructing a class of unitary transformations for electron-phonon Hamiltonians.
  • Linear couplings in phonon operators are targeted.
  • Independent transformations for different phonon mode types (e.g., high- vs. low-frequency).

Main Results:

  • A clear separation of normal modes into two groups is achieved.
  • One group directly interacts with electronic degrees of freedom.
  • The second group interacts only with the first group, not directly with electrons.

Conclusions:

  • The developed transformations generalize existing methods, including those for conical intersections.
  • Mode separation facilitates the development of novel approximation schemes.
  • The method is applied to study electronic relaxation at semiconducting polymer interfaces.