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Related Concept Videos

Electric Field of Two Equal and Opposite Charges01:30

Electric Field of Two Equal and Opposite Charges

Atoms generally contain the same number of positively and negatively charged particles, protons, and electrons. Hence, they are electrically neutral. However, the centers of the positive and negative charges do not always coincide. In such a scenario, the electric field of an atom may not be zero.
A separation of the positive and negative charges can lead to a weak, remnant effect of the positive and negative charges. The expectation is that the more the distance between the positive and...
Electric Field01:16

Electric Field

Consider two point charges, each exerting Coulomb force on the other. It is possible to describe the Coulomb interaction via an intermediate step by defining a new physical quantity called the electric field.
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Finding Electric Potential From Electric Field01:13

Finding Electric Potential From Electric Field

For a system of charges, it is easy to calculate the system's potential because potential is a scalar quantity. However, in some instances where calculating the electric field is more straightforward than finding the potential, the electric field is used to calculate the system's potential. For a positive charge, the electric field is radially outward, and the potential is positive at any finite distance from the positive charge. In such an electric field, the motion away from the positive...
Calculations of Electric Potential II01:27

Calculations of Electric Potential II

An electric dipole is a system of two equal but opposite charges, separated by a fixed distance. This system is used to model many real-world systems, including atomic and molecular interactions. One of these systems is the water molecule, but only under certain circumstances. These circumstances are met inside a microwave oven, where electric fields with alternating directions make the water molecules change orientation. This vibration is equivalent to heat at the molecular level.
Consider a...
Electric Potential Energy in a Uniform Electric Field01:09

Electric Potential Energy in a Uniform Electric Field

When an electric field accelerates a free positive charge, it acquires kinetic energy. This process is analogous to an object being accelerated by a gravitational field as if the charge were going down an electrical hill where its electric potential energy is converted into kinetic energy, although, of course, the sources of the forces are very different. The electrostatic or Coulomb force acting on the positive test charge is conservative, which means that the work done on a test charge is...
Electric Field Lines01:25

Electric Field Lines

The three-dimensional representation of the electric field of a positive point charge requires tracing the electric field vectors, whose lengths decrease as the square of their distance from the charge and which point away from the charge at each point. This vector field is no doubt challenging to visualize. The visualization of electric fields becomes quickly intractable as the number of charges increases.
The solution to this problem is to use electric field lines, which are not vectors but...

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Related Experiment Video

Updated: Jun 3, 2026

Finite Element Modelling of a Cellular Electric Microenvironment
08:23

Finite Element Modelling of a Cellular Electric Microenvironment

Published on: May 18, 2021

Electric fields on quasiperiodic potentials.

F Salazar1, G Naumis

  • 1Departamento de Física-Química, Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000, México, Distrito Federal, Mexico.

Journal of Physics. Condensed Matter : an Institute of Physics Journal
|March 11, 2011
PubMed
Summary
This summary is machine-generated.

An electric field alters quasiperiodic chains, creating ladder spectra in strong fields and smoothing singular spectra in weak fields. Local resonances can cause electron delocalization.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Quasiperiodic systems exhibit complex electronic properties.
  • Electric fields can significantly influence quantum systems.
  • Harper and Fibonacci potentials are key models for quasiperiodicity.

Purpose of the Study:

  • To investigate the impact of electric fields on quasiperiodic chains.
  • To analyze changes in electronic spectrum and localization.
  • To explore the relationship between Harper and Fibonacci potentials.

Main Methods:

  • Theoretical study of quasiperiodic chains under electric fields.
  • Analysis of Harper and Fibonacci potentials.
  • Application of perturbation theory and variational approach.

Main Results:

  • Strong electric fields induce a ladder spectrum with localized states.
  • Weak electric fields smooth singular spectra and linearly reduce band gaps.
  • Local resonances lead to electron delocalization when field and potential are comparable.

Conclusions:

  • Electric fields fundamentally alter the electronic behavior of quasiperiodic systems.
  • The interplay between field strength and quasiperiodic potential determines localization or delocalization.
  • Understanding these effects is crucial for designing novel electronic materials.