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Related Concept Videos

Electromagnetic Waves in Matter01:30

Electromagnetic Waves in Matter

Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass.
Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ.
Furthermore, the...
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

When an electric field passes from one homogeneous medium to another, crossing the boundary between the two mediums imparts a discontinuity in the electric field. This results in electrostatic boundary conditions that depend on the type of mediums the field propagates through.
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Maxwell's Equation Of Electromagnetism01:29

Maxwell's Equation Of Electromagnetism

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 represented by...
Poisson's And Laplace's Equation01:25

Poisson's And Laplace's Equation

The electric potential of the system can be calculated by relating it to the electric charge densities that give rise to the electric potential. The differential form of Gauss's law expresses the electric field's divergence in terms of the electric charge density.
Electromagnetic Wave Equation01:24

Electromagnetic Wave Equation

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: What...
Electromagnetic Fields01:30

Electromagnetic Fields

Electric fields generated by static charges, often referred to as electrostatic fields, are characteristically different from electric fields created by time-varying magnetic fields. While the former is a conservative field, implying that no net work is done on a test charge if it goes around in a complete loop in the field, the latter is, by definition, not a conservative field; net work is done, and it is proportional to the rate of change of magnetic flux.
However, the observation of Gauss's...

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Related Experiment Video

Updated: Jun 1, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Multiscale quantum mechanics/electromagnetics simulation for electronic devices.

ChiYung Yam1, Lingyi Meng, GuanHua Chen

  • 1Department of Chemistry, The University of Hong Kong, Pokfulam Road, Hong Kong.

Physical Chemistry Chemical Physics : PCCP
|June 11, 2011
PubMed
Summary
This summary is machine-generated.

A new hybrid quantum mechanics/electromagnetics (QM/EM) method accurately simulates nanoscale electronic components. This approach is essential for designing future quantum-effect electronic devices.

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

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Related Experiment Videos

Last Updated: Jun 1, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

Area of Science:

  • Computational physics
  • Nanotechnology
  • Materials science

Background:

  • Modern electronic devices are continuously shrinking, necessitating the inclusion of quantum phenomena in simulations.
  • Transistor feature sizes approaching 10 nanometers make atomistic and quantum effect simulations unavoidable for accurate modeling.

Purpose of the Study:

  • To develop and present a novel hybrid quantum mechanics and electromagnetics (QM/EM) method.
  • To model individual electronic components at the nanoscale using this new hybrid approach.

Main Methods:

  • The hybrid QM/EM method solves QM and EM models in different regions of a system.
  • These models are solved in a self-consistent manner to ensure accurate interaction.
  • A carbon nanotube electronic device within a silicon block was used as a demonstration case.

Main Results:

  • The QM/EM method successfully simulated a carbon nanotube based electronic device.
  • Results from the QM/EM simulation showed good agreement with a full quantum mechanics treatment of the entire system.
  • This validates the efficiency and accuracy of the hybrid approach for nanoscale simulations.

Conclusions:

  • The developed hybrid QM/EM method is a viable and accurate approach for simulating nanoscale electronic components.
  • This method offers a computationally efficient alternative to full quantum mechanics treatments for complex systems.
  • The technique is crucial for the future design and development of advanced electronic devices operating at the quantum level.