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

Electrostatic Boundary Conditions01:16

Electrostatic Boundary Conditions

669
Consider an external electric field propagating through a homogeneous medium. When the electric field crosses the surface boundary of the medium, it undergoes a discontinuity. The electric field can be resolved into normal and tangential components. The amount by which the field changes at any boundary is given by the difference between the field components above and below the surface boundary.
The surface integral of an electric field is given by Gauss's law in integral form and is related to...
669
Electrostatic Boundary Conditions in Dielectrics01:27

Electrostatic Boundary Conditions in Dielectrics

1.4K
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...
1.4K
Magnetostatic Boundary Conditions01:28

Magnetostatic Boundary Conditions

1.2K
An electric field suffers a discontinuity at a surface charge. Similarly, a magnetic field is discontinuous at a surface current. The perpendicular component of a magnetic field is continuous across the interface of two magnetic mediums. In contrast, its parallel component, perpendicular to the current, is discontinuous by the amount equal to the product of the vacuum permeability and the surface current. Like the scalar potential in electrostatics, the vector potential is also continuous...
1.2K
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

1.0K
Current density becomes discontinuous across an interface of materials with different electrical conductivities. The normal component of the current density is continuous across the boundary.
1.0K
Plane Electromagnetic Waves I01:30

Plane Electromagnetic Waves I

4.4K
The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge.
The EM field is assumed...
4.4K
Boundary Conditions: Lossless Lines01:21

Boundary Conditions: Lossless Lines

178
Consider a single-phase, two-wire, lossless transmission line terminated by an impedance at the receiving end and a source with Thevenin voltage and impedance at the sending end. The line, with length, has a surge impedance and wave velocity determined by the line's inductance and capacitance.
At the receiving end, the boundary condition states that the voltage equals the product of the receiving-end impedance and current. This relationship is expressed as a function of the incident and...
178

You might also read

Related Articles

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

Sort by
Same author

Features of Biochemical and Hematological Parameters and Chromosomal Disorders in Lymphocytes of Aging Primates of the Kurchatovsky Complex of Medical Primatology.

Doklady. Biochemistry and biophysics·2026
Same author

Recombinant Production, SpeciesSpecific Activity at the TRPA1 Channel, and Significance of the N-Terminal Residue of ProTx-I Toxin from Thrixopelma Pruriens Tarantula Venom.

Acta naturae·2026
Same author

[The functioning of call-center in conditions of COVID-19 pandemic].

Problemy sotsial'noi gigieny, zdravookhraneniia i istorii meditsiny·2023
Same author

Odderon Exchange from Elastic Scattering Differences between pp and pp[over ¯] Data at 1.96 TeV and from pp Forward Scattering Measurements.

Physical review letters·2021
Same author

Catalytically Competent Conformation of the Active Site of Human 8-Oxoguanine-DNA Glycosylase.

Biochemistry. Biokhimiia·2020
Same author

The complex analysis of risk factors, influencing on the progression of chronic obstructive  ulmonary disease.

Terapevticheskii arkhiv·2019
Same journal

Erratum: Low-dimensional model for adaptive networks of spiking neurons [Phys. Rev. E 111, 014422 (2025)].

Physical review. E·2026
Same journal

Disentangling the effects of many-body forces on depletion interactions.

Physical review. E·2026
Same journal

Charge transport and mode transition in dual-energy electron beam diodes.

Physical review. E·2026
Same journal

Optimization of multisite reactions in complex compartmentalized media.

Physical review. E·2026
Same journal

Origin of geometric cohesion in nonconvex granular materials: Interplay between interdigitation and rotational constraints enhancing frictional stability.

Physical review. E·2026
Same journal

Interaction of walkers with a standing Faraday wave.

Physical review. E·2026
See all related articles

Related Experiment Video

Updated: Oct 20, 2025

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.7K

Exact transparent boundary condition for the multidimensional Schrödinger equation in hyperrectangular computational

R M Feshchenko1, A V Popov2

  • 1P.N. Lebedev Physical Institute of RAS, 53 Leninski Prospekt, 119991 Moscow, Russia.

Physical Review. E
|September 16, 2021
PubMed
Summary
This summary is machine-generated.

This study introduces an exact transparent boundary condition for solving the multidimensional Schrödinger equation. This method enhances computational quantum mechanics by enabling accurate simulations of wave packet propagation and particle tunneling.

More Related Videos

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.9K
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

9.9K

Related Experiment Videos

Last Updated: Oct 20, 2025

Fabrication and Operation of a Nano-Optical Conveyor Belt
11:10

Fabrication and Operation of a Nano-Optical Conveyor Belt

Published on: August 26, 2015

11.7K
Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
11:51

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions

Published on: February 22, 2018

8.9K
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

9.9K

Area of Science:

  • Computational Quantum Mechanics
  • Numerical Analysis
  • Partial Differential Equations

Background:

  • Solving the multidimensional Schrödinger equation requires accurate boundary conditions to prevent artificial reflections.
  • Existing transparent boundary conditions have limitations in multidimensional and fully discrete applications.

Purpose of the Study:

  • To propose a novel, exact transparent boundary condition for the multidimensional Schrödinger equation.
  • To develop a fully discrete one-dimensional version of this boundary condition.
  • To demonstrate its efficacy in numerical simulations.

Main Methods:

  • Generalization of existing 2D and 3D exact transparent boundary conditions.
  • Derivation of a fully discrete 1D transparent boundary condition.
  • Implementation using an improved unconditionally stable finite-difference scheme in 3D.

Main Results:

  • Demonstrated accurate propagation of Gaussian wave packets in free space.
  • Successfully simulated particle penetration through a 3D spherically asymmetrical barrier.
  • Applied the condition to a 2D system of two noninteracting particles.

Conclusions:

  • The proposed boundary condition is exact, simple, and robust for multidimensional problems.
  • It is highly beneficial for computational quantum mechanics, including multiparticle systems.
  • Enables exact solutions of the multidimensional Schrödinger equation in hyperrectangular domains.