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

Divergence and Curl of Electric Field01:25

Divergence and Curl of Electric Field

5.5K
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from the positive charge and converges at the negative charge. The divergence of an electric field is derived using Gauss's law and is equal to the charge density divided by the permittivity of space. Mathematically, it is expressed as
5.5K
Divergence and Curl of Magnetic Field01:26

Divergence and Curl of Magnetic Field

2.9K
The magnetic field due to a volume current distribution given by the Biot–Savart Law can be expressed as follows:
2.9K
Region of Convergence of Laplace Tarnsform01:20

Region of Convergence of Laplace Tarnsform

512
The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
Consider a decaying exponential signal that begins at a specific time. When deriving its Laplace transform, the time-domain variable is replaced with a complex variable. This...
512
Traveling Waves: Lossless Lines01:27

Traveling Waves: Lossless Lines

128
The provided content explores the behavior of traveling waves on single-phase lossless transmission lines. It begins with a single-phase two-wire lossless transmission line of length Δx, characterized by a loop inductance LH/m and a line-to-line capacitance C F/m. These parameters result in a series inductance LΔx  and a shunt capacitance CΔx.
128
Equipotential Surfaces and Conductors01:16

Equipotential Surfaces and Conductors

3.3K
For a conductor in which all charges are at rest, the conductor's surface is equipotential. The electric field is always perpendicular to equipotential surfaces. Therefore, in a conductor with static charges, the electric field just outside the conductor is always perpendicular to the conductor's surface. Any tangential component of the electric field will cause charges to move inside the conductor, which will violate the electrostatic nature of the system. In an electrostatic...
3.3K
Boundary Conditions for Current Density01:25

Boundary Conditions for Current Density

828
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.
828

You might also read

Related Articles

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

Sort by
Same author

Correspondence Rules for <i>SU</i>(1,1) Quasidistribution Functions and Quantum Dynamics in the Hyperbolic Phase Space.

Entropy (Basel, Switzerland)·2022
Same author

Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems.

Entropy (Basel, Switzerland)·2021
Same journal

Research on a Regional Availability Evaluation Model for Road-Area High-Entropy Energy Based on Synergy Factors.

Entropy (Basel, Switzerland)·2026
Same journal

Atmospheric Turbulence Channel Modeling and Performance Analysis of a CO-ZP-OFDM Coherent Optical Communication System for UAV Air-to-Ground Scenarios.

Entropy (Basel, Switzerland)·2026
Same journal

Information Geometry and Asymptotic Theory for SMML Estimators.

Entropy (Basel, Switzerland)·2026
Same journal

Correlation Entropy and Power-Law Kinetics.

Entropy (Basel, Switzerland)·2026
Same journal

Research on the Contagion of Systemic Financial Risk Under the Impact of Climate Risks-From the Perspective of Complex Networks and Machine Learning.

Entropy (Basel, Switzerland)·2026
Same journal

The Statistical-Mechanical Meaning of the Wave Function of Quantum Mechanics.

Entropy (Basel, Switzerland)·2026
See all related articles

Related Experiment Video

Updated: Jun 14, 2025

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images
12:45

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Published on: August 31, 2022

2.8K

Tunneling Currents in the Hyperbolic Phase Space.

Ivan F Valtierra1, Andrei B Klimov1

  • 1Departamento de Física, Universidad de Guadalajara, Guadalajara 44420, Jalisco, Mexico.

Entropy (Basel, Switzerland)
|August 29, 2024
PubMed
Summary
This summary is machine-generated.

We developed quantum currents for quantum systems with SU(1,1) symmetry to analyze tunneling dynamics. This method reveals insights into quantum behavior within hyperbolic phase spaces.

Keywords:
phase spacequantum currenttunneling

More Related Videos

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

9.6K
All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

9.6K

Related Experiment Videos

Last Updated: Jun 14, 2025

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images
12:45

Detection and Quantification of Tunneling Nanotubes Using 3D Volume View Images

Published on: August 31, 2022

2.8K
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

9.6K
All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics
11:33

All-electronic Nanosecond-resolved Scanning Tunneling Microscopy: Facilitating the Investigation of Single Dopant Charge Dynamics

Published on: January 19, 2018

9.6K

Area of Science:

  • Quantum mechanics
  • Mathematical physics

Background:

  • Quantum systems often exhibit complex dynamics.
  • Understanding tunneling phenomena is crucial in quantum mechanics.

Purpose of the Study:

  • To introduce novel quantum currents for systems with SU(1,1) dynamic symmetry.
  • To analyze tunneling dynamics on hyperbolic phase space using these currents.

Main Methods:

  • Development of quantum currents tailored for SU(1,1) symmetry.
  • Application of these currents to a non-linear Hamiltonian with a continuous spectrum.
  • Analysis of tunneling dynamics within a hyperbolic phase space framework.

Main Results:

  • The study successfully defines and applies quantum currents for the specified quantum systems.
  • The analysis provides a new perspective on tunneling dynamics in hyperbolic phase spaces.
  • The non-linear Hamiltonian's impact on quantum evolution is explored.

Conclusions:

  • The introduced quantum currents offer a powerful tool for studying quantum systems with SU(1,1) symmetry.
  • This work advances the understanding of tunneling phenomena in complex quantum environments.
  • The findings have implications for theoretical quantum physics and related fields.