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

The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

55.1K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.
55.1K
The Bohr Model02:18

The Bohr Model

78.1K
Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the...
78.1K
The Uncertainty Principle04:08

The Uncertainty Principle

30.2K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
30.2K
The de Broglie Wavelength02:32

The de Broglie Wavelength

32.0K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
32.0K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

57.6K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
57.6K
Oscillations about an Equilibrium Position01:04

Oscillations about an Equilibrium Position

6.3K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
6.3K

You might also read

Related Articles

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

Sort by
Same author

Entanglement-related features of hydrogenic systems and other systems described by bound states of two interacting particles.

Chaos (Woodbury, N.Y.)·2025
Same author

Information Theoretical Analysis of Quantum Mixedness in a Finite Model of Interacting Fermions.

Entropy (Basel, Switzerland)·2025
Same author

Energetic Cost of Statistical Order-Degree Change in a Fermions' Set.

Entropy (Basel, Switzerland)·2022
Same author

Thermal-Statistical Odd-Even Fermions' Staggering Effect and the Order-Disorder Disjunction.

Entropy (Basel, Switzerland)·2021
Same author

Information-Theoretic Features of Many Fermion Systems: An Exploration Based on Exactly Solvable Models.

Entropy (Basel, Switzerland)·2021
Same author

Structural Statistical Quantifiers and Thermal Features of Quantum Systems.

Entropy (Basel, Switzerland)·2020

Related Experiment Video

Updated: Nov 27, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.8K

Revisiting Entanglement within the Bohmian Approach to Quantum Mechanics.

Claudia Zander1, Angel Ricardo Plastino2

  • 1Physics Department, University of Pretoria, Pretoria 0002, South Africa.

Entropy (Basel, Switzerland)
|December 3, 2020
PubMed
Summary

We introduce two new ways to measure quantum entanglement in Bohmian mechanics. These partial measures, based on probability and wave function phase, fully capture total entanglement for quantum particle pairs.

Keywords:
Bohmian dynamicsentanglement indicatorslinear entropy

More Related Videos

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.8K
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

10.0K

Related Experiment Videos

Last Updated: Nov 27, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

14.8K
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
07:56

A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference

Published on: September 5, 2019

8.8K
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

10.0K

Area of Science:

  • Quantum Mechanics
  • Quantum Information Theory
  • Foundations of Physics

Background:

  • Bohmian mechanics offers a deterministic interpretation of quantum phenomena.
  • Entanglement is a key quantum resource, crucial for quantum information processing.
  • Quantifying entanglement in different theoretical frameworks is essential for understanding its nature.

Purpose of the Study:

  • To develop novel measures of entanglement within the Bohmian approach.
  • To connect entanglement measures to specific physical properties in Bohmian dynamics.
  • To provide a comprehensive understanding of entanglement in a non-standard quantum framework.

Main Methods:

  • Utilizing Bohmian dynamics to define partial entanglement measures.
  • Analyzing statistical correlations in the joint probability density of Bohmian particles.
  • Investigating correlations in the phase of the joint wave function and their relation to the velocity field.

Main Results:

  • Introduced two distinct partial measures of entanglement for pure states of bipartite quantum systems.
  • One measure quantifies statistical correlations in configuration space.
  • The second measure captures non-separability in the Bohmian velocity field via wave function phase correlations.

Conclusions:

  • The sum of the two proposed partial entanglement measures equals the total entanglement.
  • Total entanglement is validated using the linear entropy of the reduced density matrix.
  • This work provides a deeper insight into the nature of entanglement within Bohmian mechanics.