Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

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. Schrödinger...

The Pauli Exclusion Principle

The Pauli Exclusion Principle

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:

First Law: Particles in One-dimensional Equilibrium

First Law: Particles in One-dimensional Equilibrium

Newton's first law of motion states that a body at rest remains at rest, or if in motion, remains in motion at constant velocity, unless acted on by a net external force. It also states that there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. This cause is a net external force. For example, consider what happens to an object sliding along a rough horizontal surface. The object quickly grinds to a halt, due to the net force of friction. If we...

First Law: Particles in Two-dimensional Equilibrium

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...

Symmetry in Maxwell's Equations

Symmetry in Maxwell's Equations

Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...

Fermi Level Dynamics

Fermi Level Dynamics

The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
Electron affinity in semiconductors refers to the energy gap between the minimum of its conduction band and the vacuum level and it is a critical parameter in determining how easily a semiconductor can accept additional electrons.
The work...

You might also read

Related Articles

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

Sort by

Same author

Isodesmic Supramolecular Assembly of Phenylethynylene Bis-Urea Macrocycles.

Chemistry (Weinheim an der Bergstrasse, Germany)·2026

Same author

Stimuli-Modulated Metal-Organic Framework (MOF) Reactivity toward a Three-Component Coupling Reaction.

Journal of the American Chemical Society·2026

Same author

Quantum effects on the dynamics and properties of soft materials.

Chemical communications (Cambridge, England)·2026

Same author

Rigorous Quantum-Mechanical Modeling of Tunneling-Based Structural Changes Associated with Line Shifts in Optical Spectroscopy Experiments in Pigment-Protein Complexes.

The journal of physical chemistry. B·2026

Same author

Altering the Thermodynamics of Stimuli-Responsive Derivatives through Layered Hybrid Material Design.

Journal of the American Chemical Society·2025

Same author

Variational Dynamics of Multicomponent Wave Functions Represented in a Basis Driven by a Time-Dependent Gaussian Wavepacket.

Journal of chemical theory and computation·2025

Search research articles

Related Experiment Video

Updated: Jun 3, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Bohmian dynamics on subspaces using linearized quantum force.

Vitaly A Rassolov¹, Sophya Garashchuk

¹Department of Chemistry & Biochemistry, University of South Carolina, Columbia, South Carolina 29208, USA.

The Journal of Chemical Physics

|July 23, 2004

Summary

This study introduces an improved approximate quantum potential for de Broglie-Bohm quantum mechanics, enhancing accuracy for complex systems and non-Gaussian wave packets in quantum trajectory simulations.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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

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

Published on: August 2, 2019

Related Experiment Videos

Last Updated: Jun 3, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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

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

Published on: August 2, 2019

Area of Science:

Quantum Mechanics
Computational Chemistry
Theoretical Physics

Background:

The de Broglie-Bohm formulation solves the time-dependent Schrödinger equation using quantum trajectories.
Practical implementations often require approximate quantum potentials for scalability and accuracy in semiclassical systems.

Purpose of the Study:

To generalize the energy-conserving approximate quantum potential for Bohmian dynamics on subspaces.
To improve the description of non-Gaussian wave packets and general potentials using optimized fitting functions.

Main Methods:

Formulating Bohmian dynamics on subspaces.
Defining an energy-conserving approximate quantum potential using optimized nonclassical momentum and domain boundary functions.
Optimizing parameters independently for each domain and dimension, expressed via trajectory distribution moments for linear fitting functions.

Main Results:

The generalized approximate quantum potential accurately describes non-Gaussian wave packets and general potentials.
Linear fitting functions, optimized using trajectory moments, yield exact evolution for Gaussian wave packets in quadratic potentials.
The method demonstrates effectiveness in one-dimensional anharmonic systems and collinear hydrogen exchange reactions.

Conclusions:

The developed method offers a more accurate and versatile approach to quantum trajectory simulations within the de Broglie-Bohm framework.
This approach enhances the capability to model complex quantum systems and reactions with improved computational efficiency.
The formulation provides a robust tool for studying semiclassical dynamics and quantum mechanical effects.