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 de Broglie Wavelength

The de Broglie Wavelength

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...

Emission Spectra

Emission Spectra

When solids, liquids, or condensed gases are heated sufficiently, they radiate some of the excess energy as light. Photons produced in this manner have a range of energies, and thereby produce a continuous spectrum in which an unbroken series of wavelengths is present.

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...

Atomic Nuclei: Nuclear Relaxation Processes

Atomic Nuclei: Nuclear Relaxation Processes

In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis, the precessing magnetic moments are randomly oriented around the z-axis. This...

Deactivation Processes: Jablonski Diagram

Deactivation Processes: Jablonski Diagram

Luminescence, the emission of light by a substance that has absorbed energy, is a process that involves the interaction of molecules with light. The energy-level diagram, or Jablonski diagram, is a graphical representation of these interactions, illustrating the various states and transitions a molecule can undergo. In a typical Jablonski diagram, the lowest horizontal line represents the ground-state energy of the molecule, which is usually a singlet state. This state represents the energies...

The Bohr Model

The Bohr Model

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 nucleus...

You might also read

Related Articles

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

Sort by

Same author

Towards accurate infrared spectral density of weak H-bonds in absence of relaxation mechanisms.

Spectrochimica acta. Part A, Molecular and biomolecular spectroscopy·2018

Same author

Equivalence between the Classical and Quantum IR Spectral Density Approaches of Weak H-Bonds in the Absence of Damping.

The journal of physical chemistry. A·2018

Same author

Dynamic Kerr effect in a strong uniform AC electric field for interacting polar and polarizable molecules in the mean field approximation.

The Journal of chemical physics·2017

Same author

Electrical anharmonicity in hydrogen bonded systems: complete interpretation of the IR spectra of the Cl-H[combining right harpoon above] stretching band in the gaseous (CH<sub>3</sub>)<sub>2</sub>OHCl complex.

Physical chemistry chemical physics : PCCP·2017

Same author

External dc bias-field effects in the nonlinear ac stationary response of dipolar particles in a mean-field potential.

Physical review. E·2016

Same author

Classical-quantum crossover in magnetic stochastic resonance in uniaxial superparamagnets.

Journal of physics. Condensed matter : an Institute of Physics journal·2011

Search research articles

Related Experiment Video

Updated: May 18, 2026

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

Extended diffusion in a double well potential: transition from classical to quantum regime.

Paul Blaise¹, Yuri P Kalmykov, Adina A Velcescu

¹Laboratoire de Mathématiques et Physique, EA4217, Université de Perpignan Via Domitia, 52 avenue Paul Alduy, F-66860, France. blaise@univ-perp.fr

The Journal of Chemical Physics

|September 11, 2012

Summary

This study explores the classical-quantum transition in particle diffusion within a double-well potential using the strong collision model. Rare collisions reveal significant classical-quantum effects even at high temperatures.

More Related Videos

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Related Experiment Videos

Last Updated: May 18, 2026

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

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Resonance Fluorescence of an InGaAs Quantum Dot in a Planar Cavity Using Orthogonal Excitation and Detection

Published on: October 13, 2017

Area of Science:

Quantum Mechanics
Statistical Physics
Physical Chemistry

Background:

Understanding particle diffusion in complex potentials is crucial for various physical phenomena.
The transition from classical to quantum behavior in such systems presents theoretical challenges.

Purpose of the Study:

To investigate the classical-quantum transition in particle diffusion within a 2-4 double-well potential.
To analyze the influence of the strong collision model and high-temperature limit on diffusion dynamics.

Main Methods:

Employed the strong collision model to treat particle diffusion.
Utilized the memory function formalism to evaluate correlation functions and spectra.
Calculated classical and semiclassical position correlation functions, their spectra, and correlation times.

Main Results:

Demonstrated that classical-quantum transition effects are observable even in the high-temperature limit.
Showcased the significant impact of rare collisions on the system's dynamics.
Identified distinct classical and semiclassical behaviors in position correlation functions and spectra.

Conclusions:

The strong collision model effectively captures classical-quantum transition phenomena in double-well potentials.
Rare collisions play a critical role in revealing quantum effects in the high-temperature regime.
The findings provide insights into quantum diffusion mechanisms and their classical counterparts.