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

First Law: Particles in One-dimensional Equilibrium01:10

First Law: Particles in One-dimensional Equilibrium

6.9K
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...
6.9K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

42.3K
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.
42.3K
The Uncertainty Principle04:08

The Uncertainty Principle

23.4K
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...
23.4K
First Law: Particles in Two-dimensional Equilibrium01:18

First Law: Particles in Two-dimensional Equilibrium

5.1K
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...
5.1K
Equilibrium Conditions for a Particle01:23

Equilibrium Conditions for a Particle

1.1K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
1.1K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

37.3K
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:
37.3K

You might also read

Related Articles

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

Sort by
Same author

Small matrix path integral propagation for long-time quantum dynamics of multistate systems in one and two dimensions.

The Journal of chemical physics·2026
Same author

Frustration Protection of Exciton-Vibration Thermodynamics and Transfer.

The journal of physical chemistry letters·2025
Same author

Small matrix path integral in imaginary time.

The Journal of chemical physics·2025
Same author

Quantum dynamics of dissipative two-level systems and intradimer excitation energy transfer in the presence of static disorder.

The Journal of chemical physics·2025
Same author

Discrete Generalized Quantum Master Equations.

Journal of chemical theory and computation·2025
Same author

Coherence in Chemistry: Foundations and Frontiers.

Chemical reviews·2024
Same journal

Precursor-Directed Self-Assembly in Hydrothermal Carbon Nitride Nanostructures Revealed by Nano-FTIR.

The journal of physical chemistry letters·2026
Same journal

Correction to "Equation-of-Motion Block-Correlated Coupled Cluster Method for Excited Electronic States of Strongly Correlated Systems".

The journal of physical chemistry letters·2026
Same journal

Rationalizing Stacking-Dependent Charge Injection Dynamics in Radical-Based Organic Light-Emitting Diodes.

The journal of physical chemistry letters·2026
Same journal

Bottom-Up Formation of the Simplest Geminal Thiol─Methanedithiol (CH<sub>2</sub>(SH)<sub>2</sub>)─and the Methyl Hydrodisulfide (H<sub>3</sub>CSSH) Isomer in Interstellar Analogue Ices.

The journal of physical chemistry letters·2026
Same journal

Trion Mediated Sequential Charge Separation in Functionalized CsPbBr<sub>3</sub>/AgInS<sub>2</sub> Hybrid Nanocrystals.

The journal of physical chemistry letters·2026
Same journal

Linking Local Water Electrostatic Potentials to Measured Hydrogen Evolution Onset in Aqueous Electrolytes.

The journal of physical chemistry letters·2026
See all related articles

Related Experiment Video

Updated: Jul 4, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

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

Published on: December 4, 2017

8.5K

Path Integral over Equivalence Classes for Quantum Dynamics with Static Disorder.

Nancy Makri1

  • 1Departments of Chemistry and Physics, University of Illinois, 505 S. Mathews Avenue, Urbana, Illinois 61801, United States.

The Journal of Physical Chemistry Letters
|January 31, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces an efficient quantum mechanical method to simulate how static disorder affects system dynamics coupled to harmonic baths. It simplifies calculations by grouping system paths, revealing complex interactions between coherence, dissipation, and fluctuations.

More Related Videos

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.6K
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

Related Experiment Videos

Last Updated: Jul 4, 2025

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
11:03

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

Published on: December 4, 2017

8.5K
Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy
06:37

Quantifying Cytoskeleton Dynamics Using Differential Dynamic Microscopy

Published on: June 15, 2022

3.6K
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

Area of Science:

  • Quantum mechanics
  • Condensed matter physics
  • Chemical dynamics

Background:

  • Simulating quantum systems with static disorder and environmental coupling is computationally challenging.
  • Existing methods often require numerous calculations for different disorder realizations.

Purpose of the Study:

  • To develop an efficient, fully quantum mechanical, real-time path integral method.
  • To incorporate the effects of static disorder in systems coupled to harmonic baths.
  • To simplify the computational treatment of environmental influences on quantum dynamics.

Main Methods:

  • Real-time path integral formulation.
  • Grouping system paths into equivalence classes based on fixed amplitudes.
  • Single evaluation of the path sum for captured bath influence.

Main Results:

  • Demonstrated efficiency compared to traditional methods requiring multiple Hamiltonian calculations.
  • Revealed nontrivial effects arising from the interplay of coherence and dissipation.
  • Showcased the method's ability to capture thermal fluctuations and geometric phases.

Conclusions:

  • The presented method offers an efficient approach to study quantum dynamics in disordered systems.
  • It provides insights into the complex interplay of various physical phenomena.
  • Applicable to systems coupled to common or local harmonic baths.