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

60.9K
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.
60.9K
Impulse-Momentum Theorem00:49

Impulse-Momentum Theorem

19.6K
The total change in the motion of an object is proportional to the total force vector acting on it and the time over which it acts. This product is called impulse, a vector quantity with the same direction as the total force acting on the object.
By writing Newton's second law of motion in terms of the momentum of an object and the external force acting on it, and simultaneously using the definition of the impulse vector, it can be shown that the total impulse on an object is equal to its...
19.6K
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

2.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
2.1K
Calculation of First Law Quantities I01:25

Calculation of First Law Quantities I

32
Thermodynamic systems undergoing phase transitions or temperature changes experience energy transfer in the form of heat (q) and work (w). For a reversible phase change at constant temperature (T) and pressure (p), the process involves no chemical reaction but results in energy exchange between distinct phases.The heat transferred during this process corresponds to the latent heat of transition, which is the amount of heat energy absorbed or released by a substance when it changes from one...
32
Path Between Thermodynamics States01:21

Path Between Thermodynamics States

4.8K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
4.8K
Propagation of Action Potentials01:23

Propagation of Action Potentials

11.9K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
11.9K

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

Ambient stability and surface adhesion of 2D polyaramid nanofilms.

Faraday discussions·2026
Same journal

Spiers Memorial Lecture: Spin-mediated promotion of magnetic metal catalysts.

Faraday discussions·2026
Same journal

Helium spin-echo as a surface-sensitive probe of vibrational energy dissipation.

Faraday discussions·2026
Same journal

Near-infrared vibrational second harmonic generation: a new nonlinear interfacial vibrational spectroscopy.

Faraday discussions·2026
Same journal

CO on a Rh/Fe<sub>3</sub>O<sub>4</sub> single-atom catalyst: high-resolution infrared spectroscopy and near-ambient-pressure scanning tunnelling microscopy.

Faraday discussions·2026
Same journal

Evolution of size-selected Pt cluster catalysts on prototypical oxide supports.

Faraday discussions·2026
See all related articles

Related Experiment Video

Updated: Mar 13, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.3K

Blip-summed quantum-classical path integral with cumulative quantum memory.

Nancy Makri1

  • 1Department of Chemistry, University of Illinois, 600 S. Goodwin Avenue, Urbana, Illinois 61801, USA. nmakri@illinois.edu.

Faraday Discussions
|October 21, 2016
PubMed
Summary
This summary is machine-generated.

This study introduces efficient quantum-classical path integral (QCPI) simulations for condensed-phase systems. QCPI accelerates calculations by analytically summing bath effects and optimizing system path sampling.

More Related Videos

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K
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

9.0K

Related Experiment Videos

Last Updated: Mar 13, 2026

Gradient Echo Quantum Memory in Warm Atomic Vapor
10:00

Gradient Echo Quantum Memory in Warm Atomic Vapor

Published on: November 11, 2013

13.3K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.8K
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

9.0K

Area of Science:

  • Quantum mechanics
  • Chemical physics
  • Computational chemistry

Background:

  • Quantum-classical path integral (QCPI) is a rigorous method for simulating quantum processes in condensed-phase environments.
  • System-bath models are crucial for studying reactive process dynamics.
  • Existing methods face challenges with computational scaling and explicit trajectory enumeration.

Purpose of the Study:

  • To implement and enhance the QCPI methodology for system-bath models.
  • To improve the efficiency of quantum dynamics simulations.
  • To explore acceleration techniques for QCPI.

Main Methods:

  • Implementation of QCPI on system-bath models.
  • Analytical summation of QCPI phase for harmonic baths.
  • Application of blip decomposition for system path classification and elimination.
  • Cumulative treatment of QCPI phase between blips.

Main Results:

  • QCPI can converge faster than influence functional methods in certain regimes.
  • Analytical summation avoids exponential growth of forced oscillator trajectories.
  • Blip decomposition and cumulative phase treatment significantly increase computational efficiency.
  • Acceleration techniques are discussed for generalization to anharmonic environments.

Conclusions:

  • The implemented QCPI methodology offers a significant efficiency improvement for quantum dynamics simulations.
  • Analytical and decomposition techniques overcome key computational bottlenecks in path integral methods.
  • This work provides a foundation for more efficient simulations of complex quantum systems.