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

Maxwell-Boltzmann Distribution: Problem Solving01:20

Maxwell-Boltzmann Distribution: Problem Solving

3.2K
Individual molecules in a gas move in random directions, but a gas containing numerous molecules has a predictable distribution of molecular speeds, which is known as the Maxwell-Boltzmann distribution, f(v).
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
3.2K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

62.0K
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...
62.0K
Hybridization of Atomic Orbitals II03:35

Hybridization of Atomic Orbitals II

50.6K
sp3d and sp3d 2 Hybridization
50.6K
Ampere-Maxwell's Law: Problem-Solving01:17

Ampere-Maxwell's Law: Problem-Solving

1.4K
A parallel-plate capacitor with capacitance C, whose plates have area A and separation distance d, is connected to a resistor R and a battery of voltage V. The current starts to flow at t = 0. What is the displacement current between the capacitor plates at time t? From the properties of the capacitor, what is the corresponding real current?
To solve the problem, we can use the equations from the analysis of an RC circuit and Maxwell's version of Ampère's law.
For the first part of the...
1.4K
Fermi Level Dynamics01:12

Fermi Level Dynamics

1.1K
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...
1.1K
Molecular Orbital Theory I02:35

Molecular Orbital Theory I

49.6K
Overview of Molecular Orbital Theory
49.6K

You might also read

Related Articles

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

Sort by
Same author

Understanding the sign problem from an exact path integral Monte Carlo model of interacting harmonic fermions.

The Journal of chemical physics·2026
Same author

Simple proof that there is no sign problem in path integral Monte Carlo simulations of fermions in one dimension.

Physical review. E·2024
Same author

Analytical evaluations of the path integral Monte Carlo thermodynamic and Hamiltonian energies for the harmonic oscillator.

The Journal of chemical physics·2023
Same author

Anatomy of path integral Monte Carlo: Algebraic derivation of the harmonic oscillator's universal discrete imaginary-time propagator and its sequential optimization.

The Journal of chemical physics·2023
Same author

No sign problem in one-dimensional path integral Monte Carlo simulation of fermions: A topological proof.

Physical review. E·2023
Same author

Fundamental derivation of two Boris solvers and the Ge-Marsden theorem.

Physical review. E·2021

Related Experiment Video

Updated: Apr 15, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

9.1K

High-order path-integral Monte Carlo methods for solving quantum dot problems.

Siu A Chin1

  • 1Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 15, 2015
PubMed
Summary
This summary is machine-generated.

Optimized fourth-order path-integral Monte Carlo methods overcome the sign problem in many-fermion systems. This approach accurately calculates quantum dot energies for up to 20 electrons using fewer propagators.

More Related Videos

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.8K
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

13.5K

Related Experiment Videos

Last Updated: Apr 15, 2026

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
08:04

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

9.1K
Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry
12:11

Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

Published on: April 8, 2020

8.8K
Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
10:52

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

13.5K

Area of Science:

  • Computational Physics
  • Quantum Many-Body Systems

Background:

  • The sign problem hinders accurate simulations of many-fermion systems using conventional path-integral Monte Carlo.
  • This challenge arises from the numerous antisymmetric free-fermion propagators required for ground state calculations.

Purpose of the Study:

  • To develop and validate an improved path-integral Monte Carlo method for simulating fermionic systems.
  • To demonstrate the efficacy of fourth-order methods in overcoming the sign problem.

Main Methods:

  • Implementation of optimized fourth-order path-integral Monte Carlo.
  • Utilizing a Hamiltonian energy estimator.
  • Simulation of systems with up to 20 polarized electrons.

Main Results:

  • The fourth-order method successfully mitigates the sign problem.
  • Accurate quantum dot energies were obtained for systems with 20 polarized electrons.
  • The method requires a limited number of free-fermion propagators (≤5).

Conclusions:

  • Optimized fourth-order path-integral Monte Carlo offers a robust solution to the sign problem in fermionic simulations.
  • This method provides accurate energy calculations for complex quantum dot systems.
  • The reduced propagator requirement enhances computational efficiency.