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...

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:

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...

Molecular Orbital Theory II

Molecular Orbital Theory II

Molecular Orbital Energy Diagrams

$Interference and Diffraction$ 02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

Molecular Orbital Theory I

Molecular Orbital Theory I

Overview of Molecular Orbital Theory

You might also read

Related Articles

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

Sort by

Same author

Ultranarrow nanochannels in a staggered two-dimensional polymer membrane enhance electric double-layer coverage for osmotic energy harvesting.

Nature communications·2026

Same author

Predicting the hydrogen bond strength from water reorientation dynamics at short timescales.

The Journal of chemical physics·2026

Same author

The CP-PAW Code Package for First-Principles Calculations from a User's Perspective.

The journal of physical chemistry. A·2026

Same author

Quantifying Gibbs measures of disordered crystals up to the solid-liquid phase transition.

PNAS nexus·2026

Same author

SCF Framework, HF Stability, and RPA Correlation for Jordan-Wigner-Transformed Spin Hamiltonians on Arbitrary Coupling Topologies.

Journal of chemical theory and computation·2026

Same author

The CP2K Program Package Made Simple.

The journal of physical chemistry. B·2026

Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016

See all related articles

Search research articles

Related Experiment Video

Updated: Apr 19, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Sign problem of the fermionic shadow wave function.

Francesco Calcavecchia¹, Francesco Pederiva², Malvin H Kalos³

¹Institute of Physics, Johannes Gutenberg-University, Staudingerweg 7, D-55128 Mainz, Germany and Graduate School Materials Science in Mainz, Staudingerweg 9, D-55128 Mainz, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|December 11, 2014

Summary

This summary is machine-generated.

We developed new methods to solve the fermionic sign problem in quantum Monte Carlo simulations. These techniques improve accuracy for systems like liquid helium-3, despite higher computational costs.

More Related Videos

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

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

Related Experiment Videos

Last Updated: Apr 19, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

$Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene$

Measurements of Long-range Electronic Correlations During Femtosecond Diffraction Experiments Performed on Nanocrystals of Buckminsterfullerene

Published on: August 22, 2017

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

Area of Science:

Quantum Many-Body Physics
Computational Physics

Background:

The fermionic sign problem is a major obstacle in quantum Monte Carlo (QMC) simulations.
Accurate simulations of fermionic systems are crucial for understanding condensed matter phenomena.

Purpose of the Study:

To introduce novel methods for alleviating the fermionic sign problem in variational Monte Carlo (VMC).
To demonstrate the efficacy of these methods on a realistic physical system, liquid helium-3.
To assess the trade-offs between accuracy gains and computational cost.

Main Methods:

Development of a series of techniques to mitigate the sign problem.
Application of these methods within the variational Monte Carlo framework.
Testing and validation using liquid helium-3 as a benchmark system.

Main Results:

The proposed methods successfully reduce the variance in fermionic shadow wave function calculations.
Despite variance reduction, computational cost increases, limiting overall efficiency gains.
The developed techniques enable highly accurate QMC simulations for systems previously considered intractable.

Conclusions:

The new methods extend the applicability of the fermionic shadow wave function approach.
These advancements facilitate previously infeasible, highly accurate quantum Monte Carlo simulations.
The study highlights a path towards more robust computational approaches in many-body physics.