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

Search research articles

Related Experiment Videos

Highly optimized fourth-order short-time approximation for path integrals.

Cristian Predescu¹

¹Department of Chemistry and Kenneth S. Pitzer Center for Theoretical Chemistry, University of California, Berkeley, California 94720, USA. cpredescu@comcast.net

The Journal of Physical Chemistry. B

|February 14, 2006

Summary

This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

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

Sort by

Same author

Donkey Gelatin and Keratin Nanofibers Loaded with Antioxidant Agents for Wound Healing Dressings.

Gels (Basel, Switzerland)·2024

Same author

ZnO nanostructured matrix as nexus catalysts for the removal of emerging pollutants.

Environmental science and pollution research international·2023

Same author

Insights into Anthropogenic Micro- and Nanoplastic Accumulation in Drinking Water Sources and Their Potential Effects on Human Health.

Polymers·2023

Same author

Poly(3-hydroxybutyrate-<i>co</i>-3-hydroxyvalerate) (P(3HB-<i>co</i>-3HV))/Bacterial Cellulose (BC) Biocomposites for Potential Use in Biomedical Applications.

Polymers·2022

Same author

Ferrous Industrial Wastes-Valuable Resources for Water and Wastewater Decontamination.

International journal of environmental research and public health·2022

Same author

Walnut Shell Biowaste Valorization via HTC Process for the Removal of Some Emerging Pharmaceutical Pollutants from Aqueous Solutions.

International journal of molecular sciences·2022

Same journal

The Role of Functional Groups in Substituted Benzoic Acids Used as Dopants in Liquid Crystal Mixtures on the Nematic-Isotropic Transitions.

The journal of physical chemistry. B·2026

Same journal

Hyperfine Coupling Quantifies Hole Delocalization in Triarylamine Radical Cations of D-χ-A Molecules.

The journal of physical chemistry. B·2026

Same journal

A Solvatochromic-Chemometric Framework to Resolve Subtle Polarity Microenvironment Differences in Cycloalkanes Driven by Molecular Conformation and Substituent Effects: A Proof-Of-Concept for Advanced Aviation Fuel Design.

The journal of physical chemistry. B·2026

Same journal

Selective Effects of Backbone Cyclization and Disulfide Bonding as Global Covalent Constraints on the Conformational Ensemble of Sunflower Trypsin Inhibitor-1.

The journal of physical chemistry. B·2026

Same journal

Europium Coordination Structure in Peptide Complexes Resolved with Simulation and X-ray Absorption Spectroscopy.

The journal of physical chemistry. B·2026

Same journal

Competitive Coordination and Structural Evolution of Phenylalanine-Mg<sup>2+</sup> Complexes in Microaqueous Environments: Insights from DFT and Molecular Dynamics Simulations.

The journal of physical chemistry. B·2026

See all related articles

A new fourth-order short-time approximation improves imaginary-time path-integral simulations. This method offers faster convergence for various potentials, making it a superior alternative for complex physical systems.

Area of Science:

Computational Physics
Quantum Mechanics
Numerical Methods

Background:

Imaginary-time path-integral simulations are crucial for studying quantum systems.
Existing approximations, like the trapezoidal Trotter-Suzuki method, have limitations in convergence and applicability.
Accurate and efficient approximations are needed for simulating complex physical systems.

Purpose of the Study:

To develop a novel fourth-order short-time approximation for imaginary-time path-integral simulations.
To enhance the convergence properties and applicability of path-integral simulations.
To provide a more robust alternative to existing approximation methods.

Main Methods:

Derivation of a fourth-order short-time approximation.
Analysis of the approximation's convergence properties for different potential types.

Related Experiment Videos

Construction of the approximation using statistically independent random variables.

Main Results:

The derived approximation achieves fourth-order convergence for smooth potentials.
It demonstrates convergence for all continuous and bounded-from-below potentials.
The method utilizes statistically independent random variables, simplifying its implementation.

Conclusions:

The new fourth-order approximation is a suitable replacement for the trapezoidal Trotter-Suzuki method.
Its properties make it ideal for simulating physical systems with continuous distributions.
This advancement offers improved accuracy and efficiency in computational quantum studies.