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 Experiment Videos

Local variational principle.

Cristian Predescu1

  • 1Department of Chemistry, Brown University, Providence, Rhode Island 02912, USA. Cristian_Predescu@brown.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 7, 2003
PubMed
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

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

A new method provides a better lower bound for quantum system properties, outperforming existing techniques like the Gibbs-Bogoliubov-Feynman inequality, especially at low temperatures.

Area of Science:

  • Quantum mechanics
  • Statistical mechanics

Background:

  • The Gibbs-Bogoliubov-Feynman inequality is a key tool for approximating quantum systems.
  • Accurate approximations are crucial for understanding systems at finite temperatures.

Purpose of the Study:

  • To generalize the Gibbs-Bogoliubov-Feynman inequality for spinless particles.
  • To introduce a local variational principle for improved accuracy.

Main Methods:

  • A generalized Gibbs-Bogoliubov-Feynman inequality was proven.
  • The method was applied to a symmetric double-well quartic potential.
  • The Trotter composition rule was used for systematic improvement.

Main Results:

  • A pointwise lower bound for the finite-temperature density matrix was obtained.

Related Experiment Videos

  • Ground state energies superior to the Rayleigh-Ritz principle were achieved.
  • The local variational principle demonstrated superior performance at low temperatures.

    • Conclusions:

    • The generalized inequality offers a powerful tool for quantum system analysis.
    • The local variational principle is particularly effective for low-temperature regimes.
    • This approach provides a more accurate and improvable method for quantum approximations.