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

Partition function for a one-dimensional delta-function Bose gas.

G Kato1, M Wadati

  • 1Department of Physics, Graduate School of Science, University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan. go-karto@monet.phys.s.u-tokyo.ac.jp

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 20, 2001
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

Effects of blood and brain midazolam concentrations on prolonged sedation in rats with low albumin levels.

Die Pharmazie·2025
Same author

Decrescent intensity training concurrently improves maximal anaerobic power, maximal accumulated oxygen deficit, and maximal oxygen uptake.

Physiology international·2019
Same author

Validation of claims data to identify death among aged persons utilizing enrollment data from health insurance unions.

Environmental health and preventive medicine·2019
Same author

Susceptibility of isogeneic ginbuna Carassius auratus langsdorfii Temminck et Schlegel to cyprinid herpesvirus-2 (CyHV-2) as a model species.

Journal of fish diseases·2016
Same author

The role of a specific antibody against Flavobacterium psychrophilum infection in ayu sweetfish, Plecoglossus altivelis altivelis (Temminck & Schlegel, 1846).

Journal of fish diseases·2014
Same author

Cytokine profile during the clinical course of toxic shock syndrome.

Clinical and experimental dermatology·2009
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

The partition function for a one-dimensional Bose gas with delta-function interactions was calculated using the Bethe ansatz equation. This method confirmed that the N-particle cluster integrals match those from the thermal Bethe ansatz approach.

Area of Science:

  • Statistical mechanics
  • Quantum many-body systems
  • Condensed matter physics

Background:

  • The behavior of Bose gases with strong interactions is crucial for understanding quantum phenomena.
  • Calculating partition functions provides insights into thermodynamic properties.

Purpose of the Study:

  • To explicitly calculate the N-particle partition function for a one-dimensional delta-function Bose gas.
  • To verify the equivalence of cluster integrals derived from different theoretical frameworks.

Main Methods:

  • Utilizing the Bethe ansatz equation with periodic boundary conditions.
  • Direct calculation of N-particle partition functions.

Main Results:

  • The N-particle partition function for the specified Bose gas was derived explicitly.

Related Experiment Videos

  • Demonstrated the identity of N-particle cluster integrals with those obtained via the thermal Bethe ansatz method.

    • Conclusions:

    • The Bethe ansatz equation with periodic boundary conditions is a sufficient and effective tool for this calculation.
    • Confirms the consistency between different formulations of the thermal Bethe ansatz for Bose gases.