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

Periodic-orbit bifurcations and superdeformed shell structure.

A G Magner1, S N Fedotkin, K Arita

  • 1Research Center for Nuclear Physics, Osaka University, Osaka 567-0047, Japan.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 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

Ultrasonic waves in classical gases.

Physical review. E·2018
Same author

Semiclassical catastrophe theory of simple bifurcations.

Physical review. E·2018
Same author

Angiogenic conditioning of peripheral blood mononuclear cells promotes fracture healing.

Bone & joint research·2017
Same author

Viscosity of a classical gas: The rare-collision versus the frequent-collision regime.

Physical review. E·2017
Same author

Genetic analysis of a novel splice-site mutation in TMC8 reveals the in vivo importance of the transmembrane channel-like domain of TMC8.

The British journal of dermatology·2016
Same author

Changes in the autoantibody pattern during allogeneic stem-cell transplantation for acute myeloid leukemia complicated by systemic lupus erythematosus.

Bone marrow transplantation·2016
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

We developed a semiclassical method to calculate the energy level density in spheroidal cavities. This approach accurately predicts quantum mechanical results and reveals enhanced shell structures in superdeformed shapes.

Area of Science:

  • * Physics
  • * Quantum mechanics
  • * Mathematical physics

Background:

  • * Calculating the energy level density of cavities is crucial in various physics fields.
  • * Semiclassical methods offer approximations but face challenges with divergences.
  • * Spheroidal cavities present unique mathematical complexities compared to simpler shapes.

Purpose of the Study:

  • * To derive a robust semiclassical trace formula for the level density of a 3D spheroidal cavity.
  • * To address and overcome divergences encountered at bifurcations and in the spherical limit.
  • * To validate the semiclassical approach against quantum-mechanical results.

Main Methods:

  • * Development of a semiclassical trace formula.
  • * Application of an improved stationary phase method for trace integrals over action-angle variables.

Related Experiment Videos

  • * Analysis of periodic orbits and their bifurcations within the cavity.

    • Main Results:

    • * The derived semiclassical level density oscillations show good agreement with quantum-mechanical calculations.
    • * Shell-correction energies calculated via the new method also align well with quantum results.
    • * Bifurcations of specific short periodic orbits enhance the shell structure for superdeformed shapes.

    Conclusions:

    • * The improved semiclassical method effectively calculates level density and shell corrections for spheroidal cavities.
    • * The findings provide insights into the formation of shell structures in superdeformed nuclear shapes.
    • * This work offers a valuable tool for theoretical studies in quantum chaos and nuclear physics.