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

Quantum chaotic trajectories in integrable right triangular billiards.

J A de Sales1, J Florencio

  • 1Departamento de Física, Universidade Federal de Minas Gerais, 30.123-970 Belo Horizonte, Minas Gerais, Brazil. jsales@fisica.ufmg.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 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

Reply to "Comment on 'Quantum fidelity approach to the ground-state properties of the one-dimensional axial next-nearest-neighbor Ising model in a transverse field' ".

Physical review. E·2020
Same author

Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field.

Physical review. E·2019
Same author

Quantum fidelity approach to the ground-state properties of the one-dimensional axial next-nearest-neighbor Ising model in a transverse field.

Physical review. E·2018
Same author

Dynamics of the transverse Ising model with next-nearest-neighbor interactions.

Physical review. E, Statistical, nonlinear, and soft matter physics·2015
Same author

Quantum phase transitions in a chain with two- and four-spin interactions in a transverse field.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
Same author

Critical behavior of a quantum chain with four-spin interactions in the presence of longitudinal and transverse magnetic fields.

Physical review. E, Statistical, nonlinear, and soft matter physics·2014
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

Quantum mechanics reveals particle behavior in right triangular billiards can be quasiperiodic or chaotic. Bohmian mechanics and numerical methods were used to analyze trajectories based on initial wave function positions.

Area of Science:

  • Quantum mechanics
  • Classical mechanics
  • Mathematical physics

Background:

  • Right triangular billiards are integrable in classical mechanics for specific acute angles.
  • Quantum mechanical energy level spacing in these billiards deviates from standard distributions (Poisson, Wigner).

Purpose of the Study:

  • To investigate particle dynamics within right triangular billiards using quantum mechanical principles.
  • To analyze trajectory behavior and determine conditions for quasiperiodic and chaotic motion.

Main Methods:

  • Utilized Bohm's formalism to calculate particle trajectories.
  • Employed numerical methods for trajectory analysis.
  • Defined the initial wave function as a linear combination of the first three energy states.

Related Experiment Videos

Main Results:

  • Demonstrated that particle behavior can be either quasiperiodic or chaotic.
  • Showed that the initial position of the particle significantly influences its trajectory.
  • Observed deviations from expected quantum mechanical distributions.

Conclusions:

  • Particle dynamics in right triangular billiards exhibit complex behavior under quantum mechanics.
  • Bohmian mechanics provides a framework for understanding these quantum trajectories.
  • Initial conditions are critical in determining the nature of particle motion, leading to either ordered or chaotic paths.