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

Classical-quantum correspondence for the scattering dwell time.

Caio H Lewenkopf1, Raúl O Vallejos

  • 1Instituto de Física, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, 20550-900 Rio de Janeiro, Brazil. caio@uerj.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 5, 2004
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

Canonical Typicality under General Quantum Channels.

Physical review letters·2024
Same author

Importance sampling with imperfect cloning for the computation of generalized Lyapunov exponents.

Physical review. E·2018
Same author

Conductance and Kondo Interference beyond Proportional Coupling.

Physical review letters·2017
Same author

From synchronous to one-time delayed dynamics in coupled maps.

Physical review. E·2017
Same author

Multi-scale approach for strain-engineering of phosphorene.

Journal of physics. Condensed matter : an Institute of Physics journal·2017
Same author

Generalized Lyapunov exponents of the random harmonic oscillator: cumulant expansion approach.

Physical review. E, Statistical, nonlinear, and soft matter physics·2012
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 derived a general expression for classical average scattering dwell time, finding it depends solely on phase space volume ratios. This classical dwell time does not align with quantum Wigner time delay averages for many systems.

Area of Science:

  • Physics
  • Physical Chemistry
  • Chemical Physics

Background:

  • Understanding scattering processes is crucial in various physical and chemical phenomena.
  • Classical and quantum mechanical descriptions of scattering events can yield different insights.
  • The concept of 'dwell time' quantifies the duration of interaction in scattering.

Purpose of the Study:

  • To derive a general expression for the classical average scattering dwell time.
  • To investigate the relationship between classical dwell time and quantum mechanical time delay.
  • To explore the dependence of classical dwell time on system properties.

Main Methods:

  • Utilizing established results from the theory of dynamical systems.
  • Deriving a general mathematical expression for classical average scattering dwell time.

Related Experiment Videos

  • Comparing classical dwell time with the energy average of quantum Wigner time delay.

    • Main Results:

    • A general expression for classical average scattering dwell time (τ) was derived.
    • The classical dwell time (τ) was found to depend only on a ratio of phase space volumes.
    • A significant discrepancy was observed between the classical average dwell time and the energy average of the quantum Wigner time delay for a broad range of systems.

    Conclusions:

    • The classical average scattering dwell time is determined by phase space volume ratios.
    • Classical and quantum mechanical time delay measures are not universally correspondent.
    • This finding highlights fundamental differences in classical and quantum descriptions of scattering interactions.