Splitting Phenomena in Wave Packet Propagation View Full Text


Ontology type: schema:Chapter      Open Access: True


Chapter Info

DATE

2002

AUTHORS

I. A. Valuev , B. Esser

ABSTRACT

Wave packet dynamics uncoupled potentials is considered on the basis of an associated Spin-Boson Hamiltonian. A large number of eigenstates of this Hamiltonian is obtained by numerical diagonalization. Eigenstates display a mixing of adiabatic branc hesas is evident from their Husimi (quantum density) projections. Prom the eigenstates time dependent Husimi projections are constructed and packet dynamics is investigated. Complex packet dynamics is observed with packet propagation along classical trajectories and an increasing number of pac kets due to splitting events in the region of avoided crossings of these trajectories. Splitting events and their spin dependencies are systematically studied. In particular splitting ratios relating the intensities of packets after a splitting event are derived from the numerical data of packet propagation. A new projection technique applied to the state vector is proposed by which the presence of particular packets in the evolution of the system can be established and made accessible to analysis. More... »

PAGES

1184-1192

References to SciGraph publications

  • 1996-03. Nonadiabatic couplings and incipience of quantum chaos in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
  • 1995-12. Incipience of quantum chaos in the spin-boson model in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
  • Book

    TITLE

    Computational Science — ICCS 2002

    ISBN

    978-3-540-43594-5
    978-3-540-47789-1

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/3-540-47789-6_125

    DOI

    http://dx.doi.org/10.1007/3-540-47789-6_125

    DIMENSIONS

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