Time-evolution of a Schrödinger electron driven by a localized oscillating potential

POSTER

Abstract

We have obtained a semi-analytical solution of the Schrödinger equation for a massive particle in the presence of a harmonic time-dependent ∼ cos (ω t) single-point ∼ δ(x) potential. We present a detailed analysis for determining the dependence of the wave function on the amplitude and frequency of the oscillatory potential, and the chosen initial conditions for the particle wave function. We have considered separately when either the potential is negative and leads to a bound state or ispositive thus yielding scattering. Our derived results could be interpreted as being related to the dynamics of an electronic Floquet state subjected to a localized laser-induced dressing field.

Presenters

  • Liubov Zhemchuzhna

    • Hunter college, CUNY
    • Hunter college

Authors

  • Liubov Zhemchuzhna

    • Hunter college, CUNY
    • Hunter college

  • Godfrey Gumbs

    • Hunter college, CUNY
    • Hunter College of the City University of New York
    • Hunter college
    • Physics and Astronomy, Hunter college
    • Department of Physics & Astronomy, Hunter College-CUNY, New York
    • Physics and Astronomy, Hunter college,City University of New York
    • Department of Physics and Astronomy, Hunter College of the City University of New York
    • Physics and Astronomy, Hunter College of CUNY
    • Physics and Astronomy, Hunter College, City University of New York

  • M. Lawrence Glasser

    • Clarkson University

  • Andrii Iurov

    • Medgar Evers College
    • Medgar Evers College of City University of New York
    • Medgar Evers college
    • Department of Physics and Computer Science, Medgar Evers College of City University of New York
    • Physics and Astronomy, Medgar Evers College, City University of New York
    • Medgar Evers College of the City University of New York
    • Department of Physics, Medgar Evers College of City University of New York

  • Danhong Huang

    • Air Force Research Lab
    • Air Force Research Laboratory, Kirtland Air Force Base, Albuquerque, NM
    • Kirtland Air Force Research Lab
    • Space Vehicles Directorate, Air Force Research Lab - Kirtland
    • Air Force Research Laboratory
    • Air Force Research Laboratory, Kirtland Airforce Base, Albuquerque, NM