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Recent Advances in Computational Methods for the Solution of the Time-Dependent Schrödinger Equation for the Interaction of Short, Intense Radiation with One and Two Electron Systems

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Quantum Dynamic Imaging

Part of the book series: CRM Series in Mathematical Physics ((CRM))

Abstract

In the past few years new and efficient algorithms have been developed to solve the time-dependent Schrödinger equation (TDSE) for few-electron systems. When coupled with the advances in and availability of high performance computing platforms, it is now possible to numerically calculate nearly exact solutions to the interactions of short, intense laser pulses with simple one and two-electron systems. In addition, somewhat less accurate treatments of the heavier rare gases and simple two-electron molecules are also becoming available. The proceedings from this workshop have provided a unique opportunity to describe the substantial numerical and algorithmic progress that has been achieved over the past few years to solve the TDSE and to illustrate them on the He atom and \(\text H_2^+\) molecule.

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Authors and Affiliations

  1. Office of Cyberinfrastructure and Physics Division, National Science Foundation, 4201 Wilson Blvd., Arlington, VA, 22230, USA

    Barry I. Schneider

  2. ITAMP, Harvard–Smithsonian Center for Astrophysics, Cambridge, MA, 02138, USA

    Johannes Feist

  3. Institut für Theoretische Physik, Technische Universität Wien, Wiedner Hauptstraße 8, 1040, Wien, Austria

    Stefan Nagele, Renate Pazourek & Joachim Burgdörfer

  4. Laboratory for Laser Energetics, University of Rochester, 250 E. River Road, 278871, Rochester, NY, 14623-1212, USA

    Suxing Hu

  5. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM, 87545, USA

    Lee A. Collins

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    André D. Bandrauk

  2. Department of Physics, Imperial College London, London, SW7 2BZ, United Kingdom

    Misha Ivanov

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Schneider, B.I. et al. (2011). Recent Advances in Computational Methods for the Solution of the Time-Dependent Schrödinger Equation for the Interaction of Short, Intense Radiation with One and Two Electron Systems. In: Bandrauk, A., Ivanov, M. (eds) Quantum Dynamic Imaging. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9491-2_10

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