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A recursive solution to the time dependent Schrödinger equation using a generalized quasidegenerate Bloch formalism

The Journal of Chemical Physics, ISSN: 0021-9606, Vol: 90, Issue: 4, Page: 2320-2327
1989
  • 18
    Citations
  • 0
    Usage
  • 3
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    18
    • Citation Indexes
      18
  • Captures
    3

Article Description

A unitary time evolution method for quantum systems under the influence of time dependent Hamiltonians is developed. The evolution scheme is iterated for additional time intervals by defining a new nonorthogonal basis at each step. The evolution over an elementary time interval is integrated using a time dependent Bloch effective Hamiltonian formalism. The method is tested on a triatomic molecule model under an intense monochromatic field. It is shown to be strictly unitary and appears stable and economical of storage. © 1989 American Institute of Physics.

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