Quantization of a free particle interacting linearly with a harmonic oscillator.

  title={Quantization of a free particle interacting linearly with a harmonic oscillator.},
  author={Tom Mainiero and Mason A. Porter},
  volume={17 4},
We investigate the quantization of a free particle coupled linearly to a harmonic oscillator. This system, whose classical counterpart has clearly separated regular and chaotic regions, provides an ideal framework for studying the quantization of mixed systems. We identify key signatures of the classically chaotic and regular portions in the quantum system by constructing Husimi distributions and investigating avoided level crossings of eigenvalues as functions of the strength and range of the… 
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  • L. Perotti
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2004
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