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

@article{Mainiero2007QuantizationOA, title={Quantization of a free particle interacting linearly with a harmonic oscillator.}, author={Tom Mainiero and Mason A. Porter}, journal={Chaos}, year={2007}, volume={17 4}, pages={ 043130 } }

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…

## One Citation

### Avoided level crossings in the quantization of a mixed regular-chaotic system.

- PhysicsChaos
- 2007

The study of avoided level crossings in the spectra of quantum Hamiltonians whose classical counterparts exhibit mixed regular-chaotic dynamics reveals important information about the quantum…

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