Finite oscillator obtained through finite frame quantization

@article{Cotfas2013FiniteOO,
  title={Finite oscillator obtained through finite frame quantization},
  author={Nicolae Cotfas and Daniela Dragoman},
  journal={Journal of Physics A: Mathematical and Theoretical},
  year={2013},
  volume={46}
}
  • N. CotfasD. Dragoman
  • Published 4 January 2013
  • Physics, Computer Science
  • Journal of Physics A: Mathematical and Theoretical
The Hamiltonian of the harmonic oscillator is usually defined as a differential operator, but an integral representation can be obtained by using the coherent state quantization. The finite frame quantization is a finite counterpart of the coherent state quantization and it allows us to define a finite oscillator by starting from the integral representation of the harmonic oscillator. Our purpose is to investigate the oscillator obtained in this way, and to present a possible application to the… 

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