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Two-dimensional quantum spectra and classical orbits of isosceles- right triangular billiards

Liu Xiang-Long Zhu Man-Zuo Lu Lu

Two-dimensional quantum spectra and classical orbits of isosceles- right triangular billiards

Liu Xiang-Long, Zhu Man-Zuo, Lu Lu
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  • Received Date:  02 May 2012
  • Accepted Date:  10 June 2012
  • Published Online:  20 November 2012

Two-dimensional quantum spectra and classical orbits of isosceles- right triangular billiards

  • 1. School of Electronic Engineering Xi’dian University, Xi’an 710071, China
Fund Project:  Project supported by the Natual Science Foundation of Shaanxi Province, China.

Abstract: The quantum spectra are derived from the wave-functions and the energy-functions of the isosceles-right triangular model. Although the eigenstates of the billiard system are not separable, the problem of functions with two variables is exactly solvable. The numerical results of the Fourier transform of quantum spectral functions are compared with the results from the classical orbits whose lengths match well with the positions of the spectra peaks. This result gives a new evident for the correspondence of quantum and classical mechanics.

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