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A non-Hermitian circular billiard |
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| Authors: | Saket P Patkar |
| Institution: | a Indian Institute of Technology, Powai, Mumbai 400076, India b Nuclear Physics Division, Bhabha Atomic Research Centre, Mumbai 400085, India |
| Abstract: | A perturbative form of a circular billiard with an off-centre flux line yields a non-Hermitian Hamiltonian with real spectrum. The spacing among neighbouring levels deviates from Poisson distribution (expected for integrable systems). The eigenfunctions exhibit directional property due to broken parity and time-reversal symmetries. |
| Keywords: | Billiards Diffraction Pseudo-integrable systems PT-symmetry Random matrix theory |
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