A non-Hermitian circular billiard

作者：Patkar Saket P; Jain Sudhir R^*

来源：Physics Letters A, 2010, 374(34): 3396-3399.

DOI：10.1016/j.physleta.2010.06.033

• Billiards
• Diffraction
• Pseudo-integrable systems
• PT-symmetry
• Random matrix theory

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.

• 出版日期2010-7-26