Exceptional points in quantum and classical dynamics
نویسنده
چکیده
We notice that, when a quantum system involves exceptional points, i.e. the special values of parameters where the Hamiltonian loses its self-adjointness and acquires the Jordan block structure, the corresponding classical system also exhibits a singular behaviour associated with restructuring of classical trajectories. The system with the crypto-Hermitian Hamiltonian H = (p + z)/2 − igz and hyper-elliptic classical dynamics is studied in details. Analogies with supersymmetric Yang-Mills dynamics are elucidated.
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تاریخ انتشار 2009