PROFESSOR AVINASH KHARE

In last two decades, PT- symmetry has received wide attention both theoretically and experimentally in areas starting from optics, multiferroics, quantum mechanics and even some attention in gravity. In this colloquium, the speaker will discuss many interesting developments, which have happened mainly in classical mechanics, integrable models and classical field theory due to PT- symmetry. For example, he will discuss new reflectionless PT- symmetric potentials, and hence complex PT- invariant solution of KdV equation. Further, he will discuss a coupled oscillator model with balanced growth and loss, and show that, unlike the single oscillator with friction, it is a Hamiltonian system. Finally, the speaker will discuss new PT- invariant complex periodic solutions of KdV equation and conjecture that these potentials must have novel band structure.