Title: Different Facets of PT Symmetry
Speaker: Prof. A.Khare, Ex-Professor, IOP,
Venue: IOP Lecture Hall
Date: 2017-Mar-03 16:00:00
Abstract: In this talk I will discuss many interesting developments which have
happened mainly in classical mechanics, Integrable models and classical
field theory due to PT-symmetry. For example, I will discuss new
reflectionless PT-symmetric potentials and hence complex PT-invariant
solution of KdV equation. I also discuss new PT-invariant complex periodic
solutions of KdV equation and conjecture that these potentials must have
novel band structure. I then show that any model which admits kink
solution, will always also admit PT-invariant complex kink solution and
that it is also topologically stable. I further discuss stability of
solitons of Nonlinear Schrodinger equation with PT-invariant complex
potentials. I discuss a coupled oscillator model with balanced growth and
loss and show that (unlike the single oscillator with friction) it is an
Hamiltonian system. Finally I discuss PT-invariant Gross-Neuve model with
N =1 (Soler model).