04/20/2016 - 15:30

04/20/2016 - 16:30

Speaker:

Sengul Nalci Tümer, Izmir Institute of Technology, TURKEY

Location:

CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336

Abstract:

We consider application of quantum calculus to q-extended exactly solvable nonlinear classical and quantum models. By q-Cole-Hopf transformation, nonlinear q-Burgers’ equation is constructed and its solutions as q-shock solitons are found. The results are extended to linear q-Schrödinger equation and nonlinear q-Maddelung fluid.

Then we introduce the q-analytic functions, satisfying q-Cauchy Riemann equations and show that some of them belongs to a class of generalized analytic functions. In terms of these functions we derive quantum q-analytic coherent states and q-analytic Fock Bargmann representation.