ANALYSIS SEMINAR

" Non-Hermitian Discrete Hamiltonians "

By

Gusein Sh. Guseinov  

(Atilim University)

Abstract: The Hamiltonian H in quantum mechanics specifies the energy levels and time evolution of quantum mechanical system. A standard axiom of quantum mechanics requires that H be Hermitian because Hermiticity guarantees that the energy spectrum is real and that time evolution is unitary (probability-preserving). In the past decade, non-Hermitian Hamiltonians and complex extension of quantum mechanics received a lot of attention. Especially non- Hermitian Hamiltonians with real spectrum are more meaningful in the description of the physical content of the quantum systems defined by non-Hermitian Hamiltonians. In this talk, we introduce a non-Hermitian discrete model and investigate conditions for discreteness and reality of its spectrum.

Tea and cookies will be served before the seminar.

Date: Tuesday, December 11 2007

Time: 15.50

Place: Mathematics Seminar Room, SA-141