Abstract: Non-Hermitian Quantum Mechanics
By Nimrod Moiseyev
We will first focus on the mathematical requirement of outgoing boundary conditions, which render the real physical Hamiltonian non-Hermitian.
We will then discuss phenomena in nuclear, atomic, molecular, and optical physics that can be described by solutions of the time-independent non-Hermitian Schrödinger equation.
The advantages of non-Hermitian scattering theory will be highlighted, particularly in deriving closed-form expressions for various structures in cross sections across different fields of physics.
We will also demonstrate how non-Hermitian quantum mechanics enables the discovery of novel physical phenomena that cannot be explained within the framework of standard Hermitian quantum mechanics.
Throughout the course, different projects will be suggested to participants, closely related to their own research topics.
Format: Two-hour lecture + one-hour tutorial every week.
