Seminário de Teoria de Operadores, Análise Complexa e Aplicações 

13/03/2014, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
David Krejcirik, Nuclear Physics Institute ASCR, Czech Republic

Pseudospectra in non-Hermitian quantum mechanics

We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics with non-self-adjoint operators. We relate pseudospectral properties to quasi-self-adjointness, similarity to self-adjoint operators and basis properties of eigenfunctions. Applying microlocal techniques for the location of the pseudospectrum of semiclassical operators to models familiar from recent physical literature, unexpected wild properties of the operators are revealed. This is joint work with Petr Siegl, Milos Tater and Joe Viola.