13/03/2014, 16:30 — 17:30 — Room P3.10, Mathematics Building
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.