The PT Symmeter » J. Viola http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 Pseudospectra in non-Hermitian quantum mechanics http://ptsymmetry.net/?p=1527&utm_source=rss&utm_medium=rss&utm_campaign=pseudospectra-in-non-hermitian-quantum-mechanics http://ptsymmetry.net/?p=1527#comments Thu, 06 Feb 2014 08:53:10 +0000 dwh http://ptsymmetry.net/?p=1527 D. Krejcirik, P. Siegl, M. Tater, J. Viola

We propose giving the mathematical concept of the pseudospectrum a central role in quantum mechanics with non-Hermitian operators. We relate pseudospectral properties to quasi-Hermiticity, similarity to self-adjoint operators, and basis properties of eigenfunctions. The abstract results are illustrated by unexpected wild properties of operators familiar from PT-symmetric quantum mechanics.

http://arxiv.org/abs/1402.1082

Spectral Theory (math.SP); Mathematical Physics (math-ph); Quantum Physics (quant-ph)

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