The PT Symmeter » Universite de Bourgogne 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 Quadratic PT-symmetric operators with real spectrum and similarity to self-adjoint operators http://ptsymmetry.net/?p=793&utm_source=rss&utm_medium=rss&utm_campaign=quadratic-pt-symmetric-operators-with-real-spectrum-and-similarity-to-self-adjoint-operators http://ptsymmetry.net/?p=793#comments Tue, 01 May 2012 10:03:51 +0000 dwh http://ptsymmetry.net/?p=793 Emanuela Caliceti, Sandro Graffi, Michael Hitrik, Johannes Sjoestrand

It is established that a PT-symmetric elliptic quadratic differential operator with real spectrum is similar to a self-adjoint operator precisely when the associated fundamental matrix has no Jordan blocks.

http://arxiv.org/abs/1204.6605
Mathematical Physics (math-ph); Quantum Physics (quant-ph)

]]> http://ptsymmetry.net/?feed=rss2&p=793 0 PT symmetry and Weyl asymptotics http://ptsymmetry.net/?p=495&utm_source=rss&utm_medium=rss&utm_campaign=pt-symmetry-and-weyl-asymptotics http://ptsymmetry.net/?p=495#comments Tue, 24 May 2011 08:31:02 +0000 dwh http://ptsymmetry.net/?p=495 Johannes Sjoestrand

For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is non-real, there are many non-real eigenvalues.

http://arxiv.org/abs/1105.4746
Spectral Theory (math.SP)

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