6533b833fe1ef96bd129c0ea
RESEARCH PRODUCT
Quadratic ${\mathcal P}{\mathcal T}$-symmetric operators with real spectrum and similarity to self-adjoint operators
Sandro GraffiJohannes SjöstrandMichael HitrikEmanuela Calicetisubject
Statistics and ProbabilityPure mathematicsSimilarity (geometry)Spectrum (functional analysis)General Physics and AstronomyStatistical and Nonlinear PhysicsOperator (computer programming)Quadratic equationFundamental matrix (linear differential equation)Modeling and SimulationQuadratic differentialMathematical PhysicsSelf-adjoint operatorMathematicsdescription
It is established that a -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.This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Quantum physics with non-Hermitian operators’.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-10-23 | Journal of Physics A: Mathematical and Theoretical |