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Convergent Quantum Normal Forms, ${\mathcal P}{\mathcal T}$-symmetry and reality of the spectrum
Convergent Quantum Normal Forms reality of the spectrum Mathematical Physics
2012/6/19
A class of non-selfadjoint, $\PT$-symmetric operators is identified similar to a self-adjoint one, thus entailing the reality of the spectrum. The similarity transformation is explicitly constructed t...
Classical Bethe Ansatz and Normal Forms in the Jaynes-Cummings Model
Classical Bethe Ansatz Normal Forms the Jaynes-Cummings Model
2011/7/28
Abstract: The Jaynes-Cummings-Gaudin model describes a collection of $n$ spins coupled to an harmonic oscillator. It is known to be integrable, so one can define a moment map which associates to each ...
Conservation laws and normal forms of evolution equations
Conservation laws normal forms evolution equations
2010/4/6
We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws. Exampl...