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5 papers · 1 filter
On the ground state energy of the translation invariant Pauli-Fierz model
Jean-Marie Barbaroux, Thomas Chen, Vitali Vougalter +1
In this note, we determine the ground state energy of the translation invariant Pauli-Fierz model to subleading order with respect to powers of the finestructure constant…
The resonance counting function for Schrödinger operators with generic potentials
T. Christiansen, P. D. Hislop
We show that the resonance counting function for a Schrödinger operator has maximal order of growth for generic sets of real-valued, or complex-valued, -compactly support…
On half-line spectra for a class of non-self-adjoint Hill operators
Kwang C. Shin
In 1980, Gasymov showed that non-self-adjoint Hill operators with complex-valued periodic potentials of the type , with $\sum_{k=1}^{\infty}|a…
Fredholm Differential Operators with Unbounded Coefficients
Yuri Latushkin, Yuri Tomilov
We prove that a first order linear differential operator G with unbounded operator coefficients is Fredholm on spaces of functions on the real line with values in a reflexive Banac…
Essential spectrum of the linearized 2D Euler equation and Lyapunov-Oseledets exponents
Roman Shvydkoy, Yuri Latushkin
The linear stability of a steady state solution of 2D Euler equations of an ideal fluid is being studied. We give an explicit geometric construction of approximate eigenfunctions f…