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19942026
most citedTraining Schrödinger's cat: quantum optimal control

779 citations

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Showing 2011 · math-phShow all

5 papers · 2 filters

math-ph2011★ 23 cited

Faddeev eigenfunctions for point potentials in two dimensions

Piotr Grinevich, Roman Novikov

We present explicit formulas for the Faddeev eigenfunctions and related generalized scattering data for point (delta-type) potentials in two dimensions. In particular, we obtain th…

math-ph2011

Absence of traveling wave solutions of conductivity type for the Novikov-Veselov equations at zero energy

Anna Kazeykina

We prove that the Novikov-Veselov equation (an analog of KdV in dimension 2 + 1) at zero energy does not have sufficiently localized soliton solutions of conductivity type.

math-ph2011★ 8 cited

Spectral theory for a mathematical model of the weak interaction: The decay of the intermediate vector bosons W+/-, II

Walter H. Aschbacher, Jean-Marie Barbaroux, Jérémy Faupin +1

We do the spectral analysis of the Hamiltonian for the weak leptonic decay of the gauge bosons W+/-. Using Mourre theory, it is shown that the spectrum between the unique ground st…

math-ph2011★ 4 cited

Broken translation invariance in quasifree fermionic correlations out of equilibrium

Walter H. Aschbacher

Using the C* algebraic scattering approach to study quasifree fermionic systems out of equilibrium in quantum statistical mechanics, we construct the nonequilibrium steady state in…

math-ph2011★ 12 cited

Absence of exponentially localized solitons for the Novikov--Veselov equation at negative energy

Anna Kazeykina, Roman Novikov

We show that Novikov--Veselov equation (an analog of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.