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8 votes
1 answer
359 views

Lax pairs in an abstract formalism

I am reading Integrals of Nonlinear Equations of Evolution and Solitary Waves by Peter Lax and I'm having a hard time. The methods are pioneering, of course, but Lax does not bother much to provide ...
4 votes
1 answer
165 views

Scattering of relativistic particle by long-range potential

Let $\mathcal{H}=L^2(\mathbb{R}^3)$, $H_0=\sqrt{-\Delta+M^2}$, ($M$ is a positive constant, $\Delta$ is the laplacian) and $H=H_0+V(\vec{x})$ (where $V(\vec{x})$ is the operator of ...