The spectral density of the scattering matrix for high energies
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🧮 math.SP
math-phmath.MP
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densityhighmatrixpotentialscatteringasymptoticdetermineeigenvalues
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We determine the density of eigenvalues of the scattering matrix of the Schrodinger operator with a short range potential in the high energy asymptotic regime. We give an explicit formula for this density in terms of the X-ray transform of the potential.
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