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Boundedness of total cross-sections in potential scattering. II (1980)

Martin, A.

Springer

Communications in mathematical physics 73 (1980), S. 79-81

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract If, in addition to the condition $$\frac{1}{{(4\pi )^2 }}\int {d^3 xd^3 x'} \frac{{|V(x)||V(x')|}}{{|x - x'|^2 }}〈 1$$ in units where 2M/ħ2 = 1, which guarantees that the total cross-section averaged over incident directions is finite, we have also $$\frac{1}{{(4\pi )}}\int {d^3 xd^3 x'} \frac{{|V(x)||V(x')|}}{{|x - x'|}}$$ finite, the total cross-section is finite for all energies and all directions of the incident beam.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01942695

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