摘要

An inverse scattering problem for a quantized scalar field phi obeying a linear Klein-Gordon equation (square + m(2) + V) phi = J in R x R(3) is considered, where V is a repulsive external potential and J an external source. We prove that the scattering operator l = l(V, J) associated with phi uniquely determines V. Assuming that J is of the form J(t, x) = j(t)rho(x), (t, x) is an element of R x R(3), we represent rho (resp. j) in terms of j (rasp. rho) and l.

  • 出版日期2011-6

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