A Remark on Kac's Scattering Length Formula
A Remark on Kac's Scattering Length Formula
P.J. Fitzsimmons, Ping He, Jiangang Ying
The scattering length formula was formulated and proved in special
cases by M. Kac. It was discussed by a series of authors, including
M. Taylor, H. Tamura, Y. Takahashi. The formula was proved by M.
Takeda in symmetric case and by P. He assuming weak duality. In this
article, we shall use the powerful tool of Kutznetsov measures to prove this formula
in the general framework of right Markov processes without further assumptions.
A hard copy of this manuscript is available from the
first-named author upon request.
The manuscript can also be downloaded in
pdf form (92K).
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November 13, 2012
