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We employ the method used by Barbashov and collaborators in Quantum Field Theory to derive a path-integral representation of the $T$-matrix in nonrelativistic potential scattering which is free of functional integration over fictitious variables as was necessary before.
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B. M. Barbashov, S. P. Kuleshov, V. A. Matveev, V. N. Pervushin, A. N. Sissakian and A. N. Tavkhelidze: “Straight-line paths approximation for studying high-energy elastic and inelastic hadron collisions in quantum field theory,” Phys. Lett. B 33
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R. Rosenfelder: “Path Integrals for Potential Scattering,” Phys. Rev. A 79
2009
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2010
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2011
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