University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Paul Finkler Papers Research Papers in Physics and Astronomy 10-15-1975 Path-integral formulation of scattering theory Paul Finkler University of Nebraska-Lincoln,
[email protected] C. Edward Jones University of Nebraska-Lincoln M. Misheloff University of Nebraska-Lincoln Follow this and additional works at: https://digitalcommons.unl.edu/physicsfinkler Part of the Physics Commons Finkler, Paul; Jones, C. Edward; and Misheloff, M., "Path-integral formulation of scattering theory" (1975). Paul Finkler Papers. 11. https://digitalcommons.unl.edu/physicsfinkler/11 This Article is brought to you for free and open access by the Research Papers in Physics and Astronomy at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Paul Finkler Papers by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. PHYSIC AL REVIE% D VOLUME 12, NUMBER 8 15 OCTOBER 1975 Path-integral formulation of scattering theory W. B. Campbell~~ Kellogg Radiation Laboratory, California Institute of Technology, Pasadena, California 91125 P. Finkler, C. E. Jones, ~ and M. N. Misheloff Behlen Laboratory of Physics, University of Nebraska, Lincoln, Nebraska 68508 (Received 14 July 1975} A new formulation of nonrelativistic scattering theory is developed which expresses the S matrix as a path integral. This formulation appears to have at least two advantages: (1) A closed formula is obtained for the 8 matrix in terms of the potential, not involving a series expansion; (2) the energy-conserving 8 function can be explicitly extracted using a technique analogous to that of Faddeev and Popov, thereby yielding a closed path- integral expression for the T matrix.