A contour integration technique is developed which enforces the initial conditions for wavepacket‐potential scattering. The expansion coefficients for the exact energy eigenstate expansion are automatically expressed in terms of the plane wave expansion coefficients of the initial wavepacket thereby simplifying what is usually a tedious, mathematical process. The method is applicable regardless of the initial spatial separation of the wavepacket from the scattering center.

1.
Roger G. Newton, Scattering Theory of Waves and Particles (McGraw‐Hill, New York, 1966), Chap. 12, Sec. 12.1.2, P. 340.
2.
See Ref. 1, p. 331.
3.
See Ref. 1, p. 373.
4.
Leonard I. Schiff, Quantum Mechanics (McGraw‐Hill, New York, 1955), 2nd ed., Chap. 4, pp. 77–9.
5.
See Ref. 1, Chap. 12.
6.
See Ref. 1, p. 347.
7.
See Ref. 1, p. 373.
8.
Marvin L. Goldberger and Kenneth M. Watson, Collision Theory (Wiley, New York, 1964), Chap. 8.
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© 1977 American Institute of Physics.
1977
American Institute of Physics
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