Universal Journal of Physics and Application Vol. 1(1-2), pp. 51 - 104
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CONTRADICTIONS IN SCATTERING THEORY

AUTHOR(S) INFORMATION: Ignatovich V.K.

ABSTRACT

The standard scattering theory (SST) in non relativistic quantum mechanics (QM) is analyzed. Self-contradictions of SST are demonstrated. A direct way to calculate scattering probability without introduction of a finite volume is discussed. Substantiation of SST in textbooks with the help of wave packets is shown to be incomplete. A complete theory of wave packets scattering on a fixed center is presented, and its similarity to the plane wave scattering is demonstrated. The neutron scattering on a monatomic gas is investigated, and several problems are pointed out. A catastrophic ambiguity of the cross section is revealed, and a way to resolve this ambiguity is discussed.