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Prog. Theor. Phys. Vol. 14 No. 3 (1955) pp. 175-197

[ Full Text PDF : FREE ACCESS (1325K) ]

The Formal Theory of Scattering

Sigenobu Sunakawa

Department of Physics, Osaka University, Osaka

(Received June 23, 1955)

Abstract:

The time-dependent theory of scattering is reformulated. In §1, it is developed on the basis of a new limiting process which is self-consistent, and the equivalence is shown of Heisenberg's S-matrix and Dyson's one, when the total Hamiltonian permits the existence of bound states. In §2, a theory of scattering of wave packet is proposed in conformity with the physical picture. The damping factor e-ε|t| is derived from the amplitude of the wave packet. In §3, the rearrangement scattering is treated on the basis of the wave packet formalism.


URL : http://ptp.ipap.jp/link?PTP/14/175/
DOI : 10.1143/PTP.14.175

[ Full Text PDF : FREE ACCESS (1325K) ] Citation:

References:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 18 No. 1 (1957) pp. 51-65 :
    Criticism on the Assumptions in the Formal Scattering Theory
    Tsutomu Imamura
  2. Progress of Theoretical Physics Vol. 18 No. 6 (1957) pp. 559-566 :
    A New Approach to a Bound State
    Tsutomu Imamura
  3. Progress of Theoretical Physics Vol. 19 No. 3 (1958) pp. 221-237 :
    Quantum Electrodynamics with the Indefinite Metric
    Sigenobu Sunakawa
  4. Progress of Theoretical Physics Vol. 20 No. 3 (1958) pp. 257-266 :
    On the Concept of Potential in Quantum Field Theory
    Abraham Klein
  5. Progress of Theoretical Physics Vol. 20 No. 6 (1958) pp. 857-867 :
    Theory of Unstable Particles in the Wave-Packet-Formalism
    Kunio Yamamoto
  6. Progress of Theoretical Physics Vol. 21 No. 1 (1959) pp. 85-97 :
    Interpretation of the Optical Model in Nuclear Reactions
    Satio Hayakawa, Tatuya Sasakawa, Kazuhisa Tomita, Masaru Yasuno and Mario Yokota
  7. Progress of Theoretical Physics Vol. 23 No. 4 (1960) pp. 629-661 :
    One-Particle Motions in Many-Particle Systems and the Optical Model in Nuclear Reactions
    Mikio Namiki
  8. Progress of Theoretical Physics Vol. 24 No. 5 (1960) pp. 963-979 :
    On the Theory of Rearrangement Collisions
    Sigenobu Sunakawa
  9. Progress of Theoretical Physics Vol. 52 No. 1 (1974) pp. 131-146 :
    Theory of Scattering in Three-Particle System
    Masahiko Hirooka and Sigenobu Sunakawa

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