Generalized S-Matrix in Mixed Representation

@article{Ishikawa2005GeneralizedSI,
  title={Generalized S-Matrix in Mixed Representation},
  author={Kenzo Ishikawa and Takashi Shimomura},
  journal={Progress of Theoretical Physics},
  year={2005},
  volume={114},
  pages={1201-1234}
}
We formulate a generalized scattering amplitude in which the momenta and positions of incoming particles and outgoing particles are specified. Ideal beams and ideal measuring instruments, for which the momenta and positions realize the minimum uncertainty, are studied using minimum wave packets, i.e., coherent states. In the present work, we elucidate the general features of the genelarized scattering amplitudes based on Φ 4 theory. We prove the completeness of many body states and determine… 
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