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Journal ArticleDOI

The formal theory of scattering

15 Jul 1953-Physical Review (American Physical Society)-Vol. 91, Iss: 2, pp 398-408
TL;DR: In this article, the theory of scattering is developed from first principles with strict attention to the question of the preparation of the state vector of the system appropriate to a description of scattering, and the connection between the present formulation and the more conventional interaction representation and S matrix presentations is traced.
Abstract: The theory of scattering is developed from first principles with strict attention to the question of the preparation of the state vector of the system appropriate to a description of scattering. The connection between the present formulation and the more conventional interaction representation and S matrix presentations is traced. The wave matrix of Moller is introduced and the existence of bound states is discussed in connection with it. A number of applications to rather involved processes are discussed. Finally, the problem of self-energies in field-theoretic scattering calculations is treated.

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Citations
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Journal ArticleDOI
TL;DR: In this article, a new formulation of the theory of nuclear reactions based on the properties of a generalized "optical" potential is presented, where the real and imaginary part of this potential satisfy a dispersion type relation while its poles give rise to resonances in nuclear reactions.

2,140 citations

Journal ArticleDOI
TL;DR: In this paper, the effective Hamiltonian method for nuclear reactions described in an earlier paper with the same title, part I, is generalized so as to include all possible reaction types, as well as the effects arising from the identity of particles.

1,846 citations

Journal ArticleDOI
TL;DR: A review of the GISAXS technique, from experimental issues to the theories underlying the data analysis, with a wealth of examples, can be found in this paper, where the authors introduce the notions of particle form factor and interference function, together with the different cases encountered according to the size/shape dispersion.

717 citations

Journal ArticleDOI
20 Nov 2016
TL;DR: This work proposes a direct-detection coherent receiver that combines the advantages of coherent transmission and the cost-effectiveness of direct detection, and is more efficient in terms of spectral occupancy and energy consumption.
Abstract: The interest for short-reach links of the kind needed for inter-data-center communications has fueled in recent years the search for transmission schemes that are simultaneously highly performing and cost effective. In this work we propose a direct-detection coherent receiver that combines the advantages of coherent transmission and the cost-effectiveness of direct detection. The working principle of the proposed receiver is based on the famous Kramers–Kronig (KK) relations, and its implementation requires transmitting a continuous-wave signal at one edge of the information-carrying signal spectrum. The KK receiver scheme allows digital postcompensation of linear propagation impairments and, as compared to other existing solutions, is more efficient in terms of spectral occupancy and energy consumption.

465 citations

Journal ArticleDOI
TL;DR: In this paper, the orthogonality and completeness properties of the resonant states as defined by Humblet and Rosenfeld are investigated using a simple regularization method first suggested by Zel'dovich.

453 citations