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Two‐Point Functions
Author(s) -
Jeganova I. A.,
Shirokov M. I.
Publication year - 1968
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19684760502
Subject(s) - solenoidal vector field , physics , scattering , quantum electrodynamics , action (physics) , radius , point (geometry) , dipole , wave function , photon , magnetic dipole , quantum mechanics , computational physics , classical mechanics , mathematics , mechanics , computer science , geometry , computer security , vector field
It is known that the scattering of a low‐energy particle by a potential of a small radius of action is satisfactorily described by the s ‐wave alone. In the present paper we give a method for obtaining functions by means of which the scattering of particle on two localized potentials separated by an arbitrary distance 2 d can be described with the aid of two waves alone. Two‐point solenoidal vector functions are also obtained. In the case of two centers they play the same role as the well‐known electric and magnetic multipoles in one‐centre problems (for example, problems of scattering or emission of a photon in the dipole approximation).