On analytic nonlocal potentials. II. Analyticity of the S matrix, for fixed l, its representations, and a dispersion relation for fixed t

1974 ◽  
Vol 15 (8) ◽  
pp. 1211-1224 ◽  
Author(s):  
Te Hai Yao
Keyword(s):  
Dispersion Relation ◽  
S Matrix ◽  
Nonlocal Potentials

Dynamic Form of Static Dispersion Relations and Projective Spaces

1997 ◽  
Vol 12 (01) ◽  
pp. 249-254 ◽  
Author(s):  
V. A. Meshcheryakov
Keyword(s):  
Dispersion Relation ◽  
Global Analysis ◽  
Projective Spaces ◽  
Analytical Continuation ◽  
Physical Sheet ◽  
System Of Difference Equations ◽  
Static Limit ◽  
Crossing Symmetry ◽  
S Matrix ◽  
Dynamic Form

The S-matrix in the static limit of a dispersion relation has a finite order N and is a matrix of meromorfic functions of energy ω in the plane with cuts (-∞, -1],[+1, = ∞). In the elastic case it reduces to N functions Si(ω) conncted by the crossing symmetry matrix A. The problem of analytical continuation of Si(ω) from the physical sheet to unphysical ones can be treated as a nonlinear system of difference equations. It is shown that a global analysis of this system can be carried out effectively in projective spaces PN and PN+1. The connection between spasec PN and PN+1 is discussed.

Causality and the dispersion relation: S-matrix for the Maxwell field

1957 ◽  
Vol 1 (1) ◽  
pp. 91-111 ◽  
Author(s):  
David Y Wong ◽  
John S Toll
Keyword(s):  
Dispersion Relation ◽  
Maxwell Field ◽  
S Matrix

scholarly journals Surface Plasmon - Guided Mode strong coupling

2012 ◽  
Vol 1 (2) ◽  
pp. 85
Author(s):  
A. Castanié ◽  
D. Felbacq ◽  
B. Guizal
Keyword(s):  
Dispersion Relation ◽  
Surface Plasmons ◽  
Strong Coupling ◽  
Surface Plasmon ◽  
Layered Structure ◽  
Cauchy Integral ◽  
Dispersion Diagram ◽  
Matrix Algorithm ◽  
Guided Mode ◽  
S Matrix

It is shown that it is possible to realize strong coupling between a surface plasmon and a guided mode in a layered structure. The dispersion relation of such a structure is obtained through the S-matrix algorithm combined with the Cauchy integral technique that allows for rigorous computations of complex poles. The strong coupling is demonstrated by the presence of an anticrossing in the dispersion diagram and simultaneously by the presence of a crossing in the loss diagram. The temporal characteristics of the different modes and the decay of the losses in the propagation of the hybridized surface plasmons are studied.

AN INVERSE SCATTERING PROBLEM FOR NONLOCAL POTENTIALS II: THE FAMILY OF PHASE EQUIVALENT POTENTIALS

1987 ◽  
Vol 02 (03) ◽  
pp. 177-182 ◽  
Author(s):  
V.M. MUZAFAROV
Keyword(s):  
Inverse Scattering ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Algebraic Equations ◽  
Constructive Description ◽  
The Family ◽  
S Matrix ◽  
Dense Set ◽  
Rational Type ◽  
Nonlocal Potentials

Starting from the general positioning of an inverse scattering problem for the Schrodinger equation with nonlocal potentials, we give a constructive description of the family of phase equivalent two-body potentials. It is shown that if the S-matrix Sl(k) is of a rational type in k then for a dense set of potentials our main integral equation comes to a system of second-order algebraic equations, and these potentials are of a separable form. This essentially resolves all computational problems when dealing with the nuclear few-body problems.

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