scholarly journals Singularities of partial-wave amplitudes arising from the third double-spectral function

1964 ◽  
Vol 31 (5) ◽  
pp. 1079-1085 ◽  
Author(s):  
C. K. Jones ◽  
V. L. Teplitz
Keyword(s):  
Spectral Function ◽  
Partial Wave ◽  
The Third ◽  
Double Spectral Function

Some analytic properties of three-pion decay amplitudes

1962 ◽  
Vol 266 (1324) ◽  
pp. 68-83 ◽  
Keyword(s):  
Dispersion Relation ◽  
Spectral Function ◽  
Decay Amplitude ◽  
Dispersion Relations ◽  
Pion Decay ◽  
Physical Domain ◽  
Physical Sheet ◽  
Double Dispersion ◽  
Double Spectral Function

It is shown for all graphs of the ‘strip approximation’ that the K ->3n decay amplitude obeys a Mandelstam double-dispersion relation. The double spectral function turns out to be complex and covers the whole physical domain, so that the Cini-Fubini approximation is no longer valid. Essential singularities are found on the border of the physical sheet. Double-dispersion relations in one energy and in the K mass are also derived.

Upper Bound for the Double Spectral Function in Potential Scattering

1965 ◽  
Vol 6 (4) ◽  
pp. 637-643 ◽  
Author(s):  
D. Bessis
Keyword(s):  
Spectral Function ◽  
Upper Bound ◽  
Potential Scattering ◽  
Double Spectral Function

Singularities of the double spectral function in potential scattering theory

1969 ◽  
Vol 61 (4) ◽  
pp. 638-643 ◽  
Author(s):  
O. Brander
Keyword(s):  
Spectral Function ◽  
Scattering Theory ◽  
Potential Scattering ◽  
Double Spectral Function

Upper Bound for the Double Spectral Function in Potential Scattering

1965 ◽  
Vol 20 (5) ◽  
pp. 643-648
Author(s):  
Charles Thompson
Keyword(s):  
Spectral Function ◽  
Upper Bound ◽  
Potential Scattering ◽  
Double Spectral Function

Bound on the double spectral function for a class of Yukawian potentials

1967 ◽  
Vol 3 (3) ◽  
pp. 195-206 ◽  
Author(s):  
M. Bertero ◽  
H.J. Kreuzer
Keyword(s):  
Spectral Function ◽  
Double Spectral Function

l-dependence, singularities, and the double-spectral function

1966 ◽  
Vol 41 (2) ◽  
pp. 266-269 ◽  
Author(s):  
J. J. Brehm
Keyword(s):  
Spectral Function ◽  
Double Spectral Function

scholarly journals Eigenvalues of the Laplacian for the third boundary value problem

1987 ◽  
Vol 29 (1) ◽  
pp. 79-87 ◽  
Author(s):  
E. M. E. Zayed
Keyword(s):  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Spectral Function ◽  
Boundary Value ◽  
Two Dimensional ◽  
Impedance Boundary ◽  
Impedance Boundary Conditions ◽  
The Third ◽  
Eigenvalues Of The Laplacian ◽  
Third Boundary Value Problem

AbstractThe spectral function , where are the eigenvalues of the two-dimensional Laplacian, is studied for a variety of domains. The dependence of θ(t) on the connectivity of a domain and the impedance boundary conditions is analysed. Particular attention is given to a doubly-connected region together with the impedance boundary conditions on its boundaries.

Third double-spectral function effects

1968 ◽  
Vol 54 (2) ◽  
pp. 529-531 ◽  
Author(s):  
J. H. Schwarz
Keyword(s):  
Spectral Function ◽  
Double Spectral Function
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