scholarly journals Infinite Component Wave Function and Scattering Amplitude. II

1971 ◽  
Vol 45 (6) ◽  
pp. 1967-1978
Author(s):  
Tetsuo Got\=o ◽  
Jun Otokozawa ◽  
Takashi Obara
Keyword(s):  
Wave Function ◽  
Scattering Amplitude ◽  
Component Wave ◽  
Infinite Component

scholarly journals C,PandTinc-Number Infinite Component Wave Function

1971 ◽  
Vol 45 (6) ◽  
pp. 1979-1986
Author(s):  
Sigefumi Naka ◽  
Tetsuo Got\=o
Keyword(s):  
Wave Function ◽  
Component Wave ◽  
Infinite Component

Infinite-Component Wave Equations and Mass Splittings Within SU(3) and SU(2) Multiplets

1972 ◽  
Vol 5 (9) ◽  
pp. 2327-2331 ◽  
Author(s):  
A. O. Barut ◽  
William Brink Monsma
Keyword(s):  
Wave Equations ◽  
Component Wave ◽  
Infinite Component

Finite- and Infinite-Component Wave Equations

1969 ◽  
Vol 22 (18) ◽  
pp. 972-974 ◽  
Author(s):  
I. Gyuk ◽  
H. Umezawa
Keyword(s):  
Wave Equations ◽  
Component Wave ◽  
Infinite Component

Scattering by Two Impenetrable Spheres

1973 ◽  
Vol 51 (17) ◽  
pp. 1850-1860
Author(s):  
M. Razavy
Keyword(s):  
Wave Function ◽  
Scattering Amplitude ◽  
Hard Spheres ◽  
Scattering Length ◽  
Separation Of Variables ◽  
Scattered Wave ◽  
Simple Expression ◽  
Rigid Spheres ◽  
Low Energies ◽  
Bispherical Coordinates

The problem of multiple scattering by two rigid spheres is studied in the context of an effective range theory. At low energies, by expanding the total wave function in powers of the momentum of the incident particle, it is observed that the coefficients of different terms of the expansion are solutions of either Laplace or Poisson equations. These equations are separable in bispherical coordinates. Using the method of separation of variables, one can determine the scattering amplitude and its first and second derivatives with respect to momentum, at zero energy. In particular, a simple expression is obtained for the scattering length of two hard spheres. With the help of the Green's function in bispherical coordinates, it is shown that for any wavenumber, the scattered wave satisfies an inhomogeneous integral equation in two variables. Hence, the exact wave function and the scattering amplitude can be found numerically for all energies.

Impact Parameter Representations

1972 ◽  
Vol 50 (16) ◽  
pp. 1862-1875 ◽  
Author(s):  
A. N. Kamal
Keyword(s):  
Wave Function ◽  
Impact Parameter ◽  
Momentum Space ◽  
Scattering Amplitude ◽  
Function Approach ◽  
Coordinate Space ◽  
Energy Shell ◽  
Parameter Representation ◽  
The Relationship

A discussion of the Glauber and Blankenbecler–Goldberger impact parameter representation for the scattering amplitude is presented with emphasis on the wave function approach. The treatment makes clear the relationship between the approximations made to derive either of the two amplitudes. Both on-energy-shell and off-energy-shell scatterings are treated. A derivation of the two representations in momentum space is presented bringing out the relationship between the approximations in a coordinate space treatment and the momentum space treatment.

Relativistic infinite-component wave equation for H-Atom with spin

1969 ◽  
Vol 30 (6) ◽  
pp. 352-353 ◽  
Author(s):  
A.O. Barut ◽  
A. Baiquni
Keyword(s):  
Wave Equation ◽  
Component Wave ◽  
Infinite Component
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