Integral representations of the wave and transition operators in nonrelativistic scattering theory

1971 ◽  
Vol 4 (1) ◽  
pp. 124-134 ◽  
Author(s):  
E. Prugovečki
Keyword(s):  
Scattering Theory ◽  
Integral Representations ◽  
Nonrelativistic Scattering Theory ◽  
Transition Operators ◽  
Nonrelativistic Scattering

Low-energy parameters in nonrelativistic scattering theory

1983 ◽  
Vol 148 (2) ◽  
pp. 308-326 ◽  
Author(s):  
S Albeverio ◽  
D Bolle ◽  
F Gesztesy ◽  
R Høegh-Krohn ◽  
L Streit
Keyword(s):  
Scattering Theory ◽  
Low Energy ◽  
Nonrelativistic Scattering Theory ◽  
Energy Parameters ◽  
Nonrelativistic Scattering

On the Calculation of Nonlinear Spinor Field Functionals. III

1976 ◽  
Vol 31 (6) ◽  
pp. 528-539
Author(s):  
H. Stumpf
Keyword(s):  
Spectral Decomposition ◽  
Spinor Field ◽  
Scattering Theory ◽  
Integration Method ◽  
Nonlinear Spinor ◽  
Spinor Theory ◽  
Scattering States ◽  
Irreducible Part ◽  
Nonrelativistic Scattering ◽  
Inelastic Processes

The limitations of the Green functions method concerning nonlinear spinor theory are discussed. To remove these difficulties, functional quantum theory of the nonlinear spinor field was introduced in preceding papers. To obtain numerical values for the global observables in this theory, the functional eigenstates have to be calculated. In this paper especially for functional scattering states appropriate equations are derived. A general integration method of the spinor field functional equation is introduced, leading to an equation for the irreducible part of the state functional. Generating functionals are defined, allowing a separation of selfenergy and interactionenergy terms in the equation of the irreducible part. By spectral decomposition of the scattering functionals the boundary conditions are examined, which lead in connection with selfenergy and interactionenergy terms to the construction of channel equations for the irreducible part of elastic scattering functionals. The method is extented to inelastic processes, it can be tested in the case of nonrelativistic scattering theory. The procedure for the three particle case is discussed in some details

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