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[en] A few consequences of the uniqueness of the scattering wavefunction in non-break up channel are discussed. (author)
Journal
Pramana; ISSN 0304-4289; 
; v. 18(6); p. 495-500
; v. 18(6); p. 495-500
[en] The generalized Schwinger variational principle is shown to be equivalent to one of the three versions of the Rayski method. In the case of a spherically symmetric potential the Kohn-type variational principle is introduced and the relationship between methods mentioned above is found. Another version of the Rayski method is connected to a minimum variational principle and yields a convergent process for computing the exact solution of the Lippmann-Schwinger equation for the short-range potentials. (orig.)
Journal
[en] The recently proposed functional of Takatsuka and McKoy, derived from the Schwinger-type Newton functional, is shown to follow from the usual Hulthen-Kohn variational principle. A generalization of their method becomes obvious in this approach and its better convergence is demonstrated on a simple example
Journal
Phys. Rev., A; ISSN 0556-2791; ; v. 27(4); p. 2245-2247
; v. 27(4); p. 2245-2247
[en] The Borel summability method is applied to summing diverging Born series obtained from the Lippmann-Schwinger equation for the two-body T matrix with the confluent form of the epsilon-algorithm of Wynn with the Borel method is shown to yield a rapidly converging solution of the scattering equations of comparable accuracy to other standard methods
Journal
Nuovo Cimento. A; ISSN 0369-3546; ; v. 76(4); p. 615-626
; v. 76(4); p. 615-626
[en] The analytic continuation of t-matrix and scattering matrix onto the Riemann surface is studied in the multichannel problem. For t and s matrices on all the sheets, the explicit representations are obtained in terms of t and s matrices on the physical sheet
Journal
[en] Cluster model approximation for the resolvent operator can reduce many-body Lippmann-Schwinger equations to an efective two-body equation. It is shown that such approximation may suppress mathematical mechanisms for rearrangement processes. This leads then to highly reduced wave functions and weak effective intercluster potentials. (L.C.)
[pt]
A aproximacao do modelo de aglomerado para o operador resolvente pode reduzir as equacoes de muito-corpos de Lippmann-Schwinger a uma equacao efetiva de dois corpos. Mostra-se que tal aproximacao deve suprimir os mecanismos matematicos para os processos de rearranjamento. Isso leva entao a funcoes de onda altamente reduzidas e potenciais interaglomerados efetivos fracos. (L.C.)Journal
Revista Brasileira de Fisica; ISSN 0374-4922; ; p. 289-291
; p. 289-291
[en] A simple rule is given for the Lippman-Schwinger equation for the analytic continuation of the integral equations with a Cauchy kernel on an unphysical energy sheet E (Im√E<0). The result obtained in this paper makes it possible to determine the virtual and resonance poles of the S matrix, and also the vertex decay (fusion) functions of the corresponding states by using the standard methods of calculating the bound states
Journal
JETP Letters; ISSN 0021-3640; ; v. 33(7); p. 363-367
; v. 33(7); p. 363-367
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