Summary
By replacing the potentials (local and nonlocal) of the Schrödinger equation by a finite-rank operator, we are able to obtain the phase shifts directly. The procedure, which is quite general, becomes specially suited for the low-energy limit, where exact expressions are obtainable.
Riassunto
Sostituendo i potenziali locali e non locali dell'equazione di Schrödinger con un operatore a rango finito si possono ottenere direttamente gli spostamenti di fase. La procedura, che è del tutto generale, diventa particolarmente adatta per il limite a basse energie, dove si possono ottenere espressioni esatte.
Резюме
Заменяя потенциалы (локальные и нелокаляные) уравнения Шредингера оператором конечного ранга, мы можем непосредственно получить фазовые сдвиги. Предложенная процедура которая является весьма общей, представляется удобной для рассмотрения предела низких энергий, где могут быть получены точные выражения.
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Footnotes
J. A. Wheeler:Phys. Rev.,52, 1083 (1937).
K. Wildermuth andW. Mc Clure:Cluster Representations of Nuclei, Springer Tracts in Modern Physics, Vol.41 (Berlin, 1966).
D. R. Thompson andY. C. Tang:Phys. Rev.,159, 806 (1967);K. Wildermuth:Acta Phys. Austriaca Suppl.,9, 1 (1972).
H. H. Robertson:Proc. Cambridge Philos. Soc.,52, 538 (1956).
L. Schlessinger andG. L. Payne:Phys. Rev. A,10, 1559 (1974).
M. Coz, A. Mc Keller andL. G. Arnold:Ann. Phys. (N. Y.),58, 504 (1970).
S. Weinberg:Phys. Rev.,130, 776 (1963);E. Hams:Phys. Rev. C,1, 1667 (1970);D. J. Ernst, C. M. Shakin andR. M. Thaler:Phys. Rev. C,8, 46 (1973);K. Adhikari:Phys. Rev. C,10, 1623 (1974).
B. Giraud, J. C. Hocquenghem andA. Lumbroso:Phys. Rev. C,7, 2274 (1973).
M. Gurdin andA. Martin:Nuovo Cimento,6, 757 (1957);Y. Yamaguchi:Phys. Rev.,95, 1628 (1954);N. F. Mott andH. S. W. Massey:The Theory of Atomic Collisions (Oxford, 1965).
V. Vento:Thesis, Universidad de Valencia (1977).
D. A. Liberman:Phys. Rev. D,16, 1542 (1977).
C. De Tar:Phys. Rev. D,17, 323 (1978);19, 100 (1979).
M. Harvey:Nucl. Phys. A,352, 326 (1981).
H. Toki:Nucl. Phys. A,358, 357 (1981).
V. Vento:Lett. Nuovo Cimento,20, 121 (1977).
A. Baranger, B. Giraud, S. K. Mukhopadhyay andP. U. Sauer:Nucl. Phys. A,138, 1 (1969).
B. Giraud andJ. Letourneux:Nucl. Phys. A,197, 410 (1972).
M. Abramowitz andI. Stegun:Handbook of Mathematical Functions (New York, N. Y., 1975);I. S. Gradstein andI. M. Ryzhik:Table of Integrals, Series and Products (New York, N. Y., 1965).
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Vento, V. A method for solving the resonating-group Schrödinger equation. Nuov Cim A 70, 25–37 (1982). https://doi.org/10.1007/BF02812734
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DOI: https://doi.org/10.1007/BF02812734