Literature Cited
L. M. Brekhovskikh, Waves in Layered Media [in Russian], Nauka, Moscow (1973).
V. V. Babikov, The Method of Variable Phase Functions in Quantum Mechanics [in Russian], Nauka, Moscow (1976).
L. D. Faddeev, Tr. Mosk. Inst. Akad. Nauk.,73, 314 (1964).
B. M. Levitan, Inverse Sturm—Liouville Problems [in Russian], Mir, Moscow (1984).
F. Calogero and A. Degasperis, Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations, Vol. 1 (Studies in Math. and its Applications, Vol. 13), North-Holland, Amsterdam (1982).
V. de Alfaro and T. Regge, Potential Scattering, Amsterdam (1965).
M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 3, Academic Press, New York (1979).
F. A. Berezin and M. A. Shubin, Schrödinger Equations [in Russian], Published by Moscow State University, Moscow (1983), Chap. 2, §3.
E. C. Titchmarsh, Eigenfunction Expansions Associated with Second-Order Differential Equations, Vol. 1, Clarendon Press, Oxford (1948), §§10.2, 9.6.
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1965).
Additional information
Moscow Institute of Electronic Engineering. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 79, No. 1, pp. 79–92, April, 1989.
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Lubenets, E.R. Estimates of the scattering data in a Schrödinger spectral problem on the line. Theor Math Phys 79, 396–406 (1989). https://doi.org/10.1007/BF01015780
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DOI: https://doi.org/10.1007/BF01015780