Literature Cited
K. Chadan and P. C. Sabatier, Inverse Problems in Quantum Scattering Theory, Springer, Berlin (1977).
Yu. L. Mentkovskii, Particles in a Nuclear-Coulomb Field [in Russian], Énergoatomizdat, Moscow (1982).
B. M. Levitan, Inverse Sturm-Liouville Problems [in Russian], Nauka, Moscow (1984).
B. N. Zakhar'ev and A. A. Suz'ko, Potentials and Quantum Scattering. Direct and Inverse Problems [in Russian], Energoatomizdat, Moscow (1985).
M. N. Popushoi, Ukr. Fiz. Zh.,29, 24 (1984).
I. V. Poplavskii, Ukr. Fiz. Zh.,29, 1148 (1984).
M. N. Popushoi, Teor. Mat. Fiz.,63, 340 (1985).
I. V. Bogdanov and Yu. N. Demkov, Zh. Eksp. Teor. Fiz.,82, 1798 (1982).
D. I. Abramov, Teor. Mat. Fiz.,58, 244 (1984).
B. N. Zakhar'ev and B. V. Rudyak, “The inverse problemfor aE + bℓ(ℓ + 1) = const and new exactly solvable models,” Preprint 4-84-759 [in Russian], JINR, Dubna (1984).
M. M. Crum, Q. J. Math.,6, 121 (1955).
M. M. Krein, Dokl. Akad. Nauk SSSR,76, 21, 345 (1951).
A. G. Sitenko, Lectures on Scattering Theory [in Russian], Vishcha Shkola, Kiev (1971).
I. V. Poplavskii and A. A. Shiyan, Ukr. Fiz. Zh.,29, 5 (1984).
R. W. Theis, Z. Naturforsch. Teil A,11, 889 (1956).
V. V. Malyarov, I. V. Poplavskii, and M. N. Popushoi, Zh. Eskp. Teor. Fiz.,68, 332 (1975).
Additional information
Odessa Constructional Engineering Institute. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 69, No. 3, pp. 466–474, December, 1986.
Rights and permissions
About this article
Cite this article
Popushoi, M.N. On the inverse problem for the scattering theory of charged particles when there is a linear relationship between the energy, the square of the orbital angular momentum, and the Coulomb coupling constant. Theor Math Phys 69, 1272–1278 (1986). https://doi.org/10.1007/BF01017625
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01017625