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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova

Trudy Mat. Inst. Steklova, 1999, Volume 225, Pages 301–318 (Mi tm728)

Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2
R. G. Novikov

References

1. Faddeev L. D., Matematicheskie voprosy kvantovoi teorii rasseyaniya dlya sistemy trekh chastits, Tr. MIAN, 69, Izd-vo AN SSSR, L., 1963  mathnet  mathnet  mathscinet
2. Faddeev L. D., “Rastuschie resheniya uravneniya Shrëdingera”, DAN SSSR, 165 (1965), 514–517  mathnet  zmath
3. Faddeev L. D., “Obratnaya zadacha kvantovoi teorii rasseyaniya, II”, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Nov. dostizh., 3, VINITI, M., 1974, 93–180  mathnet  mathscinet
4. Manakov S. V., “Metod obratnoi zadachi rasseyaniya i dvumernye evolyutsionnye uravneniya”, UMN, 31:5 (1976), 245–246  mathnet  mathscinet  zmath
5. Dubrovin B. A., Krichever I. M., Novikov S. P., “Uravnenie Shrëdingera v magnitnom pole i rimanovy poverkhnosti”, DAN SSSR, 229 (1976), 15–18  mathnet  mathscinet  zmath
6. Veselov A. P., Novikov S. P., “Konechnozonnye dvumernye operatory Shrëdingera. Yavnye formuly i evolyutsionnye uravneniya”, DAN SSSR, 279 (1984), 20–24  mathnet  mathscinet  zmath
7. Veselov A. P., Novikov S. P., “Konechnozonnye dvumernye operatory Shrëdingera. Vydelenie potentsialnykh operatorov. Veschestvennaya teoriya”, DAN SSSR, 279 (1984), 784–788  mathnet  mathscinet  zmath
8. Beals R., Coifman R. R., “Multidimensional inverse scattering and nonlinear partial differential equations”, Proc. Symp. Pure Math., 43, 1985, 45–70  mathscinet  zmath
9. Grinevich P. G., Manakov S. V., “Obratnaya zadacha rasseyaniya dlya dvumernogo operatora Shrëdingera, $\bar\partial$-metod i nelineinye uravneniya”, Funktsion. analiz i ego pril., 20:2 (1986), 14–24  mathnet  mathscinet  zmath
10. Novikov R. G., Khenkin G. M., “$\bar\partial$-Uravnenie v mnogomernoi obratnoi zadache rasseyaniya”, UMN, 42:3 (1987), 93–152  mathnet  mathscinet  zmath
11. Eskin G., Ralston J., “The inverse back-scattering problem in three dimensions”, Communs Math. Phys., 124 (1989), 169–215  crossref  mathscinet  zmath  adsnasa
12. Eskin G., Ralston J., “Inverse back-scattering in two dimensions”, Communs Math. Phys., 138 (1991), 451–486  crossref  mathscinet  zmath  adsnasa
13. Novikov R. G., “The inverse scattering problem on a fixed energy level for the two-dimensional Schrödinger operator”, J. Funct. Anal., 103 (1992), 409–463  crossref  mathscinet  zmath  isi
14. Novikov R. G., “Rapidly converging approximation in inverse quantum scattering in dimension 2”, Phys. Lett. A, 238 (1998), 73–78  crossref  mathscinet  zmath  adsnasa  isi


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