Geodesic
Spurious solutions of Faddeev equations with central potentials
Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 3, pp. 501-512 Cet article a éte moissonné depuis la source Math-Net.Ru

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Spurious solutions of the differential Faddeev equations for the system of three different particles interacting via central potentials are investigated within the hyperharmonics approach. The criterion for existence of the spurious solutions is proven and the method for the construction of these solutions is proposed. The results obtained are exemplified. 
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V. V. Pupyshev. Spurious solutions of Faddeev equations with central potentials. Teoretičeskaâ i matematičeskaâ fizika, Tome 107 (1996) no. 3, pp. 501-512. http://geodesic.mathdoc.fr/item/TMF_1996_107_3_a10/

[1] L. D. Faddeev, Matematicheskie voprosy kvantovoi teorii rasseyaniya dlya sistemy trekh chastits, Trudy MIAN, 69, Nauka, M., 1963 | MR | Zbl

[2] S. P. Merkurev, L. D. Faddeev, Kvantovaya teoriya rasseyaniya dlya sistem neskolkikh chastits, Nauka, M., 1985 | MR

[3] S. P. Merkuriev, Ann. Phys., 130:2 (1980), 395–426 | DOI | MR | Zbl

[4] A. A. Kvitsinskii, Yu. A. Kuperin, S. P. Merkurev i dr., EChAYa, 17:2 (1986), 267–317 | MR

[5] A. A. Kvitsinskii, V. V. Kostrykin, S. P. Merkurev, EChAYa, 21:6 (1990), 1301–1359 | MR

[6] S. K. Adhikari, W. Glöckle, Phys. Rev., C19:3 (1979), 616–630 | MR

[7] F. S. Levin, Ann. of Phys., 130:1 (1980), 139–163 | DOI | MR

[8] J. W. Evans, J. Math. Phys., 22:8 (1981), 1672–1686 | DOI | MR

[9] J. W. Evans, D. K. Hoffman, J. Math. Phys., 22:12 (1981), 2858–2871 | DOI | MR

[10] S. L. Yakovlev, Some spectral properties for the Faddeev matrix operator and its adjoint one, Preprint LTPE Orsay 91/14, 1991

[11] J. F. Friar, B. F. Gibson, G. L. Payne, Phys. Rev., C22:1 (1980), 284–286 | MR

[12] V. V. Pupyshev, TMF, 81:1 (1989), 86–93 | MR

[13] V. V. Pupyshev, Phys. Lett., A140:4 (1989), 151–154 | DOI | MR

[14] V. V. Pupyshev, Few Body System, 8:2 (1990), 105–122 | DOI | MR

[15] M. Fabre de la Ripelle, S. Y. Larsen, Few Body System, 13:3 (1992), 199–206

[16] R. I. Dzhibuti, N. B. Krupennikova, Metod gipersfericheskikh funktsii v kvantovoi mekhanike neskolkikh tel, Metsniereba, Tbilisi, 1984 | MR | Zbl

[17] R. I. Dzhibuti, K. V. Shitikova, Metod gipersfericheskikh funktsii v atomnoi i yadernoi fizike, Energoatomizdat, M., 1993

[18] L. C. Biedenharn, J. D. Louck, Angular momentum in quantum physics, V. 1, Addison-Wesley Publishing Company, Reading, 1981 | MR

[19] J. Raynal, J. Revai, Nuovo Cim., A68:4 (1970), 612–622 | DOI | MR

[20] V. D. Efros, YaF, 17:1 (1973), 210–224 | MR

[21] P. Lankaster, Theory of matrices, Academic Press, New York–London, 1969 | MR

[22] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, T. 1, Nauka, M., 1974 | MR