Progress in methods to solve the Faddeev and Yakubovsky differential equations
作者： A. K. Motovilov
DOI: 10.1007/S00601-008-0219-5
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摘要: We shortly recall the derivation of Faddeev-Yakubovsky differential equations and point out their main advantages. Then we give a review numerical approaches used to solve bound-state scattering problems for three- four-body systems based on these equations. A particular attention is payed latest developments.
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V. A. Roudnev, S. L. Yakovlev, S. A. Sofianos, Bound State Calculations for Three Atoms Without Explicit Partial Wave Decomposition Few-body Systems. ,vol. 37, pp. 179- 196 ,(2005) , 10.1007/S00601-005-0114-2
S. P. Merkuriev, A. K. Motovilov, Faddeev equations for simple-layer potential density Letters in Mathematical Physics. ,vol. 7, pp. 497- 503 ,(1983) , 10.1007/BF00402249
S.P. Merkuriev, S.L. Yakovlev, C. Gignoux, Four-body Yakubovsky differential equations for identical particles Nuclear Physics. ,vol. 431, pp. 125- 138 ,(1984) , 10.1016/0375-9474(84)90057-5
E Nielsen, D V Fedorov, A S Jensen, The structure of the atomic helium trimers: halos and Efimov states Journal of Physics B. ,vol. 31, pp. 4085- 4105 ,(1998) , 10.1088/0953-4075/31/18/008
E.A. Kolganova, A.K. Motovilov, W. Sandhas, Ultracold scattering processes in three-atomic helium systems⋆ Nuclear Physics. ,vol. 790, pp. 752- 756 ,(2007) , 10.1016/J.NUCLPHYSA.2007.03.120
S. P. Merkur'ev, A. K. Motovilov, S. D. Yakovlev, Few-body problem in the boundary condition model and quasipotentials Theoretical and Mathematical Physics. ,vol. 94, pp. 306- 314 ,(1993) , 10.1007/BF01017263
V. Roudnev, Ultra-low energy elastic scattering in a system of three He atoms☆ Chemical Physics Letters. ,vol. 367, pp. 95- 101 ,(2003) , 10.1016/S0009-2614(02)01658-5
A. Laverne, C. Gignoux, A detailed analysis of 3H from Faddeev equations in configuration space Nuclear Physics A. ,vol. 203, pp. 597- 608 ,(1973) , 10.1016/0375-9474(73)90366-7
S. P. Merkur'ev, S. L. Yakovlev, Quantum N-body scattering theory in configuration space Theoretical and Mathematical Physics. ,vol. 56, pp. 673- 682 ,(1983) , 10.1007/BF01027541
I N Filikhin, S L Yakovlev, V A Roudnev, B Vlahovic, The 4He tetramer ground state in the Faddeev-Yakubovsky differential equations formalism Journal of Physics B. ,vol. 35, pp. 501- 508 ,(2002) , 10.1088/0953-4075/35/3/305