Abstract.
We describe the basic structure of the two- and three-body T-matrices, scattering matrices, and resolvents continued to the unphysical energy sheets. The description is based on the explicit representations that have been found for analytically continued kernels of the T-operators.
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Motovilov, A. K.: Math. Nachr. 187, 147 (1997); arXiv: funct-an/9509003
B. Simon (1978) Int. J. Quant. Chem. 14 529 Occurrence Handle10.1002/qua.560140415 Occurrence Handle1978lim..conf.....S
A. K. Motovilov (1993) Theor. Math. Phys. 97 692 Occurrence Handle10.1007/BF01017515
Faddeev, L. D.: Mathematical Aspects of the Three-Body Problem in Quantum Mechanics. Jerusalem: Israel Program for Scientific Translations 1965
E. A. Kolganova A. K. Motovilov (2000) Comp. Phys. Comm. 126 88 Occurrence Handle10.1016/S0010-4655(99)00474-9 Occurrence Handle2000CoPhC.126...88K
E. A. Kolganova A. K. Motovilov (1999) Phys. Atom. Nucl. 62 1179 Occurrence Handle1999PAN....62.1179K
E. A. Kolganova A. K. Motovilov (1997) Phys. Atom. Nucl. 60 177 Occurrence Handle1997PAN....60..177K
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Motovilov, A. Explicit Representations for the T-Matrix on Unphysical Energy Sheets and Resonances in Two- and Three-Body Systems. Few-Body Systems 38, 115–120 (2006). https://doi.org/10.1007/s00601-005-0134-y
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DOI: https://doi.org/10.1007/s00601-005-0134-y