Abstract:
The theory of extensions is used to construct a nontrivial S matrix for a system of
three one-dimensional particles in the boundary condition model. The analytic
structure of the constructed S matrix on the energy shell is investigated.
Citation:
Yu. A. Kuperin, K. A. Makarov, B. S. Pavlov, “One-dimensional model of three-particle resonances”, TMF, 63:1 (1985), 78–87; Theoret. and Math. Phys., 63:1 (1985), 376–382
This publication is cited in the following 10 articles:
Yu. A. Kuperin, S. B. Levin, “Extension theory approach to scattering and annihilation in the ˉpd system”, Theoret. and Math. Phys., 118:1 (1999), 60–76
P. Kurasov, “Energy Dependent Boundary Conditions and the Few-Body Scattering Problem”, Rev. Math. Phys., 09:07 (1997), 853
A. I. Bobenko, A. M. Il'in, S. Yu. Dobrokhotov, A. R. Its, L. A. Kalyakin, V. B. Matveev, V. Yu. Novokshenov, A. B. Shabat, “Ramil' Faritovich Bikbaev (obituary)”, Russian Math. Surveys, 51:1 (1996), 129–133
A. K. Motovilov, “Algebraic version of extension theory for a quantum system with internal structure”, Theoret. and Math. Phys., 97:2 (1993), 1217–1228
Yu. A. Kuperin, K. A. Makarov, Yu. B. Melnikov, Lecture Notes in Physics, 324, Applications of Self-Adjoint Extensions in Quantum Physics, 1989, 146
P. Exner, P. Šeba, “Free quantum motion on a branching graph”, Reports on Mathematical Physics, 28:1 (1989), 7
Yu. A. Kuperin, K. A. Makarov, Yu. B. Melnikov, “Coulomb two-body problem with internal structure”, Theoret. and Math. Phys., 74:1 (1988), 73–79
Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. I. Two-body problem”, Theoret. and Math. Phys., 75:3 (1988), 630–639
Yu. A. Kuperin, K. A. Makarov, S. P. Merkur'ev, A. K. Motovilov, B. S. Pavlov, “Quantum few-body problem with internal structure. II. Three-body problem”, Theoret. and Math. Phys., 76:2 (1988), 834–847
Yu. A. Kuperin, K. A. Makarov, B. S. Pavlov, “Model of resonance scattering of composite particles”, Theoret. and Math. Phys., 69:1 (1986), 1028–1038