Mathematical questions in the quantum theory of scattering for a system of three particles
This book is cited in the following Math-Net.Ru publications:
On the scattering problem of three one-dimensional short-range quantum particles in the presence of bound states in pair subsystems , 541 51–75 On the number of eigenvalues of a model operator on a one-dimensional lattice 22–37 Weak asymptotics of the wave function for an $N$ -particle system and asymptotic filtration , 206 :179–96 Justification of the asymptotics of three one-dimensional short-range particles scattering problem solution for the processes $3\to2$ , 493 40–47 The scattering problem of three one-dimensional short-range quantum particles involving bound states in pair subsystems. The coordinate asymptotics of the resolvent kernel and absolutely continuous spectrum eigenfunctions , 483 5–18 The absolutely continuous spectrum eigenfunctions asymptotics of the three one-dimensional quantum particles scattering problem , 471 15–37 Perturbation theory in the scattering problem for a three-particle
system , 191 :163–77 Bound states of the Schrödinger operator of a system of three bosons on a lattice , 188 :136–48 Asymptotic behavior of the wave function of three particles in a continuum , 186 :1152–163 On compact distribution of two-particle Schrödinger operator on a lattice 24–30 Quantum $N$ -body problem: Matrix structures and equations , 181 :1218–240 Spectral properties of two particle Hamiltonian on one-dimensional lattice , 6 :4102–110 Spectral properties of a two-particle Hamiltonian on a lattice , 177 :3482–496 Collision processes involving heavy many-electron ions interacting with neutral atoms , 183 :3225–255 A System of Three Three-Dimensional Charged Quantum Particles: Asymptotic Behavior of the Eigenfunctions
of the Continuous Spectrum at Infinity , 46 :283–88 The Faddeev equation and location of the essential spectrum of a three-particle model operator , 2(23) 170–180 Asymptotic behavior of eigenfunctions of the three-particle Schrödinger operator. II. Charged one-dimensional particles , 22 :360–79 On the essential spectrum of a four-particle Schrödinger operator on a lattice , 13 :1169–185 The three-body Coulomb scattering problem in a discrete Hilbert-space basis representation , 163 :2314–327 Positivity of the two-particle Hamiltonian on a lattice , 153 :3381–387 Finiteness of the number of eigenvalues of the two-particle Schrödinger operator on a lattice , 152 :3502–517 Status of the CCC method within the frame of the rigorous many-body Coulomb scattering theory , 8 :1281–287 Scattering transformation at fixed non-zero energy for the two-dimensional Schrödinger operator with potential decaying at infinity , 55 :6(336)3–70 Approximate Inverse Quantum Scattering at Fixed Energy in Dimension 2 , 225 301–318 Extension theory approach to scattering and annihilation in the $\bar pd$ system , 118 :174–94 Spurious solutions of Faddeev equations with central potentials , 107 :3501–512 The Iorio–O'Carroll theorem for $N$ -particle lattice Hamiltonian , 107 :175–85 Removal of the dependence on energy from interactions depending on it as a resolvent , 104 :2281–303 The point interactions in the problem of three quantum particles with internal structure , 102 :2258–282 Reformulation of the Lax–Phillips approach in terms of stationary scattering theory , 98 :2248–265 Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral , 96 :3351–372 Analytic continuation of $s$ matrix in multichannel problems , 95 :3427–438 Pair-interaction approximation in the equations of quantum field theory for a four-body system , 90 :195–112 A proof of asymptotic completeness, uniformly in the number of particles , 54 :1132–145 Coordinate asymptotics of the wave function for a system of four particles free in the initial state , 82 :2224–241 Dynamic stark effect in a three-particle system , 79 :1102–116 Asymptotic completeness in the problem of scattering by a Brownian particle , 137(179) :4(12)526–553 On the scattering theory of several particles in an external electric field , 132(174) :2182–201 Resonance scattering in a pair of spaces , 70 :3432–442 Factorization of three-particle $S$ matrix at high energies , 63 :3388–393 Scattering theory for a three-particle system with two-body interactions periodic in time , 62 :2242–252 On the eigenfunctions of the monodromy operator of the Schrödinger operator with a time-periodic potential , 124(166) :3(7)431–446 Quantum $N$ -body scattering theory in configuration space , 56 :160–73 Essential spectrum of an $N$ -particle additive cluster operator , 53 :2216–226 A method of solving infinite systems of equations for two-time thermal Green's functions , 49 :2219–233 Unitarity bound for three-particle scattering amplitude , 49 :13–25 Analytic solution to the problem of three-particle collisions in a model with eikonal Hamiltonian , 47 :173–88 Cluster expansions in lattice models of statistical physics and the quantum theory of fields , 35 :2(212)3–53 New variants of many-particle Faddeev equations , 43 :3386–400 Convergence of the Born series in the three-particle scattering problem at high energies , 43 :165–77 Integral equations in the quantum scattering problem for a system of three charged particles , 38 :2201–218 Some problems on expansion in generalized eigenfunctions of the
Schrödinger operator with strongly singular potentials , 33 :4(202)107–140 On the singular spectrum in a system of three particles , 106(148) :4(8)622–640 Theory of multichannel scattering in two spaces , 37 :148–57 Coordinate asymptotic behavior of $(3\to 3)$ wave functions for a system of three charged particles , 32 :2187–207 Finiteness of the discrete spectrum of many-particle Hamiltonians in symmetry spaces , 32 :170–87 Kinematic properties of three-particle reactions , 31 :148–61 On the point spectrum in the quantum-mechanical many-body problem , 40 :4908–948 Orthogonal projection in a system of three particles , 29 :194–103 Scattering of composite particles , 29 :159–64 Two-particle resonances and singularities of the $(2\to 3)$ scattering amplitude , 27 :167–80 On the number of discrete levels in the quantum problem of three particles , 27 :155–66 On the short wave asymptotic behaviour of solutions of stationary problems and the asymptotic behaviour as $t\to\infty$ of solutions of non-stationary problems , 30 :2(182)3–55 On the finiteness of the discrete spectrum of the three-particle Schrödinger operator , 25 :2185–195 Solution of the three-body problem at zero energy by the boundary condition method , 23 :178–93 On the theory of the discrete spectrum of the three-particle Schrödinger operator , 94(136) :4(8)567–593 Variational principle for three-particle systems , 17 :2221–229 One-time equation for three-particle system in quantum field theory , 16 :3328–338 Trace formula and singularities of the $S$ matrix for a system of three one-dimensional particles. Third group integral , 16 :2247–259 Local two-particle quasipotential in the relativistic three-body problem , 16 :142–51 The point spectrum in the quantum-mechanical problem of many particles , 6 :4103–104 Relativistic three-body problem in a configuration representation , 12 :129–39 Relativistic three-body problem in three-dimensional variables , 11 :123–36 Relativistic three-body problem in relative variables , 10 :3338–348 Reduction to diagonal form of the Schrödinger operator in Fok space , 10 :2249–258 The problem of scattering of electromagnetic waves by a plasmoid , 5 :444–55 Three-dimensional covariant formulation of the three-body problem in quantum field theory , 8 :3343–353 Coordinate asymptotic behavior of three-particle wave functions , 8 :2235–250 On the connection between the third virial coefficient and the $S$ matrix , 5 :3372–387 Description of triple collisions in the theory of strong interchannel coupling , 3 :3392–404 The principle of limit amplitude , 24 :3(147)91–156 The main mathematical problem in the theory of atomic spectra , 22 :2(134)3–20 Lyudvig Dmitrievich Faddeev (on his sixtieth birthday) , 50 :3(303)171–186
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