Numerical construction of the continuous spectrum Eigenfunctions of the three body Schroedinger operator: Three particles on the axis with short-range pair potentials
- St. Petersburg State University, Department of Mathematical and Computational Physics, Institute of Physics (Russian Federation)
Based on a new method of the numerical construction of the three-body Schroedinger operator continuous spectrum eigenfunctions an analysis of the solutions of the problem of three identical particles on the axis with quickly decreasing repulsive pair potentials is offered. The initial problem is reduced to solving an inhomogeneous boundary problem for an elliptical partial differential equation in a twodimensional domain as a circle with radiation boundary conditions, with a ray approximation of the solution with diffraction corrections, contributing to a smoothness of a solution sought, being used. The approach offered allows a natural generalization for a case of slowly decreasing potentials of the Coulomb type and higher configuration space dimensions.
- OSTI ID:
- 22156425
- Journal Information:
- Physics of Atomic Nuclei, Vol. 76, Issue 2; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
- Country of Publication:
- United States
- Language:
- English
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