6533b825fe1ef96bd1282aee
RESEARCH PRODUCT
New approach to numerical computation of the eigenfunctions of the continuous spectrum of three-particle Schrödinger operator: I. One-dimensional particles, short-range pair potentials
S B LevinVladimir BuslaevTuomo OjalaPekka Neittaanmäkisubject
Statistics and ProbabilityDiffractionGeneralizationScattering34L25 81U08ComputationOperator (physics)Continuous spectrumMathematical analysisPlane waveGeneral Physics and AstronomyStatistical and Nonlinear PhysicsGeometryEigenfunctionModeling and SimulationMathematical PhysicsMathematicsdescription
Basing on analogy between the three-body scattering problem and the diffraction problem of the plane wave (for the case of the short range pair potentials) by the system of six half transparent screens, we presented a new approach to the few-body scattering problem. The numerical results have been obtained for the case of the short range nonnegative pair potentials. The presented method allows a natural generalization to the case of the long range pair potentials.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-09-24 | Journal of Physics A: Mathematical and Theoretical |