New Method for Constructing Wavefunctions for Bound States and Scattering
- 1 July 1969
- journal article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 51 (1) , 14-25
- https://doi.org/10.1063/1.1671699
Abstract
A new method is developed for integrating coupled differential equations arising in bound state and scattering problems in quantum mechanics. The wavefunctions are easily constructed in piecewise analytic form, to any prescribed accuracy.Keywords
This publication has 13 references indexed in Scilit:
- Error Bounds in Spectroscopy and Nonequilibrium Statistical MechanicsJournal of Mathematical Physics, 1968
- Error Bounds for the Long-Range Forces between AtomsThe Journal of Chemical Physics, 1968
- Error Bounds in Equilibrium Statistical MechanicsJournal of Mathematical Physics, 1968
- Quantum-Mechanical Treatment of Inelastic Collisions. I. General Theory and Application to Nonreactive CollisionsThe Journal of Chemical Physics, 1968
- Vibrational energy transfer in collisions between diatomic moleculesChemical Physics Letters, 1968
- A validation of the method of amplitude density functions in computing the S-matrix for a scattering problemChemical Physics Letters, 1967
- Structural features of the S-matrix for the rotational excitation of homonuclear diatomic molecules by atom impact: close-coupled versus approximate computationsChemical Physics Letters, 1967
- The Solution of the Nonrelativistic Quantum Scattering Problem without ExchangeJournal of Mathematical Physics, 1966
- Electron Excitation Cross Section of theTransition of SodiumPhysical Review B, 1965
- Single-centre Expansions for the Hydrogen Molecular IonMathematical Proceedings of the Cambridge Philosophical Society, 1961