Physical problems which can usually be described with the help of sets of coupled second-order differential equations are outlined. In the case of scattering problems, the direct numerical integration of these equations is the unique method of obtaining a solution. For bound-state calculations this
The reduction of the multi-dimensional schrödinger equation to a one-dimensional integral equation
✍ Scribed by C.M Rosenthal
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Weight
- 648 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
A method is proposed for reducing the multi-dimensional Schriidinger equation to a one_dimensionaI integral equation. The reduction is exact; and the resulting integral equation although complicated, may be treated by any of a number of numerical methods. Two 24iniensional problems, the harmonic oscillator and the S-limit for heIium and one 3dimensional problem, the helium ground state are treated in this way.
📜 SIMILAR VOLUMES
The fmlte difference boundary value method wth a complex rotated coordmate IS used to obtain the resonances of the onednnensonal Schrodinger equation An example IS wnsldered which ylclds resonances wdh widths exceed= the real part of the enera