The phase function theory is used to improve the shooting method with the Noumerov finite difference scheme in application to finding bound states of the radial Schrodinger equation. The phase functions are constructed from Noumerov trial solutions which prevents the separate calculations of eigenva
An improvement to the comparison equation method for solving the Schrödinger equation
✍ Scribed by J. Giraldo; R.G. Barrera; G.A. Estévez
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 522 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0009-2614
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✦ Synopsis
A systematic improved comparison equation method to solve the Schrijdinger equation is described. The method is useful in quantum mechanical calculations inv&~ -0 or more titian or turning points and is applicable to real potentials with continuol;s derivatives. As a computatior 4 example of the method, a study of the boundstate problem usinng the Morse potential IS given.
📜 SIMILAR VOLUMES
An improved scheme to accelerate the convergence in the calculations of N-electron atoms, which is based on the exact method we proposed before in hyperspherical coordinates, is presented. The factors influencing the rate of convergence in both parts of expansions in wave function with the hypersphe