Direct numerical integration of coupled one-dimensional Schrödinger equations

✍ Scribed by M. Beiner; P. Gara

• Publisher: Elsevier Science
• Year: 1972
• Tongue: English
• Weight: 655 KB
• Volume: 4
• Category: Article
• ISSN: 0010-4655
• DOI: 10.1016/0010-4655(72)90022-7

✦ Synopsis

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 integration is in direct competition with powerful conventional techniques such as the variational principle and the standard matrix diagonalization. We are developing two methods for solving by direct integration the eigenvalue problem associated with sets of coupled one-dimensional Schrodinger equations. These methods are successfully used to calculate the bound states of nuclear three-and fourbody systems with two-body pure central forces.

ample the ground-state energy of the deuteron is given * Laboratoire Associé au C.N.R.S.