The one-dimensional Schrodinger equation has been examined by means öf the confined system defined on a finite interval. The eigenvalues of the resulting bounded problem subject to the Dirichlet boundary conditions are calculated accurately to 20 significant figures using higher order shape function
Schrödinger equations of higher order
✍ Scribed by Alessia Ascanelli; Massimo Cicognani
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 138 KB
- Volume
- 280
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
We are interested in finding the sharp regularity with respect to the time variable of the coefficients of a Schrödinger type operator in order to have a well‐posed Cauchy Problem in H^∞^. We consider both the cases of the first derivative that breaks down at a point t~0~ and of Log‐Lipschitz coefficients. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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