Algebraic approaches to eigenvalue equations: The Wronskian method
โ Scribed by E. Yurtsever
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 353 KB
- Volume
- 141
- Category
- Article
- ISSN
- 0009-2614
No coin nor oath required. For personal study only.
โฆ Synopsis
A recently proposed method for the solution of eigenvalue equations is applied to two different model potentials. Considerable improvements are observed if the algebraic requirements of the Wronskian method are enforced over a region instead of at a single point.
๐ SIMILAR VOLUMES
A tabular method for reducing polynomial degrees by the stability equation criterion is given. It is the consequence of an interesting multipoint Taylor polynomial approximation property which is shown to holdfor the method. The resulting iterative Routhtype algorithm is easily applied to the system
We show that the Hopf algebra dual of the polynomials in one variable appears often in analysis, but under different disguises that include proper rational functions, exponential polynomials, shift invariant operators, Taylor functionals, and linearly recurrent sequences. The isomorphisms from the p
This paper shows that each eigenvalue of the stationary Schrodinger equation can be characterized as the minimum value of a performance functional associated with a stochastic control problem. The stochastic control problem is defined for regions bounded by nodes of the solution to the Schrodinger e