The Bloch wave operator: generalizations and applications: Part I. The time-independent case
โ Scribed by Killingbeck, John P; Jolicard, Georges
- Book ID
- 121294681
- Publisher
- Institute of Physics
- Year
- 2003
- Tongue
- English
- Weight
- 716 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0305-4470
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper presents a unified treatment of stationary and time-dependent Bloch wave operator theory and proposes common iterative solutions. These solutions are tested, in the timedependent case, on simple model systems.
The eigenvalue problem of the time-independent Schrodinger equation is solved as usual by expanding the eigenfunctions in terms of a basis set. However, the wave-function ลฝ . expansion coefficients WECs , which are certain matrix elements of the wave operator, are determined by an iterative method.
A general, energy-separable Faber polynomial representation of the full time-independent Green operator is presented. Non-Hermitian Hamiltonians are included, allowing treatment of negative imaginary absorbing potentials. A connection between the Faber polynomial expansion and our earlier Chebychev