Application of discrete-basis-set methods to the Dirac equation
β Scribed by Drake, G. W. F.; Goldman, S. P.
- Book ID
- 117996557
- Publisher
- The American Physical Society
- Year
- 1981
- Tongue
- English
- Weight
- 379 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1050-2947
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π SIMILAR VOLUMES
A variational procedure without the need of using L\* basis set expansion or trial wave functions is introduced for efficient and accurate treatment of relativistic quantum-mechanical eigenvalue problems. The method, ba>ed on the extension of the Fouriergrid Hamiltonian technique, is free from the p
The solutions of the matrix representation of the Dirac equation obtained by expansion in Gaussian basis sets are examined. The basis sets consist of non-relativistically energy-optimized Cartesian Gaussians, properly balanced by a basis set constraint, or a generalized modified [a β’ p] representati
In this paper, we study first-order symmetric, hyperbolic systems of differential operator with constant coefficients on L p -spaces. We show that such systems can be governed by some C -semigroups and as an application we consider the Dirac equation. Our result improves that of Nicaise [S. Nicaise,