Novel explicit finite-difference schemes for time-dependent Schrödinger equations
✍ Scribed by Ronald E. Mickens
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 425 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0010-4655
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✦ Synopsis
We present several new finite-difference schemes that can be used to numerically integrate the time-dependent Schrodinger equation. These schemes are explicit and use an Euler-type expression for the discrete time derivative. However, the second-order space derivative is modeled by a novel form not before seen in the research literature.
📜 SIMILAR VOLUMES
explicit and local. Its novel features include the exact evaluation of a major contribution to an approximation to the The matrix elements of the exponential of a finite difference realization of the one-dimensional Laplacian are found exactly. This evolution operator (Eq. ( )) and a first-order ap
The applicability of the Chebyshev time propagation algorithm for the solution of the time-dependent Schrodinger equation is investigated within the context of differencing schemes for the representation of the spatial operators. Representative numerical tests for the harmonic oscillator and Morse p
We describe the application of block Gauss-Seidel and block Jacobi iterative methods to the design of implicit propagators for finite-difference models of the time-dependent Schrrdinger equation. The block-wise iterative methods discussed here are mixed direct-iterative methods for solving simultane