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
Comment on the finite difference schemes for the time-dependent Schr�dinger equation
✍ Scribed by Dudek, J.
- Book ID
- 105199876
- Publisher
- Springer
- Year
- 1979
- Tongue
- English
- Weight
- 431 KB
- Volume
- 292
- Category
- Article
- ISSN
- 1434-601X
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📜 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