Time-dependent Delta-interactions for 1D Schrödinger Hamiltonians
✍ Scribed by Toufik Hmidi; Andrea Mantile; Francis Nier
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 433 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1385-0172
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📜 SIMILAR VOLUMES
Cheap and easy to implement fourth-order methods for the Schrodinger equation with time-dependent Hamiltonians are ïntroduced. The methods require evaluations of exponentials of simple unidimensional integrals, and can be considered an averaging technique, preserving many of the qualitative propert
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