Exact solutions to three-dimensional time-dependent Schrödinger equation
✍ Scribed by Fakir Chand; S. C. Mishra
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 143 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0304-4289
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📜 SIMILAR VOLUMES
## Abstract Using a general symmetry approach we establish transformations between different non‐linear space–time dependent evolution equations of Schrödinger type and their respective solutions. As a special case we study the transformation of the standard non‐linear Schrödinger equation (NLS)‐eq
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