Random walks and Schrödinger's equation in dimensions
✍ Scribed by Ord, G N; Deakin, A S
- Book ID
- 120742122
- Publisher
- Institute of Physics
- Year
- 1997
- Tongue
- English
- Weight
- 224 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0305-4470
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📜 SIMILAR VOLUMES
It has been recently noted that the free particle Schro dinger equation in 1+1 dimensions occurs naturally in the description of correlations in random walks. In this non-quantum context, wave function solutions describe features of ensembles of random walks on lattices and are as a consequence obse
In this paper we study the existence of global solutions to the Cauchy problem Ž . for the matrix nonlinear Schrodinger equation MNLS in 2 space dimensions. A sharp condition for the global existence is obtained for this equation. This condition is in terms of an exact stationary solution of a semil