Free Schrödinger equation analyzed in terms of the wave equation
✍ Scribed by V. G. Bagrov; B. F. Samsonov; A. V. Shapovalov
- Book ID
- 112429865
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 325 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1573-9228
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📜 SIMILAR VOLUMES
## Abstract We first construct traveling wave solutions for the Schrödinger map in ℝ^2^ of the form __m__(__x__~1~, __x__~2~ − ϵ __t__), where __m__ has exactly two vortices at approximately $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}(\pm {{1}\over{2 \epsilon}}, 0) \in \R^2$ of degree ±1. We
The standing wave solution to the Schriidinger equation defined in terms of the standing wave Green's function for the full Hamiltonian is discussed. This solution is compared with the more usual standing wave solution. The former is shown to be onehalf the sum of the usual ingoing and outgoing wave