Quantum resolution of the nonlinear super-Schrodinger equation
Caudrelier, V. & Ragoucy, E. (2004). Quantum resolution of the nonlinear super-Schrodinger equation. International Journal of Geometric Methods in Modern Physics (ijgmmp), 19(10), pp. 1559-1577. doi: 10.1142/S0217751X0401804X
Abstract
We introduce a Z2-graded version of the nonlinear Schr¨odinger equation that includes one fermion and one boson at the same time. This equation is shown to possess a supersymmetry which proves to be itself part of a super-Yangian symmetry based on gl(1j1). The solution exhibits a super version form of the classical Rosales solution. Then, we second quantize these results, and give a Lax pair formulation (based on gl(2j1)) for the model.
| Publication Type: | Article |
|---|---|
| Additional Information: | Electronic version of an article published as V. CAUDRELIER and E. RAGOUCY, Int. J. Mod. Phys. A 19, 1559 (2004). DOI: 10.1142/S0217751X0401804X © copyright World Scientific Publishing Company, http://www.worldscientific.com/worldscinet/ijmpa |
| Publisher Keywords: | Integrable systems, supersymmetry, ZF algebras |
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
| Departments: | School of Science & Technology > Mathematics |
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