Quantum resolution of the nonlinear super-Schrodinger equation
Caudrelier, V. ; Ragoucy, E.
HAL, hal-00133749 / Harvested from HAL
Text on HAL
We introduce a Z_2-graded version of the nonlinear Schrodinger 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(1|1). 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(2|1)) for the model.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00133749,
     author = {Caudrelier, V. and Ragoucy, E.},
     title = {Quantum resolution of the nonlinear super-Schrodinger equation},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00133749}
}

Caudrelier, V.; Ragoucy, E. Quantum resolution of the nonlinear super-Schrodinger equation. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00133749/