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Nonlinear q-Deformed Schrödinger Equation via Power-Law Derivative Operator

A qNLSE is derived using a nonlinear power-law q-derivative, yielding gauge invariance, continuity equations, and conserved energy/momentum. Numerical solutions reveal solitonic probability densities for q<0 in 1D, absent in prior deformed models.

#QuantumPhysics #NonlinearSchrodinger #Research

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