Abstract:
The fractional Schrodinger equation generalizes the standard Schrodinger equation by incorporating fractional derivatives, extending traditional quantum mechanics through fractional calculus. This approach provides a more flexible framework for modeling quantum systems with anomalous diffusion or complex geometries. Research in this field is dynamic, with ongoing exploration of both theoretical foundations and experimental implications, offering a richer mathematical structure to describe unconventional quantum behavior.
In this talk, we present the stochastic nonlinear fractional Schrodinger equation on the half-line with Neumann Brownian noise boundary conditions. Using the Riemann-Hilbert approach, we establish local existence in time for the solutions.
Place: Monzón 201
Hour: 10:45 a.m.