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Center for Nonlinear Studies |
Models of self-interacting fermionic fields are of importance for applications in a variety of applications and appear in particular in Quantum Chemistry, Solid State Physics, High Energy Physics, phononics, Astrophysics, and Quantum Gravity. Just like their NLS relatives, such models are known to have localized solutions; stability or instability of these solutions is vital for applications of such fermionic models. We review some established stability results and consider several phenomena related to the stability of solitary waves in the simplest of such models: the nonlinear Dirac equation with scalar and vector self-interaction.
Host: Avadh Saxena