Discontinuity of Continuum Fermion Dynamics

Abstract:We study the Heisenberg dynamics of continuum fermions in $\IR^d$ interacting through a pair potential. For a large class of nonconstant pair potentials and under suitable assumptions on the dispersion relation and external potential, we prove that the dynamics fails to be pointwise-norm continuous even on the gauge-invariant CAR algebra. An automatic-continuity argument then shows that neither the CAR algebra nor its gauge-invariant subalgebra is invariant under the dynamics, with non-invariance occurring for almost all times.

arXiv:2609.34402 [math-ph]

(or arXiv:2609.34402v1 [math-ph] for this version)

https://doi.org/10.48550/arXiv.2609.34402 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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