Nikolai Leopold

collaborators

2 papers

math-ph2026

Classical limit of the Pauli-Fierz dynamics

Lucas Jougla, Nikolai Leopold

We study the SchrÃ¶dinger evolution generated by the Pauli-Fierz Hamiltonian, a model for nonrelativistic quantum electrodynamics, in the classical limit $ℏ \to 0$ . In…

math.AP2025

The Semi-Classical Limit from the Dirac Equation with Time-Dependent External Electromagnetic Field to Relativistic Vlasov Equations

FranÃ§ois Golse, Nikolai Leopold, Norbert J. Mauser +2

We prove the mathematically rigorous (semi-)classical limit $ℏ \to 0$ of the Dirac equation with time-dependent external electromagnetic field to relativistic Vlasov equations…