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math-ph2004★ 1 cited
The dressed nonrelativistic electron in a magnetic field
L. Amour, B. Grebert, J. -C. Guillot
We consider a nonrelativistic electron interacting with a classical magnetic field pointing along the -axis and with a quantized electromagnetic field. When the interaction…
math-ph2004★ 1 cited
Birfhoff Normal Form for PDEs with Tame Modulus
D. Bambusi, B. Grebert
We prove an abstract Birkhoff normal form theorem for Hamiltonian Partial Differential Equations. The theorem applies to semilinear equations with nonlinearity satisfying a propert…