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math-ph2016★ 17 cited
Derivation of the Maxwell-Schrödinger Equations from the Pauli-Fierz Hamiltonian
Nikolai Leopold, Peter Pickl
We consider the spinless Pauli-Fierz Hamiltonian which describes a quantum system of non-relativistic identical particles coupled to the quantized electromagnetic field. We study t…
math-ph2016★ 34 cited
Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions
Maximilian Jeblick, Nikolai Leopold, Peter Pickl
We present a microscopic derivation of the defocusing two-dimensional cubic nonlinear Schrödinger equation as a mean field equation starting from an interacting -particle system…