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math.AP2020★ 2 cited
Non-linear Schrödinger Equation in a uniform magnetic field
T. F. Kieffer, M. Loss
The aim of this paper is to study, in dimensions 2 and 3, the pure-power non-linear Schrödinger equation with an external uniform magnetic field included. In particular, we derive…
math-ph2020
The Maxwell-Pauli Equations
Thomas Forrest Kieffer
We study the quantum mechanical many-body problem of non-relativistic electrons with spin interacting with their self-generated classical electromagnetic field and $K \g…