Stability and semiclassics in self-generated fields
László Erdős, Soren Fournais, Jan Philip Solovej (2013)
Journal of the European Mathematical Society
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We consider non-interacting particles subject to a fixed external potential and a self-generated magnetic field . The total energy includes the field energy and we minimize over all particle states and magnetic fields. In the case of spin-1/2 particles this minimization leads to the coupled Maxwell-Pauli system. The parameter tunes the coupling strength between the field and the particles and it effectively determines the strength of the field. We investigate the stability and...