Recent developments in quantum mechanics with magnetic fields

Abstract

We present a review on the recent developments concerning rigorous mathematical results on Schrödinger operators with magnetic fields. This paper is dedicated to the sixtieth birthday of Barry Simon.

Update of the previous versions; some more references added and typos and some minor errors corrected

References in corpus (4)

• Effective Hamiltonians for atoms in very strong magnetic fields
• Lifshitz Tails in Constant Magnetic Fields
• The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field: I. The lower bound
• Dynamical delocalization in random Landau Hamiltonians

Cited by in corpus (3)

• Unique continuation for many-body Schrödinger operators and the Hohenberg-Kohn theorem. II. The Pauli Hamiltonian
• Heat kernel estimates and spectral properties of a pseudorelativistic operator with magnetic field
• Bounds on the heat kernel of the Schroedinger operator in a random electromagnetic field