Schrödinger operators with magnetic fields

@article{Avron1981SchrdingerOW,
  title={Schr{\"o}dinger operators with magnetic fields},
  author={Joseph E. Avron and Ira W. Herbst and Barry Simon},
  journal={Communications in Mathematical Physics},
  year={1981},
  volume={79},
  pages={529-572}
}
We prove a large number of results about atoms in constant magnetic field including (i) Asymptotic formula for the ground state energy of Hydrogen in large field, (ii) Proof that the ground state of Hydrogen in an arbitrary constant field hasLz = 0 and of the monotonicity of the binding energy as a function ofB, (iii) Borel summability of Zeeman series in arbitrary atoms, (iv) Dilation analyticity for arbitrary atoms with infinite nuclear mass, and (v) Proof that every once negatively charged… 

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