Schrödinger operators with magnetic fields

  title={Schr{\"o}dinger operators with magnetic fields},
  author={Joseph E. Avron and Ira W. Herbst and Barry Simon},
  journal={Communications in Mathematical Physics},
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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  • T. Hattori
  • Mathematics, Physics
    Nagoya Mathematical Journal
  • 1997
This paper is continuation from [10], in which we studied the discrete spectrum of atomic Hamiltonians with non-constant magnetic fields and, more precisely, we showed that any atomic system has only

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