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- W2949330809 abstract "We consider a relativistic no-pair model of a hydrogenic atom in a classical, exterior magnetic field. First, we prove that the corresponding Hamiltonian is semi-bounded below, for all coupling constants less than or equal to the critical one known for the Brown-Ravenhall model, i.e., for vanishing magnetic fields. We give conditions ensuring that its essential spectrum equals [1,infty) and that there exist infinitely many eigenvalues below 1. (The rest energy of the electron is 1 in our units.) Assuming that the magnetic vector potential is smooth and that all its partial derivatives increase subexponentially, we finally show that an eigenfunction corresponding to an eigenvalue lambda<1 is smooth away from the nucleus and that its partial derivatives of any order decay pointwise exponentially with any rate a<(1-lambda^2)^{1/2}, for lambdain[0,1), and a<1, for lambda<0." @default.
- W2949330809 created "2019-06-27" @default.
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- W2949330809 date "2008-10-27" @default.
- W2949330809 modified "2023-09-27" @default.
- W2949330809 title "On the eigenfunctions of no-pair operators in classical magnetic fields" @default.
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