42 citations · 126 across the 30 of their papers we have counts for
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math-ph2001★ 42 cited
Enhanced Binding in non-relativistic QED
Christian Hainzl, Vitali Vougalter, Semjon A. Vugalter
We consider a spinless particle coupled to a photon field and prove that even if the Schrödinger operator does not have eigenvalues the system can have a ground state. We…
math-ph2001★ 34 cited
Pauli operator and Aharonov Casher theorem for measure valued magnetic fields
Laszlo Erdos, Vitali Vougalter
We define the two dimensional Pauli operator and identify its core for magnetic fields that are regular Borel measures. The magnetic field is generated by a scalar potential hence…