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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
On the Discrete Spectrum of a Pseudo-Relativistic Two-Body Pair Operator
Semjon Vugalter, Timo Weidl
We prove Cwikel-Lieb-Rosenbljum and Lieb-Thirring type bounds on the discrete spectrum of a two-body pair operator and calculate spectral asymptotics for the eigenvalue moments and…