12 citations · 15 across the 5 of their papers we have counts for
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math-ph2004
Binding threshold for the Pauli-Fierz operator
Rafael D. Benguria, Semjon Vugalter
For the Pauli-Fierz operator with a short range potential we study the binding threshold as a function of the fine structure constant and show that it converges to the binding…
math-ph2004
H^+_2$ in a strong magnetic field described via a solvable model
R. D. Benguria, R. Brummelhuis, P. Duclos +1
We consider the hydrogen molecular ion in the presence of a strong homogeneous magnetic field. In this regime, the effective Hamiltonian is almost one dimensional with a po…
math-ph2004
Connection between the Lieb--Thirring conjecture for Schroedinger operators and an isoperimetric problem for ovals on the plane
Rafael D. Benguria, Michael Loss
To determine the sharp constants for the one dimensional Lieb--Thirring inequalities with exponent gamma in (1/2,3/2) is still an open problem. According to a conjecture by Lieb an…