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math.SP2020
Threshold effects of the two-particle Schrödinger operators on lattices
Saidakhmat N. Lakaev, Volker Bach, W. de Siqueira Pedra
We consider a wide class of the two-particle Schrödinger operators with a fixed two-particle quasi-momentum in the -dimensional torus $\mathbb{…
math-ph2020
On the Ultraviolet Limit of the Pauli-Fierz Hamiltonian in the Lieb-Loss Model
Volker Bach, Alexander hach
Two decades ago, Lieb and Loss proposed to approximate the ground state energy of a free, nonrelativistic electron coupled to the quantized radiation field by the infimum $E_{α, Λ}…