3 papers
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}…
math.FA2019
A Variational Approach to a -Minimization Problem Based on the Milman-Pettis Theorem
Alexander Hach
We develop a variational approach to the minimization problem of functionals of the type constrained by…
math-ph2017
Suppression of Decoherence of a Spin-Boson System by Time-Periodic Control
Volker Bach, Alexander Hach
We consider a finite-dimensional quantum system coupled to the bosonic radiation field and subject to a time-periodic control operator. Assuming the validity of a certain dynamic d…