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math-ph2005
Lieb-Thirring type inequalities and Gagliardo-Nirenberg inequalities for systems
Jean Dolbeault, Patricio Felmer, Michael Loss +1
We prove a Lieb-Thirring type inequality for potentials such that the associated Schrödinger operator has a pure discrete spectrum made of an unbounded sequence of eigenvalues. Thi…
math-ph2005
An inverse scattering problem for short-range systems in a time-periodic electric field
François Nicoleau
We consider the time-dependent Hamiltonian on , where the external electric field and the short-range electric poten…
math-ph2004★ 1 cited
The dressed nonrelativistic electron in a magnetic field
L. Amour, B. Grebert, J. -C. Guillot
We consider a nonrelativistic electron interacting with a classical magnetic field pointing along the -axis and with a quantized electromagnetic field. When the interaction…