On a model for quantum friction. I. Fermi's golden rule and dynamics at zero temperature
On essential self-adjointness of the relativistic hamiltonian of a spinless particle in a negative scalar potential
On quantum informational thermodynamics with macrostates defined with respect to several operators [Book]
On the approximation numbers of large Toeplitz matrices.
On the asymptotic properties of quantum dynamics in the presence of a fractal spectrum
On the essential spectrum of many-particle pseudorelativistic Hamiltonians with permutational symmetry account.
On the essential spectrum of the Jansen-Hess operator for two-electron ions.
On the Fröhlich-Spencer-Estimate in the theory of anderson localization.
On the number of bound states of a bosonic N-particle Coulomb system.
On the second quantisation of Hilbert-Schmidt processes
On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov–Bohm magnetic field.
Operators of the q-oscillator
We scrutinize the possibility of extending the result of [19] to the case of q-deformed oscillator for q real; for this we exploit the whole range of the deformation parameter as much as possible. We split the case into two depending on whether a solution of the commutation relation is bounded or not. Our leitmotif is subnormality. The deformation parameter q is reshaped and this is what makes our approach effective. The newly arrived parameter, the operator C, has two remarkable properties: it...