A generalized Fannes' inequality.
Analytical and numerical study of Kramers' exit problem. I.
Analytical and numerical study of Kramers' exit problem. II.
Confining quantum particles with a purely magnetic field
We consider a Schrödinger operator with a magnetic field (and no electric field) on a domain in the Euclidean space with a compact boundary. We give sufficient conditions on the behaviour of the magnetic field near the boundary which guarantees essential self-adjointness of this operator. From the physical point of view, it means that the quantum particle is confined in the domain by the magnetic field. We construct examples in the case where the boundary is smooth as well as for polytopes; These...
Decay of spatial correlations in thermal states
Gibbsian fields associated to exponentially decreasing quadratic potentials
Logarithmic Sobolev inequalities for unbounded spin systems revisited
Projectively invariant Hilbert-Schmidt kernels and convolution type operators
We consider positive definite kernels which are invariant under a multiplier and an action of a semigroup with involution, and construct the associated projective isometric representation on a Hilbert C*-module. We introduce the notion of C*-valued Hilbert-Schmidt kernels associated with two sequences and construct the corresponding reproducing Hilbert C*-module. We also discuss projective invariance of Hilbert-Schmidt kernels. We prove that the range of a convolution type operator associated with...
Sets of simple observables in the operational approach to quantum theory
Spontaneously broken symmetries
О корреляционных функциях модели
Функциональное представление для корреляторов спиновых цепочек