ar X iv : 0 70 7 . 04 47 v 1 [ m at h . R A ] 3 J ul 2 00 7 Subrings which are closed with respect to taking the inverse

ar X iv : 0 70 7 . 03 46 v 1 [ m at h - ph ] 3 J ul 2 00 7 THE ONE - DIMENSIONAL SCHRÖDINGER - NEWTON EQUATIONS

We prove an existence and uniqueness result for ground states of one-dimensional Schrödinger-Newton equations.

ar X iv : 0 70 7 . 11 47 v 1 [ m at h - ph ] 8 J ul 2 00 7 Uncertainty principle with quantum Fisher information ∗

In this paper we prove a nontrivial lower bound for the determinant of the covariance matrix of quantum mechanical observables, which was conjectured by Gibilisco and Isola. The lower bound is given in terms of the commutator of the state and the observables and their scalar product, which is generated by an arbitrary symmetric operator monotone function. Introduction The basic object in the st...

ar X iv : m at h - ph / 0 10 70 04 v 1 6 J ul 2 00 1 Infrared regular representation of the three dimensional massless Nelson model

We prove that in the Euclidean representation of the three dimensional massless Nelson model the t = 0 projection of the interacting measure is absolutely continuous with respect to a Gaussian measure with suitably adjusted mean. We also determine the Hamiltonian in the Fock space over this Gaussian measure space.

ar X iv : h ep - p h / 04 07 07 9 v 1 7 J ul 2 00 4 Multi - leg calculations with the GRACE / 1 - LOOP system

ar X iv : 0 70 6 . 04 00 v 1 [ m at h . A C ] 4 J un 2 00 7 BOUNDS FOR HILBERT COEFFICIENTS

We compute the Hilbert coefficients of a graded module with pure resolution and discuss lower and upper bounds for these coefficients for arbitrary graded modules.