The effect of inter-dot many body interactions on the transport properties of coupled dots connected to leads is studied. Results are obtained by exactly diagonalizing a cluster composed by the double-dot and its vicinity, which is then connected to the leads. We analyse two configurations: coupled dots aligned and perpendicular to the leads. We show that in the weak coupling limit they present...

A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. The theory is based on the representation of the model Gibbs states in terms of path measures (Euclidean Gibbs measures). It covers the case of crystals without translation invariance, as well as the case of asymmetric...

Quantum groupoids are a joint generalization of groupoids and quantum groups. We propose a definition of a compact quantum groupoid that is based on the theory of C *-algebras and Hilbert bimodules. The essential point is that whenever one has a tensor product over C in the theory of quantum groups, one now uses a certain tensor product over the base algebra of the quantum groupoid.

A time-dependent wave packet method has been developed to study atom–triatom ABC1D→AB1CD reactions in full six dimensions ~6D!. The approach employs a body-fixed coupled angular momentum basis for three angular coordinates, and three 1D bases for three radial coordinates. It permits the calculation of diatom AB vibrational state resolved total reaction probability for an initial rovibrational s...

Some situations are discussed where subquantum oscillations in momentum arise in connection with Fisher information and the quantum potential.

A time-dependent wave packet method has been employed to calculate the state-to-state reaction probability for the H1H2O~0,0,0!→H2~v1 , j1!1OH~v2 , j2! reaction for J50 and initial nonrotating H2O on the modified Schatz–Elgersman potential energy surface in full six dimensions ~6D!. Starting from a wave packet for an atom–triatom asymptotic state in atom–triatom Jacobi coordinates, we transfer ...