This work is a survey on Bogoliubov functionals and their applications to the study of stochastic evolutions on states of continuous infinite particle systems. 1 Bogoliubov generating functionals Let Γ := Γ Rd be the configuration space over R d , d ∈ N, Γ := { γ ⊂ R : |γ ∩Λ |< ∞ for every compact Λ ⊂ R }

We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to Bogoliubov dynamics that approximate true N-body norm arbitrary precision. The N-independent are given terms solutions Hartree equations satisfy generalized form Wick's theorem. determine n-point correlation functions excitations around condensate, as well reduced densities system, accurac...

While over the last century or more considerable effort has been put into the problem of finding approximate solutions for wave equations in general, and quantum mechanical problems in particular, it appears that as yet relatively little work seems to have been put into the complementary problem of establishing rigourous bounds on the exact solutions. We have in mind either bounds on parametric...

We examine a Josephson junction involving two arbitrary equal-spin-pairing unitary triplet superconductors and a ferromagnetic tunneling barrier. Using perturbation theory, we show how the interaction of the barrier moment with the spin of the tunneling triplet Cooper pairs can reverse the sign of the Josephson charge current. This also results in a Josephson spin current, which contains a phas...

A theoretical approach to the investigation of spin-dependent structure functions in deep inelastic scattering of polarized leptons off polarized nuclei, based on the effective meson-nucleon theory and operator product expansion method, is proposed and applied to deuteron and 3 He. The explicit forms of the moments of the deuteron and 3 He spin-dependent structure functions are * On leave from ...

We propose a new method to solve the Hartree-Fock-Bogoliubov equations for weakly bound nuclei whose purpose is to improve the treatment of the continuum when a finite range two-body interaction is used. We replace the traditional expansion on a discrete harmonic oscillator basis by a mixed eigenfunction expansion associated with a potential that explicitely includes a continuous spectrum. We o...