Showing papers on "Quantum computer published in 1986"

The spectrum of a Schrödinger operator inL p ℝ v isp-independent

Abstract: LetHp=−1/2Δ+V denote a Schrodinger operator, acting inLpℝv, 1≦p≦∞. We show that σ(Hp)=σ(H2) for allp∈[1, ∞], for rather general potentialsV.

Debye-Hückel limit of quantum coulomb systems: I. Pressure and diagonal reduced density matrices

Abstract: In this paper, we consider charge symmetric quantum Coulomb systems with Boltzmann statistics. We prove that the theory of screening of Debye and Huckel is a combined classical and mean field limit of these quantum Coulomb systems.