Quantum cavitation in liquid helium

Using a functional-integral approach, we have determined the temperature below which cavitation in liquid helium is driven by thermally assisted quantum tunneling. For both helium isotopes, we have obtained the crossover temperature in the whole range of allowed negative p essures. Our results are compatible with recent experimental results on 4He.Comment: Typeset using Revtex, 10 pages and 2 figures, Phys. Rev B (1996

International genome-wide meta-analysis identifies new primary biliary cirrhosis risk loci and targetable pathogenic pathways.

Primary biliary cirrhosis (PBC) is a classical autoimmune liver disease for which effective immunomodulatory therapy is lacking. Here we perform meta-analyses of discovery data sets from genome-wide association studies of European subjects (n=2,764 cases and 10,475 controls) followed by validation genotyping in an independent cohort (n=3,716 cases and 4,261 controls). We discover and validate six previously unknown risk loci for PBC (Pcombined<5 × 10(-8)) and used pathway analysis to identify JAK-STAT/IL12/IL27 signalling and cytokine-cytokine pathways, for which relevant therapies exist

Observables of Complex PT-Symmetric “Shifted” Potentials

International audienceWe study complex PT-symmetric potentials, with real eigenvalues, corresponding to a complex coordinate shift (x+ic2) of a real even potential. In this case,the rules to achieve a coherent quantum mechanics are known. They allow the calculation of observables, which are found to be independent on c. This result is illustratedby few analytical or semi analytical examples. On the other hand, trying to test thisproperty numerically faces problems linked to the difficulty of finding the proper solutions of the Schrodinger equation. In particular, the large distance behaviour of the ¨wave functions generates instabilities. As an example, we have studied the (x +ic2)4potential

Finite Energy Ground States of the -|xx|n^n Potentials

International audienceInfinitely negative potentials have finite ground state energy if use ismade of complex wave function. We study a few analytical examples and give numerical solutions for some −|x|npotentials

Complex potentials and the inverse problem

The occurrence of complex potentials with real eigenvalues has implications concerning the inverse problem, i.e. the determination of a potential from its spectrum. First, any complex potential with real eigenvalues has at least one equivalent local potential. Secondly, a real spectrum does not necessarily corresponds to a local real potential. A basic ambiguity arises from the possibility the spectrum to be generated by a complex potential. The purpose of this work is to discuss several aspects of this problem

Complex Potentials with Real Eigenvalues and the Inverse Problem

International audienceThe existence of complex potentials with real eigenvalues rises twoquestions. The first one concerns the determination of the local real equivalent potentials. The second one underlines the fact that any even potential with respect to x inthe one-dimensional (D = 1) space has at least two complex partners with the samespectrum. The present paper illustrates this situation with a few examples

Multi-lambda matter in a derivativee coupling model

We have investigated, in a mean-field approximation, the properties of multi-lambda matter within a highly nonlinear σ-ω obtained from a derivative coupling between the scalar and fermion fields. The matter composition and saturation properties are calculated. We also discuss the spin-orbit properties of the effective Lagrangian

Multi-lambda matter in a derivativee coupling model

We have investigated, in a mean-field approximation, the properties of multi-lambda matter within a highly nonlinear σ-ω obtained from a derivative coupling between the scalar and fermion fields. The matter composition and saturation properties are calculated. We also discuss the spin-orbit properties of the effective Lagrangian

Quantum cavitation in liquid helium

Using a functional-integral approach, we have determined the temperature below which cavitation in liquid helium is driven by thermally assisted quantum tunneling. For both helium isotopes, we have obtained the crossover temperature in the whole range of allowed negative pressures. Our results are compatible with recent experimental results on 4He