scholarly journals Treating branch cuts in quantum trajectory models for photoelectron holography

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
A. S. Maxwell ◽  
S. V. Popruzhenko ◽  
C. Figueira de Morisson Faria
2002 ◽  
Vol 27 (3-4) ◽  
pp. 669-691 ◽  
Author(s):  
Irene M. Gamba ◽  
Ansgar Jüngel

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
D. Chicherin ◽  
V. Sotnikov

Abstract We complete the analytic calculation of the full set of two-loop Feynman integrals required for computation of massless five-particle scattering amplitudes. We employ the method of canonical differential equations to construct a minimal basis set of transcendental functions, pentagon functions, which is sufficient to express all planar and nonplanar massless five-point two-loop Feynman integrals in the whole physical phase space. We find analytic expressions for pentagon functions which are manifestly free of unphysical branch cuts. We present a public library for numerical evaluation of pentagon functions suitable for immediate phenomenological applications.


2017 ◽  
Vol 103 (6) ◽  
pp. 1052-1060 ◽  
Author(s):  
Paul Dillon ◽  
Derek Stewart ◽  
Susan M. Smith ◽  
Paul Gallagher ◽  
Gráinne Cousins

2012 ◽  
Vol 524-527 ◽  
pp. 1232-1235 ◽  
Author(s):  
Li Feng Li ◽  
Xiang An Yue ◽  
Li Juan Zhang

Finding the breakthrough position of horizontal wells is essential to water plugging and improving oil production in bottom water drive reservoirs. Physical modeling was carried out in this paper to research the law of bottom water’s movement. The experimental results indicated that: pressure drop in wells, well trajectory and area reservoir heterogeneity were all sensitive factors for breakthrough of bottom water, and the entry points of horizontal wells were determined by the combined function of them. In different well trajectory models, the concave down part of the well cooperate with pressure drop influenced the breakthrough position. Bottom water below the heel end reached the well earliest if the concave down part located at the heel end. When the concave part located at the middle of the well, the two factors played role respectively which resulted in breaking through of bottom water at two places with larger swept area. In different heterogeneous models, permeability difference and pressure drop were both favorable factors for bottom water’s non-uniformly rise. In the model that the heel end located at high permeability part, bottom water under the heel end reached the well earliest. If the heel end was set at the low permeability part, the breakthrough of bottom water occurred at the middle of the well.


1999 ◽  
Vol 60 (2) ◽  
pp. 1582-1589 ◽  
Author(s):  
F. Casagrande ◽  
A. Lulli ◽  
S. Ulzega

Author(s):  
Andrew C. Doherty ◽  
A. Szorkovszky ◽  
G. I. Harris ◽  
W. P. Bowen

We revisit the stochastic master equation approach to feedback cooling of a quantum mechanical oscillator undergoing position measurement. By introducing a rotating wave approximation for the measurement and bath coupling, we can provide a more intuitive analysis of the achievable cooling in various regimes of measurement sensitivity and temperature. We also discuss explicitly the effect of backaction noise on the characteristics of the optimal feedback. The resulting rotating wave master equation has found application in our recent work on squeezing the oscillator motion using parametric driving and may have wider interest.


2021 ◽  
pp. 002204262110022
Author(s):  
Benjamin T. Kuettel

Past research demonstrates a strong link between drug use and crime among justice-involved adolescents, yet little is known about the joint development between drug use variety and various types of criminal offending frequencies from adolescence to young adulthood. Using a sample of male adolescent offenders ( N = 842), this article examines the coevolution of drug use variety and three separate types of offending frequencies. First, four group-based trajectory models identify unique group developmental patterns for drug use variety, drug sales offending, property offending, and violent offending. Next, three dual-trajectory models examine the coevolution between drug use variety and each type of criminal offending. Findings reveal a general pattern of desistance for both drug use and offending, while also illustrating notable variability in group trajectory patterns for drug use variety and criminal behavior. This article concludes that adolescents with elevated drug use variety make up a large proportion of frequent offenders.


2021 ◽  
Author(s):  
Paraskevi Peristera ◽  
Anna Nyberg ◽  
Linda L. Magnusson Hanson ◽  
Hugo Westerlund ◽  
Loretta G. Platts

Circulation ◽  
2017 ◽  
Vol 135 (suppl_1) ◽  
Author(s):  
Erin Takemoto ◽  
Bruce Wolfe ◽  
Corey Nagel ◽  
Janne Boone-Heinonen

In the general population, bariatric surgery facilitates sustained weight loss and remission of comorbidities (e.g., CVD). The effectiveness among Medicaid beneficiaries, a population with a disproportionately high burden of obesity, remains unclear. We sought to determine if patterns of weight change following bariatric surgery differed in patients with Medicaid compared to commercial insurance. Data were obtained from the Longitudinal Assessment of Bariatric Surgery, an observational cohort study of adults undergoing bariatric surgery (2006-2009) at one of 6 geographically diverse centers. We used group-based trajectory models (PROC TRAJ, SAS) to identify discrete groups of individuals with similar weight trajectories over 5-years; we considered cubic trajectory models with between 1 and 6 groups. We selected the 6-group model based on Bayesian Information Criteria, visual fit and statistical significance of parameter estimates. We tested demographic predictors against trajectory group membership; Medicaid (n=174) vs. Commercial (n=991) was our primary predictor of interest. Medicaid participants had higher mean weight at baseline compared to the commercially insured (307.9 vs. 291.2 lbs), but lost a similar amount of weight over time (74.8 vs 85.0 lbs). All groups experienced the most weight loss in year 1 (Figure). Group 6 was the heaviest at baseline and began to regain weight after year 1; groups 1-5 continued to lose weight through year 2. Group’s 1 & 2 weight remained stable over 5 years while groups 3-6 began to slowly regain weight. Medicaid beneficiaries were more likely to be in group 4 (OR 3.2, 95% CI: 1.2, 8.6), group 5 (OR 5.7, 95% CI: 2.0, 16.1) and group 6 (OR 7.9, 95% CI: 2.5, 25.1) compared to group 1. Medicaid beneficiaries experience substantial long term weight loss. However, they had higher baseline weight and tended to be in groups with less long-term weight loss compared to the commercially insured. Focusing on tailored interventions to specific patient groups could help maintain weight loss.


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