Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian

The effective dynamics for a Bose-Einstein condensate in the regime of high dilution and subject to an external magnetic field is governed by a magnetic Gross-Pitaevskii equation. We elucidate the steps needed to adapt to the magnetic case the proof of the derivation of the Gross-Pitaevskii equation within the "projection counting" scheme

Derivation of the time dependent Gross-Pitaevskii equation without positivity condition on the interaction

Using a new method it is possible to derive mean field equations from the microscopic $N$ body Schr\"odinger evolution of interacting particles without using BBGKY hierarchies. In this paper we wish to analyze scalings which lead to the Gross-Pitaevskii equation which is usually derived assuming positivity of the interaction. The new method for dealing with mean field limits presented in [6] allows us to relax this condition. The price we have to pay for this relaxation is however that we have to restrict the scaling behavior to $\beta<1/3$ and that we have to assume fast convergence of the reduced one particle marginal density matrix of the initial wave function $\mu^{\Psi_0}$ to a pure state $|\phi_0><\phi_0|$

Draft Genome Sequences of Four NDM-1-Producing Klebsiella pneumoniae Strains from a Health Care Facility in Northern California.

We report the draft genome sequences of Klebsiella pneumoniae strains from four patients at a northern California health care facility. All strains contained the New Delhi metallo-β-lactamase (NDM1) carbapenemase with extended antibiotic resistance, including resistance to expanded-spectrum cephalosporins, imipenem, ertapenem, and meropenem. NDM gene alignments revealed that the resistance was plasmid encoded

Forcing boundary-layer transition on an inverted airfoil in ground effect and at varying incidence

Presented at 34th AIAA Applied Aerodynamics ConferenceThe influence of the laminar boundary-layer state on a wing operating in ground effect at Re = 6 × 10 has been investigated using experiments with a model that provides two-dimensional flow and computations with a panel-method code. The effect of a boundary-layer trip placed at varying distances from the leading edge was observed at various incidences in terms of on-surface characteristics, including pressure measurements, flow visualisation and hot-film anemometry, and off-surface characteristics with LDA surveys below and behind the wing. The act of forcing transition led to downforce being reduced and drag increased, moreover, it altered almost all aspects of the wing’s aerodynamic characteristics, with the effect becoming greater as the trip was placed closer to the leading edge. These aspects include the replacement of a laminar separation bubble with trailing-edge separation, a thicker boundary layer, and a thicker wake with greater velocity deficit. The importance of considering laminar phenomena for wings operating in ground effect has been show

Time Zones As Cues For Coordination: Latitude, Longitude, And Letterman

Market productivity is often greater, and leisure and other household activities more enjoyable, when people perform them simultaneously. Beyond pointing out the positive externalities of synchronicity, economists have not attempted to identify exogenous determinants of timing. We develop a theory illustrating conditions under which synchronicity will vary and identify three factors — the amount of daylight, the timing of television programming, and differences in time zones — that can alter timing. Using the American Time Use Survey for 2003 and 2004, we first show that an exogenous shock to time in one area due to non-adherence to daylight-saving time leads its residents to alter their work schedules to continue coordinating their activities with those of people elsewhere. With time use data from Australia, we also demonstrate the same response to a similar shock there. We then show that both television timing and the benefits of coordinating across time zones in the U.S. generally affect the timing of market work and sleep, the two most time-consuming activities people undertake. While these impacts do not differ greatly by people's demographic characteristics,workers in industries where we would expect more coordination outside of their local areas are more responsive to the effects of time zones.banking, market discipline

Policing Persons with Mental Illness in Georgia: Elucidating Perceptions of the Mental Health System

The criminal justice and mental health systems increasingly overlap as persons with mental illness (PMI) are disproportionately present throughout components of the criminal justice system, a concern to mental health and criminal justice professionals alike. In response, various initiatives (aimed across components of the criminal justice system) have been developed and implemented as a means of combating this overrepresentation. The following research will focus on one specialized police-based initiative, the Crisis Intervention Team (CIT), which aims to train police how to recognize mental illness, de-escalate persons in crisis, and to seek treatment-based alternatives to arrest, when appropriate (Schwarzfeld, Reuland, & Plotkin, 2008). Alternatives to arrest consist of various community-based mental health services such as public hospitals (some of which are designated as emergency receiving facilities, or ERFs) or private clinics. While the components of CIT training likely influence officers in unique ways, research has yet to empirically examine how CIT influences police perception, behavior or the incidence of referrals to mental health treatment. As an initial step, this research assessed the attitudes police have regarding the hospital and mental health system within their district. Specifically, this research provides a basic understanding of how police regard their local hospitals and mental health facilities that are posited as available alternatives to arrest, and help identify the role CIT plays in shaping these attitudes. This study found almost no significant difference in the attitudes CIT-trained officers had towards district ERF and the local mental health system as compared to non-CIT officers. Only in one of the six departments studied was there a significant difference between the attitudes of CIT-officers and non-CIT officers; with the non-CIT officers actually having more positive attitudes about their local mental health system than CIT-officers. The six departments studied had nearly similar attitudes of their mental health resources, which would barely be considered passing on a standard grading scale. While officers in this study do not have very positive attitudes towards the ERF they use to transport PMI or their districts’ mental health system, these attitudes may in fact be more positive than many police departments without any specialized approach or initiative. The significance and policy implications of these attitudes are discussed at length, as these findings speak to the need for increased attention by both the mental health and criminal justice systems. Recommendations for future research, including expanding this study to rural departments or agencies with no connection to CIT, are also outlined

From Instability to Civil Liberties: Nonviolent Resistance in Afghanistan

When people have a fundamental issue at stake, giving in is not an option. For these types of conflict, when people’s rights are being violated, when their countries are occupied, or when they are oppressed and humiliated, they need a powerful way to persist and fight back. Oftentimes when people are left with no choice they will use the terrible and destructive nature of violence. For decades nonviolent resistance (NVR) movements have been associated with Gandhi and Martin Luther King, but people have been using nonviolent action for years. In fact, NVR has been a part of political life for millennia. From the time of 11th-century conqueror Mahmud of Ghazni to Abdul Ghaffar Khan, a Pakistan born proponent of nonviolence, to social change created by modern Afghan women\u27s resistance groups, nonviolent revolution has been a part of the rich history of the Kingdom of Afghanistan (Pal, 2002 & PBS News Desk, 2021). Historically there have been numerous case studies of groups that rose to challenge corruption by authorities, demand social reforms, and demonstrate against violent and authoritarian regimes. The following thesis aims to focus on the historical antecedents of the Afghanistan government and use comparative research of violence and nonviolence both in and out of the country. Data from foundational research in the field of nonviolence will be used to support the claim. This is used to both understand the ongoing oppression and direct evidence gathered to understand actions that have pushed back against these rules. The data collection organizes evidence of acts of nonviolence and civil resistance in the country. The data gathered will be organized into qualitative and quantitative graphics. Qualitative data can be broken down by category and attributes of the nonviolent tactics used and quantitative data aims to translate these to maps and charts to show where and how effective these campaigns are over time

Improving Marital Satisfaction Using a Structured Facilitation Program in Three Southern Maine Congregations

Problem. Marital satisfaction for couples in general, and among members of the Seventh-day Adventist church in particular, needs to be improved. Research indicates that marital well being and longevity are critical issues facing both the church and the wider culture. Development of strategies and programs designed to increase happiness within the marital union are vital for strengthening family, church, and community. Method. A structured facilitation marriage enrichment program was developed and presented by the researcher and his wife in three Seventh-day Adventist churches in southern Maine over a ten week period. A pre-test and an identical post-test were administered to volunteer married participants at the beginning and end of the program. Results were tabulated to evaluate the effect of the program on the marital satisfaction of the couples in ten specific areas. Results. All areas surveyed demonstrated an increase in marital satisfaction over the 10- week program. Statistically significant (p \u3c .05) positive outcomes for marital satisfaction were found in 7 out of the 10 areas surveyed. Conclusions. This study demonstrates the value of conducting research-based marriage enrichment programs in order to improve the marital satisfaction of married couples in the Seventh-day Adventist church. Larger sample studies would be helpful in the future to determine if results are replicated for similar marriage enrichment programs. Longitudinal studies could prove beneficial in evaluating the positive duration of the change in marital satisfaction

The Correlation of Music Preference and Personality

The research behind the relationship between one\u27s music preference and personality