Publications by authors named "Brandon Benton"
Article Synopsis
- Gender diverse youth (GDY) face greater mental health challenges compared to their cisgender peers, but feeling supported by family, school, and community can help improve their well-being.
- A study involving youth aged 12-19 revealed that cisgender youth reported the highest levels of perceived support, while GDY identified as either binary or nonbinary experienced the lowest support.
- The findings highlight the need for more research and targeted interventions to enhance support for GDY, particularly in rural areas where their perceptions of support may differ.
Approximate mean-field equations of motion for quasi-two-dimensional Bose-Einstein-condensate systems.
Phys Rev E Stat Nonlin Soft Matter Phys
November 2012
We present a method for approximating the solution of the three-dimensional, time-dependent Gross-Pitaevskii equation (GPE) for Bose-Einstein-condensate systems where the confinement in one dimension is much tighter than in the other two. This method employs a hybrid Lagrangian variational technique whose trial wave function is the product of a completely unspecified function of the coordinates in the plane of weak confinement and a Gaussian in the strongly confined direction having a time-dependent width and quadratic phase. The hybrid Lagrangian variational method produces equations of motion that consist of (1) a two-dimensional (2D) effective GPE whose nonlinear coefficient contains the width of the Gaussian and (2) an equation of motion for the width that depends on the integral of the fourth power of the solution of the 2D effective GPE.
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