EAPSI: A Semi-classical Nonlinear Dissipative Model of Quantum Spin in Three Dimensions

在当前的纳米技术时代，科学和工程界需要一种更准确的方法来描述和预测亚原子粒子的运动和相互作用。研究人员的初步数据表明，一个独特的不同量子力学自旋模型的结果暂时与众所周知的标准模型一致；然而，它有一个明显的优势，可能提供更好的量子自旋解释。该项目将继续使用这种高度复杂的量子自旋表示来模拟现实的3D物体。研究人员将可以使用新西兰奥克兰梅西大学的一台超级计算机。更重要的是，该研究人员将接受Joshua Bodyfelt博士的指导，他擅长高度复杂的非线性计算模型，这对项目的成功至关重要。在最近的一篇论文中，有人讨论了在确定性混沌中使用类似的方法来理解量子力学自旋态的可能性，特别是在驱动非线性耗散系统中。该项目利用该模型进一步揭示了量子力学坍缩的过程，其中初步数据在斯特恩-格拉赫装置中再现了量子自旋统计数据。将会有一个半经典的，关于磁场转矩的解释，它包含了角度的，双向转矩函数，è，磁矩与磁场的作用。最后，完整的半经典模型模拟利用了一个高度复杂的非线性动力学过程，表现出量子自旋统计。该奖项由美国国家科学基金会和新西兰皇家学会共同资助，隶属于东亚和太平洋暑期学院项目，支持一名美国研究生进行暑期研究。

In this current era of nanotechnology, the science and engineering community need a more accurate way to describe and predict the motion and interaction of subatomic particles. The researcher has preliminary data showing that the result from a uniquely different quantum mechanical spin model tentatively agrees with the well-known standard model; however, it has the distinct advantage of potentially providing a better quantum spin interpretation. The project will continue using this highly complicated representation of quantum spin to model a realistic 3D object. The researcher will have access to a supercomputer at the Massey University in Auckland, New Zealand. More importantly, the researcher will be under the supervision of Dr. Joshua Bodyfelt who excels in highly complicated nonlinear computational models, which is crucial for the success of this project.In a recent publication it was discussed that it may be possible to understand the quantum mechanical spin states in a similar method used in deterministic chaos, specifically in driven nonlinear dissipative systems. The project shows further insight regarding the process of the quantum mechanical collapse using this model, where preliminary data has reproduced the quantum spin statistics in a Stern-Gerlach device. There will be a semi-classical interpretation of the torque due to the magnetic field to incorporate a two-sided torque function of the angle, è, that the magnetic moment makes with the magnetic field. Ultimately the complete semi-classical model simulation utilizes a highly complex nonlinear dynamics process, exhibiting quantum spin statistics.This award, under the East Asia and Pacific Summer Institutes program, supports summer research by a U.S. graduate student and is jointly funded by NSF and the Royal Society of New Zealand.