Spin theory and quantum mechanics

我的研究基本上是关于自旋的量子理论。量子自旋是纯粹的量子实体，没有经典限制。因此，通过研究自旋，可以洞察量子系统的最基本属性。我的研究主要集中在核磁共振上。被称为球张量-核磁共振(ST-核磁共振)的实验可以测量所有的张量极化。然而，ST-核磁共振的结果并没有区分自旋如何耦合，这一点将被澄清。对于许多自旋，Clebsch-Gordan，代数迅速变得笨拙。Yutsis图可以处理代数，并提供一种可视化不同自旋过程的方法。我研究的一个自然进展是更深入一些涉及波函数解释的基本问题：一个爱因斯坦和玻尔争论过的问题。目前的问题涉及非局域性，这是量子纠缠的结果。两个自旋可以形成纠缠态，而关联本质上是纯粹的量子。这些可能违反贝尔不等式，从而产生了非局域性的概念。非局域性是不被理解的。新技术依赖于纠缠，如量子隐形传态、计算和密码学。我的方法是用波函数的统计解释来研究纠缠。最后还有量子信息。这是一个由上述技术驱动的相对较新的领域。所有这些领域都可以通过研究自旋角动量来阐述。信息是什么？这不是一个容易的问题，大多数理论都关注信息在传输时的损失(通常使用香农或冯·诺伊曼熵)。除了研究信息如何被测量之外，我们还对不同形式的信息感兴趣。举两个例子：当某个东西爆炸时，分开的粒子与它们的初始条件相关，但它们之间没有物理联系：这是非物理信息。另一方面，信息可以从一个地方存储和传输到另一个地方：这是物理信息。量子信息被一些人认为是科学最基本的方面。

My research is fundamentally about the quantum theory of spins.   Spins are purely quantum entities with no classical limits.  Studying spins, therefore, gives insight into the most basic properties of quantum systems. My research has concentrated mainly on Nuclear Magnetic Resonance (NMR). Experiments called spherical tensors-NMR (ST-NMR) can measure all the tensor polarization.  However the ST-NMR results do not distinguish how spins can couple and this will be clarified.  Spin, Clebsch-Gordan, algebra rapidly becomes unwieldy for many spins.  Yutsis diagrams can handle the algebra and provide a means of visualizing different spin processes. A natural progression of my research is to go deeper into some fundamental problems involving the interpretation of the wave function: a question that Einstein and Bohr debated.  Currently questions concern non-locality which is a consequence of quantum entanglement.  Two spins can form an entangled state and the correlations are purely quantum in nature.  These can violate of Bell's inequalities which leads to the concept of non-locality.  Non-locality is not understood. New technologies rely on entanglement, such as quantum teleportation, computation and cryptography. My approach is to use the statistical interpretation of the wave function to study entanglement.  Finally there is quantum information.  This is a relatively new field motivated by the above mentioned technologies.  All of these fields can be expounded by studying spin angular momentum. What is information?  This is not an easy question and most theories are concerned with the loss of information when transmitted, (usually using Shannon or von Neumann entropy).  Besides studying how information can be measured, we are interested in the different forms of information.  Two examples: when something explodes, the particles that fly apart are correlated by their initial conditions but there are no physical connections between them: this is nonphysical information.  On the other hand, information can be stored and transmitted from one place to another: this is physical information.  Quantum information is considered by some to be the most fundamental aspect of science.