Abstract
The wave nature of the electron spin proposed earlier [1][2] is studied by solving the Dirac equation with a complete form of $4-$spinor. The result shows a stable circulating total current density with a donut shaped topography for the eigenstate electron inside a quantum well. The spin value inside the well is modified by the confining geometry. Our analysis also shows that a free electron Gaussian wave packet is unstable and experiences quick decoherence. The impacts of the wave spin on quantum computing and quantum information technologies are discussed in principle.
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