自旋量子比特隧道结的数学性质
A Mathematical Aspect of A Tunnel-Junction for Spintronic Qubit
摘要：
我们考虑自旋电子量子比特中的狄拉克粒子与结的一维位形空间。我们给出了具体的公式，明确地表明了极小Dirac算子的每一个自伴扩张与Dirac粒子的波函数的边界条件之间的一一对应。然后，我们表明，边界条件分为两种类型：一种是由两个参数，另一种是由三个参数。然后，我们表明，Benvegnu和Dabrowski的四参数家庭实际上可以由三个参数，有关的反射，穿透和相位因子。
英文摘要：
We consider the Dirac particle living in the 1-dimensional configuration space with a junction for a spintronic qubit. We give concrete formulae explicitly showing the one-to-one correspondence between every self-adjoint extension of the minimal Dirac operator and the boundary condition of the wave functions of the Dirac particle. We then show that the boundary conditions are classified into two types: one of them is characterized by two parameters and the other is by three parameters. Then, we show that Benvegnu and Dabrowski's four-parameter family can actually be characterized by three parameters, concerned with the reflection, penetration, and phase factor.
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