Tuesday, July 16, 2013

1307.3740 (Masao Hirokawa et al.)

One-Dimensional Tunnel-Junction Formula for Schrodinger Particle    [PDF]

Masao Hirokawa, Takuya Kosaka
We handle all the self-adjoint extensions of the minimal Schroedinger operator for the non-relativistic electron living in the one-dimensional configuration space with a junction. We are interested in every boundary condition corresponding to the individual self-adjoint extension. Thus, we clarify all the types of those boundary conditions of the wave functions of the non-relativistic electron. We find a tunnel-junction formula for the non-relativistic electron passing through the junction. Using this tunnel-junction formula, we propose a mathematical possibility of a tunnel-junction device for qubit.
View original: http://arxiv.org/abs/1307.3740

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