8 papers · 1 filter
Locational Qubit Realization with One-dimensional Contact Interactions
Taksu Cheon
We show that the U(2) group structure of thin barriers can be adopted for quantum information processing when used in combination with environmental potential whose bouncing modes…
Continuous Spectra of Generalized Kronig-Penney Model
Taksu Cheon, T. Shigehara
The standard Kronig-Penney model with periodic potentials is extended to the cases with generalized contact interactions. The eigen equation which determines the dispersion rel…
Generalized One-Dimensional Point Interaction in Relativistic and Non-relativistic Quantum Mechanics
T. Shigehara, H. Mizoguchi, T. Mishima +1
We first give the solution for the local approximation of a four parameter family of generalized one-dimensional point interactions within the framework of non-relativistic model w…
Realization of a Four Parameter Family of Generalized One-Dimensional Contact Interactions by Three Nearby Delta Potentials with Renormalized Strengths
T. Shigehara, H. Mizoguchi, T. Mishima +1
We propose a new method to construct a four parameter family of quantum-mechanical point interactions in one dimension, which is known as all possible self-adjoint extensions of th…
Some Aspects of Generalized Contact Interaction in One-Dimensional Quantum Mechanics
Taksu Cheon, T. Shigehara
We construct a one-dimensional contact interaction ( potential) which induces the discontinuity of the wave function while keeping its derivative continuous. By combining the $ε…
Influence of Small Impurities on Low-Energy Electron Dynamics in Two-Dimensional Microscopic Bounded Region
T. Shigehara, M. Yokoyama, H. Mizoguchi +2
In order to give some insight into a role of small impurities on the electron motion in microscopic devices, we examine from a general viewpoint, the effect of small obstacles on a…