Effective technique of numerical investigation of systems with complicated geometry of a potential

• URL: http://arxiv.org/abs/2010.09372v1
• Date: Mon, 19 Oct 2020 10:44:07 GMT
• Title: Effective technique of numerical investigation of systems with complicated geometry of a potential
• Authors: O. I. Hryhorchak
• Abstract summary: We have developed the technique of a quantum wave impedance determination for the sequence of not only constant potentials but also for potentials of forms for which the solution of a Shr"odinger equation exists at least in terms of special functions. Results can be applied to the numerical investigation of a quantum mechanical systems with complicated geometry (spatial structure) of a potential.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We have developed the technique of a quantum wave impedance determination for the sequence of not only constant potentials but also for potentials of forms for which the solution of a Shr\"{o}dinger equation exists at least in terms of special functions. The method was applied for a deformed double-barrier system and as a result the dependence of a transmission probability $T$ on an energy $E$ of a particle at different parameters of this system was numerically calculated. Obtained results can be applied to the numerical investigation of a quantum mechanical systems with complicated geometry (spatial structure) of a potential.

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