An application of a quantum wave impedance approach for solving a
nonsymmetric single well problem
- URL: http://arxiv.org/abs/2010.05583v1
- Date: Mon, 12 Oct 2020 10:13:09 GMT
- Title: An application of a quantum wave impedance approach for solving a
nonsymmetric single well problem
- Authors: O. I. Hryhorchak
- Abstract summary: Three different approaches for a calculation of eigenenergies and eigenfunctions of a quantum mechanical nonsymmetric single well system are considered.
A comparision of these approaches gives the possibility to clarify advantages and drawbacks of each method which is useful especially for teaching and learning purposes.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A short introduction of a relation between a Green's function and a quantum
wave impedance function as well as its application to a determination of
eigenenergies and eigenfunctions of a quatum-mechanical system is provided.
Three different approaches, namely a classical approach based on a direct
solving of a Shr\"{o}dinger equation, a transfer matrix method and a quantum
wave impedance technique, for a calculation of eigenenergies and eigenfunctions
of a quantum mechanical nonsymmetric single well system are considered. A
comparision of these approaches gives the possibility to clarify advantages and
drawbacks of each method which is useful especially for teaching and learning
purposes.
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