A delta barrier in a well and the exact time evolution of its eigenstates
| Autor: | Kevin L. Jensen, Jeanne Riga, Andrew Shabaev, Michael Osofsky, Joseph C. Prestigiacomo |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Journal of Applied Physics. 133 |
| ISSN: | 1089-7550 0021-8979 |
| DOI: | 10.1063/5.0150385 |
| Popis: | The analytic nature of the transmission coefficient for a δ-function barrier makes it a useful tool to examine a variety of technologically important applications, such as photoemission from semiconductors with an alkali coating, the examination of tunneling times for wave packets incident on a barrier, and for parameterizing tunneling through the narrow barrier of a normal-superconducting point contact. The analytic model of a δ-function barrier inside a confining well is extended to the finite height and width rectangular barrier (a delta-function sequence). Methods to exactly evaluate the eigenstates are given and their dependencies are examined. The time evolution of a superposition of the lowest eigenstates is considered for barriers having comparable Gamow tunneling factors so as to quantify the impact of barrier height and shape on time evolution in a simple and exact system and, therefore, serve as a proxy for tunneling time. Last, density profiles and associated quantum potentials are examined for coupled wells to show changes induced by weaker and wider barriers. |
| Databáze: | OpenAIRE |
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