Adomian Decomposition Approach to Solve the Quantum Mesoscopic Nonlinear LC-circuits with Charge Discreetness | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 6، دوره 34، شماره 4، زمستان 2023، صفحه 371-377 اصل مقاله (447.67 K) | ||
| نوع مقاله: Original Research Articles | ||
| شناسه دیجیتال (DOI): 10.22059/jsciences.2024.358905.1007800 | ||
| نویسندگان | ||
| Hasan Pahlavani* ؛ amenh zamani | ||
| Department of Physics, University of Qom, Qom, Islamic Republic of Iran | ||
| چکیده | ||
| The quantum Hamitonian of a nonlinear mesoscopic LC-circuit include a nonlinear inductor and a linear capacitor with charge discreetness is introduced. An analytical function for quantum persistent current due to the magnetic flux of such nonlinear electrical circuit is obtained by Adomian Decomposition Method (ADM). The nonlinear quantum ring is introduced and the quantum persistent current and the eigenvalues energy are found analytically. It is shown by numerical solution that the persistent current and eigenvalues energy are periodic functions of the magnetic flux with the fundamental parameter ( ), which is a pure quantum characteristic. In this paper, we proved for the first time that in a mesoscopic nonlinear quantum ring, similar a linear quantum ring, there is a quantized and periodic persistent current in terms of magnetic flux, which will attract attention in experience and technology. | ||
| کلیدواژهها | ||
| Charge discreteness؛ Duffing equation؛ Analytic solution؛ Mesoscopic circuits؛ Nonlinear inductor | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 565 تعداد دریافت فایل اصل مقاله: 447 |
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