کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4625835 1631771 2016 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Convergence and applications of some solutions of the confluent Heun equation
ترجمه فارسی عنوان
همگرایی و کاربرد برخی از راه حل های معادله ی کانون هوون
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

We study the convergence of a group of solutions in series of confluent hypergeometric functions for the confluent Heun equation. These solutions are expansions in two-sided infinite series (summation from minus to plus infinity) which are interpreted as a modified version of expansions proposed by Leaver (1986). We show that the two-sided solutions yield two nonequivalent groups of one-sided series solutions (summation from zero to plus infinity). In the second place, we find that one-sided solutions of one of these groups can be used to solve an equation which describes a time-dependent two-level system of Quantum Optics. For this problem, in addition to finite-series solutions, we obtain infinite-series wavefunctions which are convergent and bounded for any value of the time t, and vanish when t goes to infinity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 284, 5 July 2016, Pages 234–259
نویسندگان
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