يدعوكم قسم الرياضيات والإحصاء لحضور سيمنار علمي بعنوان:
A piecewise WKB Approximation for One-Turning Point Sturm Liouville Equations and Asymptotics for Eigenvalues
تقدمه د. ناديه الحارثي عبر منصة الزوم في يوم الاثنين الموافق 10-7- 1442هـ وذلك في تمام الساعة 2:00 مساءً
Abstract:
For the classical limit point eigenvalue problem for -y^''+q y=λy on [0,∞) when q(x) is continuous and →+∞ as x →+∞ , we obtain (quantum conditions)for the determination of the eigenvalues. These are applied to the case of the anharmonic oscillator potential to Obtain an asymptotic approximation for the nth eigenvalue, as n→+∞ . Apiecewise turning point analysis making use of a linear approximation to q in the neighborhood of the turning point and a WKB approxi- mation away from the turning point is employed to approximate the solutions, and this approximation yields first-order and second-order approximations to the eigenvalues.
