A nonlinear ordinary differential equation associated with the quantum sojourn time

作者:Benguria Rafael D*; Duclos Pierre; Fernandez Claudio; Sing Long Carlos
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(47): 474007.
DOI:10.1088/1751-8113/43/47/474007

摘要

We study a nonlinear ordinary differential equation on the half-line, with the Dirichlet boundary condition at the origin. This equation arises when studying the local maxima of the sojourn time for a free quantum particle whose states belong to an adequate subspace of the unit sphere of the corresponding Hilbert space. We establish several results concerning the existence and asymptotic behavior of the solutions.

  • 出版日期2010-11-26