Quantum section method for the soft stadium
نویسندگان
چکیده
منابع مشابه
Chaos in the Stadium Quantum Billiards
An expansion method was used to write a MATHEMATICA program to compute the energy levels and eigenfunctions of a 2-D quantum billiard system with arbitrary shape and dirichlet boundary conditions. One integrable system, the full circle, and one non-integrable system, the stadium, were examined. Chaotic properties were sought in nearest-neighbor energy level spacing distributions (NND). It was o...
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The finite section method is a classical scheme to approximate the solution of an infinite system of linear equations. We present quantitative estimates for the rate of the convergence of the finite section method on weighted `-spaces. Our approach uses recent results from the theory of Banach algebras of matrices with off-diagonal decay. Furthermore, we demonstrate that Banach algebra theory p...
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ژورنال
عنوان ژورنال: Physica D: Nonlinear Phenomena
سال: 2000
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(00)00118-4