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排序方式: 共有153条查询结果,搜索用时 15 毫秒
1.
Matteo Cepale 《Journal of Difference Equations and Applications》2017,23(10):1707-1736
A Liouville–Green (or WKB) asymptotic approximation theory is developed for a class of almost-diagonal (‘asymptotically diagonal’) linear second-order matrix difference equations. Rigorous and explicitly computable bounds for the error terms are obtained, the asymptotics being made with respect to both, the index and some parameter affecting the equation. The case of the associated inhomogeneous equations is also considered in detail. Some examples and a number of applications are presented for the purpose of illustration. 相似文献
2.
We develop the exact WKB analysis of an M2P1T (merging two simple poles and one simple turning point) Schrödinger equation. In Part II, using a WKB-theoretic transformation to the algebraic Mathieu equation constructed in Part I, we calculate the alien derivative of its Borel transformed WKB solutions at each fixed singular point relevant to the simple poles through the analysis of Borel transformed WKB solutions of the Legendre equations. In the course of the calculation of the alien derivative we make full use of microdifferential operators whose symbols are given by the infinite series that appear in the coefficients of the algebraic Mathieu equation and the Legendre equation. 相似文献
3.
Satoshi Masaki 《Journal of Differential Equations》2011,251(11):3028-3062
We consider the semiclassical Schrödinger-Poisson system with a special initial data of WKB type such that the solution of the limiting hydrodynamical equation becomes time-global in dimensions at least three. We give an example of such initial data in the focusing case via the analysis of the compressible Euler-Poisson equations. This example is a large data with radial symmetry, and is beyond the reach of the previous results because the phase part decays too slowly. Extending previous results in this direction, we justify the WKB approximation of the solution with this data for an arbitrarily large interval of R+. 相似文献
4.
本文考虑了缓变水深和缓变流对Stokes波包的影响,用WKB展开式推导出一个新的任意水深的四阶波包演化方程,推广了Turpin等人的有限水深三阶Schrdinger方程,在常深度无流条件下,新方程同U Brinch—Nielsen等人的无流任意常水深四阶方程的二维形式完全一致;此外,我们用差分法研究了变地形和流对孤立波包演化的影响。 相似文献
5.
6.
Scalar field quasinormal modes in the dyadosphere spacetime of charged black hole are studied by using the third-order WKB approximation. From numerical results obtained, we find that the scalar field mass u plays an important role in studying the quasinormal frequencies. With the scalar field mass increases, the real parts increase and the magnitudes of the imaginary parts decrease. Particulary, these change are almost linearly. 相似文献
7.
We investigate the electromagnetic perturbation around a black hole with quintessence-like matter and a deficit solid angle. The complex frequencies of the quasinormal modes of electromagnetic perturbation are evaluated by the third-order WKB approximation. The results show that the electromagnetic perturbation around the black hole damps more slowly owing to the presence of the quintessence-like. The phenomenon can be distinguished from the black hole only with a deficit angle. 相似文献
8.
QIAN Shang-Wu MIAO Chun-Hui GU Zhi-Yu 《理论物理通讯》2006,46(1):37-38
This article uses the supersymmetric WKB approximation to obtain the approximate energy levels and wave functions of the anharmonic potential V(r) = ar^2 + br^-4 + cr^-6 in order to tesify the correctness between [Phys. Left. A 170 (1992) 335] and the paper written by M. Landtman [Phys. Left. A 175 (1993) 147]. 相似文献
9.
量子隧穿中的等效势垒 总被引:2,自引:0,他引:2
本文给出等效垫垒的概念及性质,利用等效势垒的性质可以使量子遂穿中的有关问题更容易解决。 相似文献
10.
Diego Dominici 《The Ramanujan Journal》2008,15(3):303-338
We analyze the Krawtchouk polynomials K
n
(x,N,p,q) asymptotically. We use singular perturbation methods to analyze them for N→∞, with appropriate scalings of the two variables x and n. In particular, the WKB method and asymptotic matching are used. We obtain asymptotic approximations valid in the whole domain
[0,N]×[0,N], involving some special functions. We give numerical examples showing the accuracy of our formulas.
相似文献