One-dimensional Schrodinger equation with non-analytic potential V(x) = -g(2) exp (- vertical bar x vertical bar) and its exact Bessel-function solvability

Sasaki Ryu; Znojil Miloslav

首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >One-dimensional Schrodinger equation with non-analytic potential V(x) = -g(2) exp (- vertical bar x vertical bar) and its exact Bessel-function solvability

【24h】

One-dimensional Schrodinger equation with non-analytic potential V(x) = -g(2) exp (- vertical bar x vertical bar) and its exact Bessel-function solvability

机译：具有非解析电势V（x）= -g（2）exp（-竖线x竖线）的一维Schrodinger方程及其精确的贝塞尔函数可解性

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

Exact solvability (ES) of one-dimensional quantum potentials V(x) is a vague concept. We propose that beyond its most conventional range the ES status should also be attributed to many less common interaction models for which the wave functions remain piecewise proportional to special functions. The claim is supported by constructive analysis of a toy model V (x) = -g(2) exp(-vertical bar x vertical bar). The detailed description of the related bound-state and scattering solutions of the Schrodinger equation is provided in terms of Bessel functions which are properly matched in the origin.

机译：一维量子势V（x）的精确可溶性（ES）是一个模糊的概念。我们建议，除了其最常规的范围之外，ES状态还应归因于许多不常见的交互模型，对于这些模型，波动函数保持与特殊函数成分段比例。该主张得到了玩具模型V（x）= -g（2）exp（-竖线x竖线）的构造分析的支持。根据原点适当匹配的贝塞尔函数，对薛定inger方程的相关束缚态和散射解进行了详细描述。

著录项

来源
《Journal of physics, A. Mathematical and theoretical》 |2016年第44期|共12页
作者
Sasaki Ryu; Znojil Miloslav;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类物理学;
关键词
non-analytic potentials; bound states; reflection and transmission; exactly solvable; orthogonality theorems; associated Hamiltonians; supersymmetry;

机译：非解析势;束缚态;反射和透射;完全可解;正交定理;关联哈密顿量;超对称;

相似文献

外文文献
中文文献
专利

1. 具有耗散项的非线性Schrodinger方程的精确包络波解 [J] . 潘祖梁, 郑克杰, 杨清健高校应用数学学报：英文版 . 1994,第004期
2. One-dimensional Schrodinger equation with non-analytic potential V(x) = -g(2) exp (- vertical bar x vertical bar) and its exact Bessel-function solvability [J] . Sasaki Ryu, Znojil Miloslav Journal of physics, A. Mathematical and theoretical . 2016,第44期

机译：具有非解析电势V（x）= -g（2）exp（-竖线x竖线）的一维Schrodinger方程及其精确的贝塞尔函数可解性
3. Quasi-periodic solutions for 1D Schrodinger equation with the nonlinearity vertical bar u vertical bar(2p)u [J] . Liang ZG Journal of Differential Equations . 2008,第9期

机译：具有非线性垂直线u垂直线（2p）u的一维Schrodinger方程的拟周期解
4. Construction of new exact rational solutions to the veselov-novikov equation and new exact rational potentials for the two-dimensional schrodinger stationary equation by the (partial deriv)-bar-dressing method [J] . V. G. Dubrovkii, I. B. Formusatik Russian physics journal . 2003,第4期

机译：（偏导）-杆修整法构造veselov-novikov方程的新精确有理解和二维schrodinger平稳方程的新精确有理势
5. New rational solutions of Veselov-Novikov equation and new exact rational potentials of two-dimensional stationary Schrodinger equation via /spl part//sup ~/-dressing method [C] . Dubrovsky, V.G., Formusatik, . 2005

机译：Veselov-Novikov方程的新有理解和二维平稳Schrodinger方程的新精确有理势通过/ spl part // sup〜/ -dressing方法
6. Accuracy and efficiency of a phase function method solving the first-order nonlinear one-dimensional radial Schrodinger equation. [D] . Smith, Karl Nicholas. 2010

机译：求解一阶非线性一维径向薛定inger方程的相位函数方法的精度和效率。
7. Developmental and Cellular Basis of Vertical Bar Color Patterns in the East African Cichlid Fish Haplochromis latifasciatus [O] . Yipeng Liang, Jan Gerwin, Axel Meyer, 2020

机译：东非丽鱼科鱼类Haplochromis latifasciatus的竖条颜色图案的发育和细胞基础
8. Ionospheric signatures of split reconnection X-lines during conditions of IMF B-z < 0 and vertical bar B-y vertical bar similar to vertical bar B-z vertical bar: Evidence for the antiparallel merging hypothesis [O] . Chisham, G, Coleman, IJ, Freeman, MP, 2002

机译：在IMF B-z <0且垂直条B-y垂直条与垂直条B-z垂直条类似的情况下，分裂的重新连接X线的电离层特征：反平行合并假设的证据
9. B(bar) yields D(asterik)l nu(bar) form factor at zero recoil and thedetermination of (vertical bar)V(sub cb)(vertical bar) [R] . Simone, J. N. 2001

机译：B（条）在零反冲时产生D（星号）l nu（条形）形状因子并确定（垂直条）V（sub cb）（垂直条）

One-dimensional Schrodinger equation with non-analytic potential V(x) = -g(2) exp (- vertical bar x vertical bar) and its exact Bessel-function solvability

摘要

著录项

相似文献

相关主题

期刊订阅