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四阶精度差分法解定态薛定谔方程 被引量:1
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作者 刘展源 关成波 +2 位作者 吕英波 张鹏 丛伟艳 《大学物理》 2021年第9期58-62,共5页
利用有限差分法数值求解定态薛定谔方程时,文献中常用的是3点中心差分公式,其截断误差为步长的二次方量级,无法满足高精度要求.本文利用多项式插值法,取最近邻和次近邻节点做5点插值,给出导数的四阶精度差分公式,并用于求解几个常见势... 利用有限差分法数值求解定态薛定谔方程时,文献中常用的是3点中心差分公式,其截断误差为步长的二次方量级,无法满足高精度要求.本文利用多项式插值法,取最近邻和次近邻节点做5点插值,给出导数的四阶精度差分公式,并用于求解几个常见势场中的定态方程.计算结果表明,相对于二阶精度的中心差分,四阶精度差分收敛更快,在相同步长下得到的结果更加精确. 展开更多
关键词 高精度 差分法 插值法 势阱 基态能量
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Gravitational Collapse of a Spherical Star with Heat Flow as a Possible Energy Mechanism of Gamma-Ray Bursts
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作者 CHANG Zhe guan cheng-bo +1 位作者 HUANG Chao-guang LI Xin 《Communications in Theoretical Physics》 SCIE CAS CSCD 2008年第7期271-274,共4页
We investigate the gravitational collapse of a spherically symmetric, inhomogeneous star, which is described by a perfect fluid with heat flow and satisfies the equation of state p = p/3 at its center. In the process ... We investigate the gravitational collapse of a spherically symmetric, inhomogeneous star, which is described by a perfect fluid with heat flow and satisfies the equation of state p = p/3 at its center. In the process of the gravitational collapse, the energy of the whole star is emitted into space. And the remaining spacetime is a Minkowski one without a remnant at the end of the process. For a star with a solar mass and solar radius, the total energy emitted is at the order of 10^54 erg, and the time-scale of the process is about 8 s. These are in the typical values for a gamma-ray burst. Thus, we suggest the gravitational collapse of a spherical star with heat flow as a possible energy mechanism of gamma-ray bursts. 展开更多
关键词 gravitational collapse gamma-ray burst
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