Sources of quantum waves
Sources of quantum waves
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量子波的来源
DOI：
10.1088/0305-4470/34/20/303
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
J. G. Muga
中科院分区：
文献类型：
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作者：
A. D. Baute;Í. Egusquiza;J. G. Muga
由于瞬态薛定谔方程中波函数的空间和时间依赖性，可能存在不同的边界条件。该方程通常作为“初值问题”求解，通过固定给定时刻所有空间中的波函数值。我们将这种标准方法与“源边界条件”进行比较，“源边界条件”始终在给定区域中固定波，特别是在一维的点上。与众所周知的初值问题方法的物理解释相反，源方法的解释仍然不清楚，因为它引入了负能量分量，即使对于“自由运动”和依赖于时间的范数也是如此。这项工作通过找到与等效初始值问题的联系为源方法提供了物理意义。
Due to the space and time dependence of the wavefunction in the time-dependent Schrodinger equation, different boundary conditions are possible. The equation is usually solved as an `initial-value problem', by fixing the value of the wavefunction in all space at a given instant. We compare this standard approach to `source boundary conditions' that fix the wave at all times in a given region, in particular at a point in one dimension. In contrast to the well known physical interpretation of the initial-value-problem approach, the interpretation of the source approach has remained unclear, since it introduces negative energy components, even for `free motion', and a time-dependent norm. This work provides physical meaning to the source method by finding the link with equivalent initial-value problems.