Sources of quantum waves

Details Sources of quantum waves Sources of quantum waves

2000-07-19

arxiv.org/abs/quant-ph/0007066v2

Physics

Quantum Physics

12 pages, 7 inlined figures; typos corrected

Scientific paper

10.1088/0305-4470/34/20/303

Due to the space and time dependence of the wave function in the time dependent Schroedinger equation, different boundary conditions are possible. The equation is usually solved as an ``initial value problem'', by fixing the value of the wave function 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.

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