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Quantum Physics

Title: Sources of quantum waves

Abstract: 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.
Comments: 12 pages, 7 inlined figures; typos corrected
Subjects: Quantum Physics (quant-ph)
Journal reference: J. Phys. A: Math. Gen. 34 (2001) 4289
DOI: 10.1088/0305-4470/34/20/303
Report number: EHU-FT/0007
Cite as: arXiv:quant-ph/0007066
  (or arXiv:quant-ph/0007066v2 for this version)

Submission history

From: Inigo L. Egusquiza [view email]
[v1] Wed, 19 Jul 2000 16:50:37 GMT (48kb)
[v2] Thu, 20 Jul 2000 11:07:59 GMT (48kb)