Are eigenfunctions of Hermitian operators always physical
Abstract
We presented as an example a quantization problem in finite space to illustrate that a dynamical observable must be required to have its eigenfunctions satisfy boundary conditions in order to conserve probability. In particular, we showed that the quantum time of arrival operator developed using a modified definition of the momentum operator exhibits the flaw of non-conservation of probability.
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Physics connects
26-28 October 2005, Central Philippine University, Iloilo City