Eliezer Hameiri
Abstract
It is generally accepted that the continuous spectrum can be detected by the presence of nonsquare integrable solutions. This is shown to be incorrect as a general principle. A method to determine the singularity of ’’eigenfunctions’’ corresponding to the continuous spectrum is presented.
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It is generally accepted that the continuous spectrum can be detected by the presence of nonsquare integrable solutions. This is shown to be incorrect as a general principle. A method to determine the singularity of ’’eigenfunctions’’ corresponding to the continuous spectrum is presented.
Key concepts: Physics, Eigenfunction, Continuous spectrum, Spectrum (functional analysis), Singularity, Integrable system, Mathematical analysis, Mathematical physics