[01] V. K. Ignatovich, Frank Laboratory of Neutron Physics of the Joint Institute for Nuclear Research, Dubna, Russia.

It is a commonplace, which can be found in all textbooks on quantum mechanics, to believe that bound states always have discrete spectra. Here, contrary to the belief, the examples of bound states with continuous spectra are demonstrated. They contain singular wave functions. In particular, it is shown, that the hydrogen-like atom can contain the continuous spectrum of singular bound states, when it has zero angular momentum. Relation of these states to possible cold fusion nuclear reactions and to light of stars is discussed.

Quantum Mechanics, Bound States, Singular Wave Function, Hydrogen-Like States, Cold Nuclear Fusion

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