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This paper is a list of formulae useful for purposes of teaching
quantum mechanics and/or of its simple phenomenological
applications. The text represents a continuation of a very long
series published recently by my friend C-S Jia with co-authors and
describing various applications of the so called Green-Liouville
transformation of the Gauss' hypergeometric equation (with
Jacobi-polynomial solutions) into various types of the ordinary
differential Schr\"{o}dinger equation. To all these carefully
presented lists of formulae I would only like to add that the
origin of the method dates back to the very old J. Liouville's
paper in J. Math. Pures Appl. 1 (1837) 16 and that one of its key
applications in quantum physics is the WKB solution method.