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hep-th1998
Representations of the Heisenberg algebra by difference operators
Andrzej Z. Gorski, Jacek Szmigielski
We construct a class of representations of the Heisenberg algebra in terms of the complex shift operators subject to the proper continuous limit imposed by the correspondence princ…
chao-dyn1998
Comment on fractality of quantum mechanical energy spectra
Andrzej Z. Gorski
The fractal properties of the energy spectra of quantum systems are discussed in connection with the paper by Sáiz and Martínez [Phys. Rev. E 54, 2431 (1996)]. It is shown that for…