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math.SP2020
Some generic fractal properties of bounded self-adjoint operators
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
We study generic fractal properties of bounded self-adjoint operators through lower and upper generalized fractal dimensions of their spectral measures. Two groups of results are p…
math-ph2020★ 1 cited
Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
It is shown that, Baire generically, the bound states of the Hamiltonian of the Hydrogen atom have spectral measures with exact -lower and -upper generalized fractal dimens…