2 papers
quant-ph2025
Propagators of singular anharmonic oscillators with quasi-equidistant spectra
Andrey M. Pupasov-Maksimov, Marcelo Silva Oliveira
Darboux transformations of the singular harmonic oscillator are considered. Analytical expressions for the propagators are obtained, using the image method applied to formal singul…
math.NT2023
On the Transcendence of Power Towers of Liouville Numbers
Diego Marques, Marcelo Oliveira, Pavel Trojovsk\' y
In this paper, among other things, we explicit a -dense set of Liouville numbers, for which the triple power tower of any of its elements is a transcendental number.