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We argue that, in the presence of time-dependent fluxes and quantum corrections, four-dimensional de Sitter solutions should appear in the type IIB string landscape and not in the swampland. Our construction considers generic choices of local and non-local quantum terms and satisfies the no-go and the swampland criteria, the latter being recently upgraded using the trans-Planckian cosmic censorship. Interestingly, both time-independent Newton constant and moduli stabilization may be achieved in such backgrounds even in the presence of time-dependent fluxes and internal spaces. However, once the time-dependence is switched off, any four-dimensional solution with de Sitter isometries appears to have no simple effective field theory descriptions and is back in the swampland., 30 pages, 4 figures; v2: Typos corrected and references added; v3: Typos corrected and more references added

A unified description for the Bose and Fermi gases trapped in an external generic power law potential \(U=\sum _{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}\) is presented using the grandpotential of the system in d dimensional space. The thermodynamic quantities of the quantum gases are derived from the grand potential. An equivalence between the trapped Bose and Fermi gases is constructed from the thermodynamic quantities in one dimension (\(d=1\)) using the Landen relation. It is also found that the established equivalence between the ideal free Bose and Fermi gases in \(d=2\) (Lee in Phys Rev E 55:1518, 1997) is lost when external potential is applied.