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We have introduced an improved exponential GUP, derived the maximallylocalized states, calculated quantum corrections to the thermodynamicquantities of the Schwardzschild black hole in our previous work. In this paperwe continue to investigate how the maximally localized states and thermodynamicquantities such as Hawking temperature, the entropy, the heat capacity, theevaporation rate, and the decay time change in the extreme case that theinteger n in our GUP rises to infinity.

Maximally localized states and quantum corrections of black hole thermodynamics in the extreme case with an improved exponential GUP