A Kantowski-Sachs model with a modified quantization prescription is considered. Such quantization rules, inspired by the so-called generalized uncertainty principle, correspond to a modified commutation relation between minisuperspace variables and their conjugate momenta. For a wide range of the modification parameter, this approach differentiates from the standard results by the presence of a potential well in the corresponding Wheeler-DeWitt equation. This then produces the appearance of a set of wave functions, with corresponding discrete energy spectrum.

Minimal length effects on quantum cosmology and quantum black hole models

Bosso P.;
2020-01-01

Abstract

A Kantowski-Sachs model with a modified quantization prescription is considered. Such quantization rules, inspired by the so-called generalized uncertainty principle, correspond to a modified commutation relation between minisuperspace variables and their conjugate momenta. For a wide range of the modification parameter, this approach differentiates from the standard results by the presence of a potential well in the corresponding Wheeler-DeWitt equation. This then produces the appearance of a set of wave functions, with corresponding discrete energy spectrum.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11386/4827195
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