Essential self-adjointness in one-loop quantum cosmology
Giampiero Esposito, Hugo A. Morales-Tecotl, Luis O. Pimentel
TL;DR
This paper establishes the essential self-adjointness of squared Dirac operators in one-loop quantum cosmology, ensuring well-defined quantum amplitudes for closed cosmological models.
Contribution
It proves the self-adjointness of second-order elliptic operators relevant to quantized closed cosmologies, a key step for rigorous quantum cosmological analysis.
Findings
Proved self-adjointness of squared Dirac operators on closed intervals.
Ensured well-defined quantum amplitudes in one-loop quantum cosmology.
Provided mathematical foundation for quantum cosmological models.
Abstract
The quantization of closed cosmologies makes it necessary to study squared Dirac operators on closed intervals and the corresponding quantum amplitudes. This paper proves self-adjointness of these second-order elliptic operators.
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