The quantization of closed cosmologies makes it necessary to study squared Dirac operators on closed intervals and the corresponding quantum amplitudes. This paper shows that the proof of essential self-adjointness of these second-order elliptic operators is related to Weyl’s limit point criterion, and to the properties of continuous potentials which are positive near zero and are bounded on the interval [1,infty[
Essential self-adjointness in 1-loop quantum cosmology / Esposito, G; MORALES-TECOTL, H. A.; Pimentel, L. O.. - In: CLASSICAL AND QUANTUM GRAVITY. - ISSN 0264-9381. - 13:5(1996), pp. 957-963. [10.1088/0264-9381/13/5/014]
Essential self-adjointness in 1-loop quantum cosmology
ESPOSITO GPrimo
;
1996
Abstract
The quantization of closed cosmologies makes it necessary to study squared Dirac operators on closed intervals and the corresponding quantum amplitudes. This paper shows that the proof of essential self-adjointness of these second-order elliptic operators is related to Weyl’s limit point criterion, and to the properties of continuous potentials which are positive near zero and are bounded on the interval [1,infty[| File | Dimensione | Formato | |
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