Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology

0559805 - ÚJF 2023 RIV CH eng J - Journal Article
Znojil, Miloslav
Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology.
Universe. Roč. 8, č. 7 (2022), č. článku 385. E-ISSN 2218-1997
Institutional support: RVO:61389005
Keywords : quantum gravity and the problem of the Big Bang * hidden Hermitian formulations of quantum mechanics * stationary Wheeler-DeWitt system * physical Hilbert space metric * non-stationary Wheeler-DeWitt system
OECD category: Astronomy (including astrophysics,space science)
Impact factor: 2.9, year: 2022
Method of publishing: Open access
https://doi.org/10.3390/universe8070385

In the broader methodical framework of the quantization of gravity, the crypto-Hermitian (or non-Hermitian) version of Dirac's interaction picture is considered. The formalism is briefly outlined and shown to be well suited for an innovative treatment of certain cosmological models. In particular, it is demonstrated that the Wheeler-DeWitt equation could be a promising candidate for the description of the evolution of the quantized Universe near its initial Big Bang singularity.
Permanent Link: https://hdl.handle.net/11104/0333004