Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology
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, i...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/7/385 |
| _version_ | 1797415194098401280 |
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| author | Miloslav Znojil |
| author_facet | Miloslav Znojil |
| author_sort | Miloslav Znojil |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T05:45:13Z |
| format | Article |
| id | doaj.art-9482c6e601b14946b98300bc284abb32 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T05:45:13Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-9482c6e601b14946b98300bc284abb322023-12-03T12:21:54ZengMDPI AGUniverse2218-19972022-07-018738510.3390/universe8070385Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum CosmologyMiloslav Znojil0Department of Physics, Faculty of Science, University of Hradec Králové, Rokitanského 62, 500 03 Hradec Králové, Czech RepublicIn 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.https://www.mdpi.com/2218-1997/8/7/385quantum gravity and the problem of the Big Banghidden Hermitian formulations of quantum mechanicsstationary Wheeler-DeWitt systemphysical Hilbert space metricnon-stationary Wheeler-DeWitt system |
| spellingShingle | Miloslav Znojil Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology Universe 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 |
| title | Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology |
| title_full | Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology |
| title_fullStr | Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology |
| title_full_unstemmed | Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology |
| title_short | Wheeler-DeWitt Equation and the Applicability of Crypto-Hermitian Interaction Representation in Quantum Cosmology |
| title_sort | wheeler dewitt equation and the applicability of crypto hermitian interaction representation in quantum cosmology |
| topic | 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 |
| url | https://www.mdpi.com/2218-1997/8/7/385 |
| work_keys_str_mv | AT miloslavznojil wheelerdewittequationandtheapplicabilityofcryptohermitianinteractionrepresentationinquantumcosmology |