| Autor: |
Sergey L. Cherkas, Vladimir L. Kalashnikov |
| Jazyk: |
angličtina |
| Rok vydání: |
2023 |
| Předmět: |
|
| Zdroj: |
Universe, Vol 9, Iss 12, p 508 (2023) |
| Druh dokumentu: |
article |
| ISSN: |
2218-1997 |
| DOI: |
10.3390/universe9120508 |
| Popis: |
Grassmann variables are used to formally transform a system with constraints into an unconstrained system. As a result, the Schrödinger equation arises instead of the Wheeler–DeWitt one. The Schrödinger equation describes a system’s evolution, but a definition of the scalar product is needed to calculate the mean values of the operators. We suggest an explicit formula for the scalar product related to the Klein–Gordon scalar product. The calculation of the mean values is compared with an etalon method in which a redundant degree of freedom is excluded. Nevertheless, we note that a complete correspondence with the etalon picture is not found. Apparently, the picture with Grassmann variables requires a further understanding of the underlying Hilbert space. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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