Quantum Clock in the Projection Evolution Formalism
Using the projection evolution (PEv) approach, time can be included in quantum mechanics as an observable. Having the time operator, it is possible to explore the temporal structure of various quantum events. In the present paper, we discuss the possibility of constructing a quantum clock which adva...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-03-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/10/3/116 |
| _version_ | 1797239178171252736 |
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| author | Andrzej Góźdź Marek Góźdź |
| author_facet | Andrzej Góźdź Marek Góźdź |
| author_sort | Andrzej Góźdź |
| collection | DOAJ |
| description | Using the projection evolution (PEv) approach, time can be included in quantum mechanics as an observable. Having the time operator, it is possible to explore the temporal structure of various quantum events. In the present paper, we discuss the possibility of constructing a quantum clock which advances in time during its quantum evolution, in each step having some probability to localize itself on the time axis in the new position. We propose a working two-state model as the simplest example of such a clock. |
| first_indexed | 2024-04-24T17:47:24Z |
| format | Article |
| id | doaj.art-8ccfb1082d1148599bd4edd87821fd96 |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-04-24T17:47:24Z |
| publishDate | 2024-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-8ccfb1082d1148599bd4edd87821fd962024-03-27T14:06:38ZengMDPI AGUniverse2218-19972024-03-0110311610.3390/universe10030116Quantum Clock in the Projection Evolution FormalismAndrzej Góźdź0Marek Góźdź1Institute of Physics, Maria Curie-Skłodowska University, pl. Marii Curie-Skłodowskiej 1, 20-031 Lublin, PolandInstitute of Computer Science, Maria Curie-Skłodowska University, ul. Akademicka 9, 20-033 Lublin, PolandUsing the projection evolution (PEv) approach, time can be included in quantum mechanics as an observable. Having the time operator, it is possible to explore the temporal structure of various quantum events. In the present paper, we discuss the possibility of constructing a quantum clock which advances in time during its quantum evolution, in each step having some probability to localize itself on the time axis in the new position. We propose a working two-state model as the simplest example of such a clock.https://www.mdpi.com/2218-1997/10/3/116foundation of quantum mechanicsquantum timequantum clock |
| spellingShingle | Andrzej Góźdź Marek Góźdź Quantum Clock in the Projection Evolution Formalism Universe foundation of quantum mechanics quantum time quantum clock |
| title | Quantum Clock in the Projection Evolution Formalism |
| title_full | Quantum Clock in the Projection Evolution Formalism |
| title_fullStr | Quantum Clock in the Projection Evolution Formalism |
| title_full_unstemmed | Quantum Clock in the Projection Evolution Formalism |
| title_short | Quantum Clock in the Projection Evolution Formalism |
| title_sort | quantum clock in the projection evolution formalism |
| topic | foundation of quantum mechanics quantum time quantum clock |
| url | https://www.mdpi.com/2218-1997/10/3/116 |
| work_keys_str_mv | AT andrzejgozdz quantumclockintheprojectionevolutionformalism AT marekgozdz quantumclockintheprojectionevolutionformalism |