Dynamics of System States in the Probability Representation of Quantum Mechanics
A short description of the notion of states of quantum systems in terms of conventional probability distribution function is presented. The notion and the structure of entangled probability distributions are clarified. The evolution of even and odd Schrödinger cat states of the inverted oscillator i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-05-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/5/785 |
| _version_ | 1797600213967306752 |
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| author | Vladimir N. Chernega Olga V. Man’ko |
| author_facet | Vladimir N. Chernega Olga V. Man’ko |
| author_sort | Vladimir N. Chernega |
| collection | DOAJ |
| description | A short description of the notion of states of quantum systems in terms of conventional probability distribution function is presented. The notion and the structure of entangled probability distributions are clarified. The evolution of even and odd Schrödinger cat states of the inverted oscillator is obtained in the center-of-mass tomographic probability description of the two-mode oscillator. Evolution equations describing the time dependence of probability distributions identified with quantum system states are discussed. The connection with the Schrödinger equation and the von Neumann equation is clarified. |
| first_indexed | 2024-03-11T03:46:04Z |
| format | Article |
| id | doaj.art-c6734d7d55f241f1995c3586094c7dbd |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T03:46:04Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-c6734d7d55f241f1995c3586094c7dbd2023-11-18T01:16:21ZengMDPI AGEntropy1099-43002023-05-0125578510.3390/e25050785Dynamics of System States in the Probability Representation of Quantum MechanicsVladimir N. Chernega0Olga V. Man’ko1Institute of Managment and Digital Technologies, Department of Logistics and Transport System Managment, Russian University of Transport (MIIT), Obraztsova Street, 9/9, Moscow 127994, RussiaLebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow 119991, RussiaA short description of the notion of states of quantum systems in terms of conventional probability distribution function is presented. The notion and the structure of entangled probability distributions are clarified. The evolution of even and odd Schrödinger cat states of the inverted oscillator is obtained in the center-of-mass tomographic probability description of the two-mode oscillator. Evolution equations describing the time dependence of probability distributions identified with quantum system states are discussed. The connection with the Schrödinger equation and the von Neumann equation is clarified.https://www.mdpi.com/1099-4300/25/5/785entangled probability distributionsentanglementquantizer operatordequantizer operatorsymplectic tomographycenter-of-mass tomography |
| spellingShingle | Vladimir N. Chernega Olga V. Man’ko Dynamics of System States in the Probability Representation of Quantum Mechanics Entropy entangled probability distributions entanglement quantizer operator dequantizer operator symplectic tomography center-of-mass tomography |
| title | Dynamics of System States in the Probability Representation of Quantum Mechanics |
| title_full | Dynamics of System States in the Probability Representation of Quantum Mechanics |
| title_fullStr | Dynamics of System States in the Probability Representation of Quantum Mechanics |
| title_full_unstemmed | Dynamics of System States in the Probability Representation of Quantum Mechanics |
| title_short | Dynamics of System States in the Probability Representation of Quantum Mechanics |
| title_sort | dynamics of system states in the probability representation of quantum mechanics |
| topic | entangled probability distributions entanglement quantizer operator dequantizer operator symplectic tomography center-of-mass tomography |
| url | https://www.mdpi.com/1099-4300/25/5/785 |
| work_keys_str_mv | AT vladimirnchernega dynamicsofsystemstatesintheprobabilityrepresentationofquantummechanics AT olgavmanko dynamicsofsystemstatesintheprobabilityrepresentationofquantummechanics |