Fast-forward scheme reexamined: Choice of time and quantization
The fast-forward scheme for accelerating time evolution of quantum states through change of time is reexamined. Dirac’s homogeneous formalism for classical dynamics and canonical quantization warrant that the Schrödinger equation is covariant under reparametrization of time. From this, it is conclud...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721010408 |
| _version_ | 1818733135935832064 |
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| author | Sumiyoshi Abe |
| author_facet | Sumiyoshi Abe |
| author_sort | Sumiyoshi Abe |
| collection | DOAJ |
| description | The fast-forward scheme for accelerating time evolution of quantum states through change of time is reexamined. Dirac’s homogeneous formalism for classical dynamics and canonical quantization warrant that the Schrödinger equation is covariant under reparametrization of time. From this, it is concluded that the scheme does not attain its objective. |
| first_indexed | 2024-12-17T23:44:40Z |
| format | Article |
| id | doaj.art-cb5ba80a0c184b4b8fa993218e7eb2e2 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-17T23:44:40Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-cb5ba80a0c184b4b8fa993218e7eb2e22022-12-21T21:28:21ZengElsevierResults in Physics2211-37972022-01-0132105051Fast-forward scheme reexamined: Choice of time and quantizationSumiyoshi Abe0Department of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China; Institute of Physics, Kazan Federal University, Kazan 420008, Russia; Department of Natural and Mathematical Sciences, Turin Polytechnic University in Tashkent, Tashkent 100095, Uzbekistan; ESIEA, 9 Rue Vesale, Paris 75005, FranceThe fast-forward scheme for accelerating time evolution of quantum states through change of time is reexamined. Dirac’s homogeneous formalism for classical dynamics and canonical quantization warrant that the Schrödinger equation is covariant under reparametrization of time. From this, it is concluded that the scheme does not attain its objective.http://www.sciencedirect.com/science/article/pii/S2211379721010408Fast-forward problemReparametrization of timeHomogeneous formalismCanonical quantization |
| spellingShingle | Sumiyoshi Abe Fast-forward scheme reexamined: Choice of time and quantization Results in Physics Fast-forward problem Reparametrization of time Homogeneous formalism Canonical quantization |
| title | Fast-forward scheme reexamined: Choice of time and quantization |
| title_full | Fast-forward scheme reexamined: Choice of time and quantization |
| title_fullStr | Fast-forward scheme reexamined: Choice of time and quantization |
| title_full_unstemmed | Fast-forward scheme reexamined: Choice of time and quantization |
| title_short | Fast-forward scheme reexamined: Choice of time and quantization |
| title_sort | fast forward scheme reexamined choice of time and quantization |
| topic | Fast-forward problem Reparametrization of time Homogeneous formalism Canonical quantization |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721010408 |
| work_keys_str_mv | AT sumiyoshiabe fastforwardschemereexaminedchoiceoftimeandquantization |