Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model
It has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by diffeomorphisms, produce the same physical predictions is still debated. In this work, we focus our attention on a few dif...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Universe |
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| Online Access: | https://www.mdpi.com/2218-1997/8/2/108 |
| _version_ | 1827652462956249088 |
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| author | Giulia Gubitosi Salvatore Mignemi |
| author_facet | Giulia Gubitosi Salvatore Mignemi |
| author_sort | Giulia Gubitosi |
| collection | DOAJ |
| description | It has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by diffeomorphisms, produce the same physical predictions is still debated. In this work, we focus our attention on a few different momentum spaces that can be associated to the Galilean Snyder noncommutative spacetime model and show that they produce different predictions for the energy spectrum of the harmonic oscillator. |
| first_indexed | 2024-03-09T20:55:48Z |
| format | Article |
| id | doaj.art-c525ff29049c4efc867acc929ea886cf |
| institution | Directory Open Access Journal |
| issn | 2218-1997 |
| language | English |
| last_indexed | 2024-03-09T20:55:48Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Universe |
| spelling | doaj.art-c525ff29049c4efc867acc929ea886cf2023-11-23T22:23:31ZengMDPI AGUniverse2218-19972022-02-018210810.3390/universe8020108Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder ModelGiulia Gubitosi0Salvatore Mignemi1Dipartimento di Fisica “Ettore Pancini”, Università di Napoli Federico II, 80125 Napoli, ItalyDipartimento di Matematica, Università di Cagliari, Via Ospedale 72, 09124 Cagliari, ItalyIt has been pointed out that different choices of momenta can be associated to the same noncommutative spacetime model. The question of whether these momentum spaces, related by diffeomorphisms, produce the same physical predictions is still debated. In this work, we focus our attention on a few different momentum spaces that can be associated to the Galilean Snyder noncommutative spacetime model and show that they produce different predictions for the energy spectrum of the harmonic oscillator.https://www.mdpi.com/2218-1997/8/2/108noncommutative geometryquantum spacetimedeformed quantum mechanics |
| spellingShingle | Giulia Gubitosi Salvatore Mignemi Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model Universe noncommutative geometry quantum spacetime deformed quantum mechanics |
| title | Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model |
| title_full | Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model |
| title_fullStr | Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model |
| title_full_unstemmed | Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model |
| title_short | Diffeomorphisms in Momentum Space: Physical Implications of Different Choices of Momentum Coordinates in the Galilean Snyder Model |
| title_sort | diffeomorphisms in momentum space physical implications of different choices of momentum coordinates in the galilean snyder model |
| topic | noncommutative geometry quantum spacetime deformed quantum mechanics |
| url | https://www.mdpi.com/2218-1997/8/2/108 |
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