Deformation quantization in FLRW geometries
Abstract We investigate the application of deformation quantization to the system of a free particle evolving within a universe described by a Friedmann–Lemaître–Robertson–Walker (FLRW) geometry. This approach allows us to analyze the dynamics of classical and quantum phase-space distributions in cu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14197-8 |
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| author | Alfonso F. Bobadilla Jose A. R. Cembranos |
| author_facet | Alfonso F. Bobadilla Jose A. R. Cembranos |
| author_sort | Alfonso F. Bobadilla |
| collection | DOAJ |
| description | Abstract We investigate the application of deformation quantization to the system of a free particle evolving within a universe described by a Friedmann–Lemaître–Robertson–Walker (FLRW) geometry. This approach allows us to analyze the dynamics of classical and quantum phase-space distributions in curved spacetime. We demonstrate that when the curvature of the spatial sections is non-zero, the classical Liouville equation and its quantum counterpart, represented by the Moyal equation, exhibit distinct behaviors. Specifically, we derive a semi-classical dynamical equation that incorporates curvature effects and analyze the evolution of the Wigner quasi-distribution function in this cosmological context. By employing a perturbative approach, we elaborate on the case of a particle described by a spherically symmetric Wigner distribution and explore the implications for phase-space dynamics in expanding universes. Our findings provide new insights into the interplay between quantum mechanics, phase-space formulations, and cosmological expansion, highlighting the importance of deformation quantization techniques for understanding quantum systems in curved spacetime. |
| format | Article |
| id | doaj-art-5c2a521f96ef417d89fa9afe48d056fe |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-5c2a521f96ef417d89fa9afe48d056fe2025-08-20T03:53:57ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-018551910.1140/epjc/s10052-025-14197-8Deformation quantization in FLRW geometriesAlfonso F. Bobadilla0Jose A. R. Cembranos1Departamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense de MadridDepartamento de Física Teórica, Facultad de Ciencias Físicas, Universidad Complutense de MadridAbstract We investigate the application of deformation quantization to the system of a free particle evolving within a universe described by a Friedmann–Lemaître–Robertson–Walker (FLRW) geometry. This approach allows us to analyze the dynamics of classical and quantum phase-space distributions in curved spacetime. We demonstrate that when the curvature of the spatial sections is non-zero, the classical Liouville equation and its quantum counterpart, represented by the Moyal equation, exhibit distinct behaviors. Specifically, we derive a semi-classical dynamical equation that incorporates curvature effects and analyze the evolution of the Wigner quasi-distribution function in this cosmological context. By employing a perturbative approach, we elaborate on the case of a particle described by a spherically symmetric Wigner distribution and explore the implications for phase-space dynamics in expanding universes. Our findings provide new insights into the interplay between quantum mechanics, phase-space formulations, and cosmological expansion, highlighting the importance of deformation quantization techniques for understanding quantum systems in curved spacetime.https://doi.org/10.1140/epjc/s10052-025-14197-8 |
| spellingShingle | Alfonso F. Bobadilla Jose A. R. Cembranos Deformation quantization in FLRW geometries European Physical Journal C: Particles and Fields |
| title | Deformation quantization in FLRW geometries |
| title_full | Deformation quantization in FLRW geometries |
| title_fullStr | Deformation quantization in FLRW geometries |
| title_full_unstemmed | Deformation quantization in FLRW geometries |
| title_short | Deformation quantization in FLRW geometries |
| title_sort | deformation quantization in flrw geometries |
| url | https://doi.org/10.1140/epjc/s10052-025-14197-8 |
| work_keys_str_mv | AT alfonsofbobadilla deformationquantizationinflrwgeometries AT josearcembranos deformationquantizationinflrwgeometries |