Light in dielectric media and scalar fields in a de Sitter spacetime
Abstract In the present work we discuss the behavior of light in a linear dielectric medium with a time-varying electric permittivity that increases exponentially at a constant rate and of a scalar field in a de Sitter spacetime, in both the classical and quantum contexts. Notably, we find that the...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-021-09496-9 |
| _version_ | 1818365451493703680 |
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| author | I. A. Pedrosa B. F. Ramos K. Bakke |
| author_facet | I. A. Pedrosa B. F. Ramos K. Bakke |
| author_sort | I. A. Pedrosa |
| collection | DOAJ |
| description | Abstract In the present work we discuss the behavior of light in a linear dielectric medium with a time-varying electric permittivity that increases exponentially at a constant rate and of a scalar field in a de Sitter spacetime, in both the classical and quantum contexts. Notably, we find that the behavior of these two systems are identical and can be described by similar Hamiltonians. By using the Lewis–Riesenfeld invariant method together with Fock states we solve the time-dependent Schrödinger equation for this problem and use its solutions to construct coherent states for the scalar field. Finally, we employ both the Fock and coherent states to evaluate some important properties of the quantized scalar field, such as expectation values of the amplitude and momentum of each mode their variances and the respective uncertainty principle. |
| first_indexed | 2024-12-13T22:20:28Z |
| format | Article |
| id | doaj.art-8dee6e99f08c48debb8a071102d334dc |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-13T22:20:28Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-8dee6e99f08c48debb8a071102d334dc2022-12-21T23:29:24ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-08-018181710.1140/epjc/s10052-021-09496-9Light in dielectric media and scalar fields in a de Sitter spacetimeI. A. Pedrosa0B. F. Ramos1K. Bakke2Departamento de Física, CCEN, Universidade Federal da ParaíbaDepartamento de Física, CCEN, Universidade Federal da ParaíbaDepartamento de Física, CCEN, Universidade Federal da ParaíbaAbstract In the present work we discuss the behavior of light in a linear dielectric medium with a time-varying electric permittivity that increases exponentially at a constant rate and of a scalar field in a de Sitter spacetime, in both the classical and quantum contexts. Notably, we find that the behavior of these two systems are identical and can be described by similar Hamiltonians. By using the Lewis–Riesenfeld invariant method together with Fock states we solve the time-dependent Schrödinger equation for this problem and use its solutions to construct coherent states for the scalar field. Finally, we employ both the Fock and coherent states to evaluate some important properties of the quantized scalar field, such as expectation values of the amplitude and momentum of each mode their variances and the respective uncertainty principle.https://doi.org/10.1140/epjc/s10052-021-09496-9 |
| spellingShingle | I. A. Pedrosa B. F. Ramos K. Bakke Light in dielectric media and scalar fields in a de Sitter spacetime European Physical Journal C: Particles and Fields |
| title | Light in dielectric media and scalar fields in a de Sitter spacetime |
| title_full | Light in dielectric media and scalar fields in a de Sitter spacetime |
| title_fullStr | Light in dielectric media and scalar fields in a de Sitter spacetime |
| title_full_unstemmed | Light in dielectric media and scalar fields in a de Sitter spacetime |
| title_short | Light in dielectric media and scalar fields in a de Sitter spacetime |
| title_sort | light in dielectric media and scalar fields in a de sitter spacetime |
| url | https://doi.org/10.1140/epjc/s10052-021-09496-9 |
| work_keys_str_mv | AT iapedrosa lightindielectricmediaandscalarfieldsinadesitterspacetime AT bframos lightindielectricmediaandscalarfieldsinadesitterspacetime AT kbakke lightindielectricmediaandscalarfieldsinadesitterspacetime |