Свідчення некомутативності від детекторів гравітаційних хвиль
| Autor: | Sukanta Bhattacharyya, Sunandan Gangopadhyay, Anirban Saha |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Length scale
General Physics and Astronomy FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) Space (mathematics) 01 natural sciences General Relativity and Quantum Cosmology symbols.namesake Quantum mechanics 0103 physical sciences 010306 general physics noncommutative (NC) Physics Quantum Physics 010308 nuclear & particles physics Gravitational wave Order (ring theory) Noncommutative geometry gravitational waves Excited state symbols NC quantum field theory Ground state Hamiltonian (quantum mechanics) Quantum Physics (quant-ph) NC quantum mechanics |
| Zdroj: | Ukrainian Journal of Physics; Vol. 64 No. 11 (2019); 1029 Український фізичний журнал; Том 64 № 11 (2019); 1029 |
| ISSN: | 2071-0194 2071-0186 |
| DOI: | 10.15407/ujpe64.11 |
| Popis: | The comparison between the noncommutative length scale $\sqrt{\theta}$ and the length variation $\delta L=h L$, detected in the GW detectors indicate that there is a strong possibility to detect the noncommutative structure of space in the GW detector set up. We therefore explore how the response of a bar detector gets affected due to the presence of noncommutative structure of space keeping terms upto second order in the gravitational wave perturbation ($h$) in the Hamiltonian. Interestingly, the second order term in $h$ shows a transition between the ground state and one of the perturbed second excited states that was absent when the calculation was restricted only to first order in $h$. Comment: This write up is based on a talk presented at the XI Bolyai-Gauss-Lobachevsky (BGL-2019) Conference on Non-Euclidean, Non-Commutative Geometry and Quantum Physics, held at the Bogolyubov Institute for Theoretical Physics, Kyiv from 19-24 May,2019 and is based on the work by the authors published in Class.Quant.Grav. 36 (2019) 055006 and contains some new results and observations |
| Databáze: | OpenAIRE |
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