| Autor: |
Soham Sen, Sukanta Bhattacharyya, Sunandan Gangopadhyay |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Zdroj: |
Universe, Vol 8, Iss 9, p 450 (2022) |
| Druh dokumentu: |
article |
| ISSN: |
2218-1997 |
| DOI: |
10.3390/universe8090450 |
| Popis: |
The Heisenberg uncertainty principle is modified by the introduction of an observer-independent minimal length. In this work, we have considered the resonant gravitational wave detector in the modified uncertainty principle framework, where we have used the position momentum uncertainty relation with a quadratic order correction only. We have then used the path integral approach to calculate an action for the bar detector in the presence of a gravitational wave and then derived the Lagrangian of the system, leading to the equation of motion for the configuration-space position coordinate in one dimension. We then find a perturbative solution for the coordinate of the detector for a circularly polarized gravitational wave, leading to a classical solution of the same for the given initial conditions. Using this classical form of the coordinate of the detector, we finally obtain the classical form of the on-shell action describing the harmonic oscillator–gravitational wave system. Finally, we have obtained the free particle propagator containing the quantum fluctuation term considering gravitational wave interaction. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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