Quantization of the Szekeres system
المؤلف | Paliathanasis A. |
المؤلف | Zampeli A. |
المؤلف | Christodoulakis T. |
المؤلف | Mustafa M.T. |
تاريخ الإتاحة | 2019-09-30T07:48:39Z |
تاريخ النشر | 2018 |
اسم المنشور | Classical and Quantum Gravity |
المصدر | Scopus |
الرقم المعياري الدولي للكتاب | 0264-9381 |
الملخص | We study the quantum corrections on the Szekeres system in the context of canonical quantization in the presence of symmetries. We start from an effective point-like Lagrangian with two integrals of motion, one corresponding to the Hamiltonian and the other to a second rank killing tensor. Imposing their quantum version on the wave function results to a solution which is then interpreted in the context of Bohmian mechanics. In this semiclassical approach, it is shown that there is no quantum corrections, thus the classical trajectories of the Szekeres system are not affected at this level. Finally, we define a probability function which shows that a stationary surface of the probability corresponds to a classical exact solution. |
راعي المشروع | AP acknowledges the financial support of FONDECYT grant no. 3160121 and thanks Qatar University for the hospitality provided while part of this work was carried out. AZ acknowledges financial support by the grant GA?R 14-37086G. |
اللغة | en |
الناشر | Institute of Physics Publishing |
الموضوع | quantization semiclassical approach silent universe Szekeres system |
النوع | Article |
رقم العدد | 12 |
رقم المجلد | 35 |
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