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In this paper, we study the statistical mechanics within the polymer quantization framework in the semiclassical regime. We apply a non-canonical transformation to the phase space variables. Then, we use this non-canonical transformation to…

General Relativity and Quantum Cosmology · Physics 2025-11-24 Kourosh Nozari , Hamed Ramezani

We study the quasinormal modes and non-linear dynamics of a simplified model of semi-holography, which consistently integrates mutually interacting perturbative and strongly coupled holographic degrees of freedom such that the full system…

High Energy Physics - Theory · Physics 2021-11-15 Sukrut Mondkar , Ayan Mukhopadhyay , Anton Rebhan , Alexander Soloviev

We formulate a ''minimal'' interpretational scheme for fairly general (minisuperspace) quantum cosmological models. Admitting as few exact mathematical structure as is reasonably possible at the fundamental level, we apply approximate…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Franz Embacher

We prove that quasinormal modes (or resonant states) for linear wave equations in the subextremal Kerr and Kerr-de Sitter spacetimes are real analytic. The main novelty of this paper is the observation that the bicharacteristic flow…

Analysis of PDEs · Mathematics 2023-12-20 Oliver Petersen , András Vasy

The quasinormal modes of massless scalar field in rotating Bardeen and Hayward regular black holes are studied. The fundamental quasinormal modes and $n=1$ first overtone quasinormal modes are calculated with two numerical methods, i.e. WKB…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Yating Peng , Jia-Hui Huang

In this letter, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr-Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where…

General Relativity and Quantum Cosmology · Physics 2017-08-02 Kai Lin , Wei-Liang Qian , Alan B. Pavan , Elcio Abdalla

We present a complete, self-contained formulation of the Bohr--Sommerfeld quantization rule for a semiclassical self-adjoint $2 \times 2$ system on the real line, arising from a simple closed curve in phase space. We focus on the case where…

Mathematical Physics · Physics 2026-04-29 Simon Becker , Setsuro Fujiié , Jens Wittsten

After a brief introduction to quasinormal modes in dissipative systems, we review the WKB formalism in the context of the analytical calculation of quasinormal frequencies. We apply these results to the calculation of quasinormal…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Filipe Moura , João Rodrigues

In this work, quasinormal modes (QNMs) of the Schwarzschild black hole are investigated by taking into account the quantum fluctuations. Gravitational and Dirac perturbations were considered for this case. The Regge-Wheeler gauge and the…

General Relativity and Quantum Cosmology · Physics 2016-04-05 Mahamat Saleh , Bouetou Bouetou Thomas , Kofané Timoléon Crépin

Computations of the strong field generation of gravitational waves by black hole processes produce waveforms that are dominated by quasinormal (QN) ringing, a damped oscillation characteristic of the black hole. We describe here the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Hans-Peter Nollert , Richard H. Price

A multi-cavity quantization scheme is developed using quasinormal modes (QNMs) of optical cavities embedded in a homogeneous background medium for cases where retardation is significant in the inter-cavity coupling. Using quantities that…

Mesoscale and Nanoscale Physics · Physics 2024-10-24 Robert Fuchs , Juanjuan Ren , Sebastian Franke , Stephen Hughes , Marten Richter

We investigate the physics of quasicrystalline models in the presence of a uniform magnetic field, focusing on the presence and construction of topological states. This is done by using the Hofstadter model but with the sites and couplings…

Strongly Correlated Electrons · Physics 2020-04-28 Callum W. Duncan , Sourav Manna , Anne E. B. Nielsen

We investigate the scalar, gravitational, and electromagnetic quasinormal mode spectra of Schwarzschild anti-de Sitter black holes using the numerical continued fraction method. The spectra have similar, almost linear structures. With a few…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Ramin G. Daghigh , Michael D. Green , Jodin C. Morey

I review how the application of superconformal quantum mechanics and light-front holography leads to new insights into the physics of color confinement, the spectroscopy and dynamics of hadrons, as well as surprising supersymmetric…

High Energy Physics - Phenomenology · Physics 2025-03-31 Stanley J. Brodsky

We study gravitational perturbations of electrically charged black holes in (3+1)-dimensional Einstein-Born-Infeld gravity with a positive cosmological constant. For the axial perturbations, we obtain a set of decoupled Schrodinger-type…

High Energy Physics - Theory · Physics 2020-08-24 Chong Oh Lee , Jin Young Kim , Mu-In Park

We study the low-temperature limit of scalar perturbations of the Kerr-AdS$_{5}$ black-hole for generic rotational parameters. We motivate the study by considering real-time holography of small black hole backgrounds. Using the…

High Energy Physics - Theory · Physics 2023-02-28 Julián Barragán Amado , Bruno Carneiro da Cunha , Elisabetta Pallante

Recent studies have shown that rotating black holes can undergo spontaneous scalarization, leading to deviations from general relativity in the strong-field regime. We present the first nonperturbative calculation of the quasinormal modes…

General Relativity and Quantum Cosmology · Physics 2025-11-05 Wei Xiong , Peng-Cheng Li

We present a phase-space method for the Bose-Hubbard model based on the Q-function representation. In particular, we consider two model Hamiltonians in the mean-field approximation; the first is the standard "one site" model where quantum…

Soft Condensed Matter · Physics 2007-05-23 P. Jain , C. W. Gardiner

We study quasinormal modes (QNMs) in 5D electrically charged Bardeen black holes spacetime by considering the scalar and electromagnetic field perturbations. The black holes spacetime is an exact solution of Einstein gravity coupled to…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Kimet Jusufi , Muhammed Amir , Md Sabir Ali , Sunil D. Maharaj

We study the asymptotic behavior of parametrized black hole quasinormal modes (QNMs) in the high-overtone limit. To gain insights into their analytical structure, we apply the exact WKB method, which was recently developed by the same…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Taiga Miyachi , Ryo Namba , Hidetoshi Omiya , Naritaka Oshita