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We propose a new representation for several quantum master equations in so-called quasithermodynamic form. This representation (when it exists) let one to write down dynamical equations both for diagonal and non-diagonal elements of density…

Quantum Physics · Physics 2014-08-21 E. D. Vol

It is shown how the phase-damping master equation, either in Markovian and nonMarkovian regimes, can be obtained as an averaged random unitary evolution. This, apart from offering a common mathematical setup for both regimes, enables us to…

Quantum Physics · Physics 2015-06-26 D. Salgado , J. L. Sanchez-Gomez

We compute asymptotic Quasi-Normal Mode (QNM) frequencies -- i.e. frequencies with a very large Imaginary part -- of a Loop Quantum Gravity inspired Black Hole. The deformations from the Schwarzschild Black Hole are encoded via two…

General Relativity and Quantum Cosmology · Physics 2025-10-30 Clara Montagnon

We compute scalar quasinormal mode (QNM) frequencies in rotating black hole solutions of the most general class of higher-derivative gravity theories, to quartic order in the curvature, that reduce to General Relativity for weak fields and…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Pablo A. Cano , Kwinten Fransen , Thomas Hertog

In the framework of Einstein's gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes. The master equations of perturbations are obtained through Chandrasekhar's…

General Relativity and Quantum Cosmology · Physics 2022-10-11 Kun Meng , Shao-Jun Zhang

For a large class of semiclassical operators $P(h)-z$ which includes Schr\"odinger operators on manifolds with boundary, we construct the Quantum Monodromy operator $M(z)$ associated to a periodic orbit $\gamma$ of the classical flow. Using…

Analysis of PDEs · Mathematics 2008-03-06 Hans Christianson

By introducing the generalized master function of order up to four together with corresponding weight function, we have obtained all quasi-exactly solvable second order differential equations. It is shown that these differntial equations…

Mathematical Physics · Physics 2015-06-26 M. A. Jafarizadeh , S. J. Akhtarshenas

The quasinormal modes (QNMs) of a black hole spacetime are the free, decaying oscillations of the spacetime, and are well understood in the case of Kerr black holes. We discuss a method for computing the QNMs of spacetimes which are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Aaron Zimmerman , Huan Yang , Zachary Mark , Yanbei Chen , Luis Lehner

We investigate the quasinormal modes (QNMs) of Planck stars within the framework of scale-dependent gravity (SDG). In our setup, the running parameter $\alpha$ is fixed to a negative value by matching the effective Newtonian potential to…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Davide Batic , Denys Dutykh , Fabio Scardigli

We present a detailed study of quasinormal modes and greybody factors in the context of the parametrized quasinormal mode framework, in which modifications to general relativity are introduced as small corrections in the potential. We…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Georgios Antoniou

A semiclassical approach to the universal ergodic spectral statistics in quantum star graphs is presented for all known ten symmetry classes of quantum systems. The approach is based on periodic orbit theory, the exact semiclassical trace…

Chaotic Dynamics · Physics 2009-11-10 Sven Gnutzmann , Burkhard Seif

Though investigated extensively in the past, we take a detailed relook at the study of quasinormal modes (QNM) in a known family of wormholes (ultrastatic ($g_{00}=-1$), as well as spacetimes with different, non-constant $g_{00}$), which…

General Relativity and Quantum Cosmology · Physics 2026-01-19 Abhisek Barman Maji , Sayan Kar

We present a comprehensive analysis of quasinormal modes (QNMs) for noncommutative geometry-inspired Schwarzschild black holes, encompassing both non-extreme and extreme cases. By employing a spectral method, we calculate the QNMs in the…

General Relativity and Quantum Cosmology · Physics 2024-07-15 Davide Batic , Denys Dutykh

The possibility that the asymptotic quasi-normal mode (QNM) frequencies can be used to obtain the Bekenstein-Hawking entropy for the Schwarzschild black hole -- commonly referred to as Hod's conjecture -- has received considerable…

High Energy Physics - Theory · Physics 2009-11-11 Archisman Ghosh , S. Shankaranarayanan , Saurya Das

We study the stability of black holes that are solutions of the dilaton gravity derived from string-theoretical models in two and five dimensions against to scalar field perturbations, using the Quasinormal Modes (QNMs) approach. In order…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Ramón Becar , Samuel Lepe , Joel Saavedra

In this contribution, we study the quasinormal modes of a Generic--class of a regular black hole with a magnetic charge in nonlinear electrodynamics, considering scalar and electromagnetic perturbations. The Generic--class contains the…

General Relativity and Quantum Cosmology · Physics 2022-10-31 L. A. López , Valeria Ramírez

Non-pertrubative quantum gravity formulated as a unitary four-dimensional theory suggests that certain amount of non-locality, such as infinite-derivative operators, can be present in the action, in both cases of Analytic Infinite…

High Energy Physics - Theory · Physics 2024-12-04 Alexey S. Koshelev , Chenxuan Li , Anna Tokareva

We present a semiclassical calculation of the generalized form factor which characterizes the fluctuations of matrix elements of the quantum operators in the eigenbasis of the Hamiltonian of a chaotic system. Our approach is based on some…

Chaotic Dynamics · Physics 2007-05-23 M. Turek , D. Spehner , S. Müller , K. Richter

The Quasinormal modes (QNMs) for gravitational and electromagnetic perturbations are calculated in a Scalar-Tensor-Vector (Modified Gravity) spacetime, which was initially proposed to obtain correct dynamics of galaxies and galaxy clusters…

General Relativity and Quantum Cosmology · Physics 2018-04-18 Luciano Manfredi , Jonas Mureika , John Moffat

We compute quasinormal mode frequencies for static limits of physical black holes - semi-classical black hole solutions to Einstein-Hilbert gravity characterized by the finite formation time of an apparent horizon and its weak regularity.…

General Relativity and Quantum Cosmology · Physics 2024-11-11 Fil Simovic , Daniel R. Terno