Damped modes for a bosonic quantum oscillator in the near-horizon geometry of the BTZ black hole

Dirac oscillator in the near-horizon region of BTZ black hole

“…In the theoretical framework, determining Hawking radiation for BHs involves obtaining solutions to the relativistic wave equations for relativistic test fields. This is because a BH background undergoes damped oscillations when perturbed [46][47][48][49][50][51][52][53][54]. When a classical BH undergoes perturbation, its relaxation follows a set of quasinormal modes (QNMs) characterized by complex frequencies.…”

“…When a classical BH undergoes perturbation, its relaxation follows a set of quasinormal modes (QNMs) characterized by complex frequencies. It is known that this response mirrors that of damped harmonic oscillators [46][47][48][49][50][51][52][53][54]. Such investigations often rely on numerical methods, as obtaining analytical results for the evolution of test fields in BH space-time seems not to be possible in every case [55,56].…”

“…These modes may include long-lived trapped modes known as resonance spectra or quasi-bound states, localized in the BH potential well, and they vanish at spatial infinity [57]. This necessitates the imposition of two appropriate boundary conditions [46,47,[51][52][53][54].…”

Thermodynamic properties of an interacting fermion-antifermion pair in a magnetized spacetime with a non-zero cosmological constant

“…The elucidation of these fermionic interactions not only underpins our comprehension of electron behaviors within condensed matter but extends its reach to unveil the atomic nucleus structure and decipher the fundamental forces shaping the universe. These analytical results serve as the bedrock upon which numerous branches of physics are built, profoundly shaping theoretical frameworks and providing critical guidance to experimental inquiries [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20].…”