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Quantum mechanics is sensitive to the geometry of the underlying space. Here, we present a framework for quantum scattering of a non-relativistic particle confined to a two-dimensional space. When the motion manifold hosts localized…

Quantum Physics · Physics 2024-02-19 Lars Meschede , Benjamin Schwager , Dominik Schulz , Jamal Berakdar

Particle scattering and radiation by a magnetically charged, dilatonic black hole is investigated near the extremal limit at which the mass is a constant times the charge. Near this limit a neighborhood of the horizon of the black hole is…

High Energy Physics - Theory · Physics 2009-09-17 S. B. Giddings , A. Strominger

In this paper we systematically study a five-parameters class of spherically symmetric polymer black/white hole solutions, and find that only three independent combinations are physical and uniquely determine the spacetime properties. After…

General Relativity and Quantum Cosmology · Physics 2022-03-16 Wen-Cong Gan , Nilton O. Santos , Fu-Wen Shu , Anzhong Wang

Finsler geometry is just riemannian geometry without the quadratic restriction[1]. In this paper, we study the motion of massive(non-zero rest mass) and massless particles for schwarzschild metric in finsler spacetime in the case of two…

General Relativity and Quantum Cosmology · Physics 2018-01-08 V. Sai sumith Reddy

We investigate the motion of uncharged particles scattered by a binary system consisting of extremely charged black holes in equilibrium as described by the Majumdar-Papapetrou solution. We focus on unbound orbits confined to the plane…

General Relativity and Quantum Cosmology · Physics 2020-01-08 Donato Bini , Andrea Geralico , Gabriele Gionti , Wolfango Plastino , Nelson Velandia

Finite-energy particles in free fall can collide with diverging center-of-mass energy near rapidly rotating black holes. What are the most salient observational signatures of this remarkable geometric effect? Here we revisit the problem…

General Relativity and Quantum Cosmology · Physics 2025-06-09 Delilah E. A. Gates , Shahar Hadar

In binary mixtures of Bose-Einstein condensates, massive-vortex dipoles can arise, and undergo scattering processes against obstacles. These show an intriguing dynamics, governed by the strongly nonlinear character of the quantum vortex…

Quantum Gases · Physics 2025-10-28 Alice Bellettini , Enrico Ortu , Vittorio Penna

In this paper, we study a proposal put forward recently by Bodendorfer, Mele and M\"unch and Garc\'\i{}a-Quismondo and Marug\'an, in which the two polymerization parameters of spherically symmetric black hole spacetimes are the Dirac…

General Relativity and Quantum Cosmology · Physics 2022-10-21 Geeth Ongole , Hongchao Zhang , Tao Zhu , Anzhong Wang , Bin Wang

We describe the quantum mechanical scattering of slowly moving maximally charged black holes. Our technique is to develop a canonical quantization procedure on the parameter space of possible static classical solutions. With this, we…

High Energy Physics - Theory · Physics 2011-04-20 Jennie Traschen , Robert Ferrel

We investigate the motion of particles in the spacetime of a Kerr black hole immersed in swirling universes. Using the Poincar\'{e} section, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction, we present the…

General Relativity and Quantum Cosmology · Physics 2024-10-11 Deshui Cao , Lina Zhang , Songbai Chen , Qiyuan Pan , Jiliang Jing

We study the scattering dynamics of an $n$-component spinor wavefunction in a random environment on a two-dimensional lattice. In the presence of particle-hole symmetry we find diffusion on large scales. The latter is described by a…

Disordered Systems and Neural Networks · Physics 2012-07-30 K. Ziegler

We compute the (center-of-mass frame) scattering angle $\chi$ of hyperboliclike encounters of two spinning black holes, at the fourth post-Newtonian approximation level for orbital effects, and at the next-to-next-to-leading order for…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Donato Bini , Thibault Damour

We investigate the physical and observational features of static, spherically symmetric black hole spacetimes surrounded by anisotropic fluid and embedded in a plasma environment. Motivated by recent advances in black hole imaging and…

General Relativity and Quantum Cosmology · Physics 2025-12-15 Jonibek Khasanov , Mirzabek Alloqulov , Pankaj Sheoran , Sanjar Shaymatov , Hemwati Nandan

In this work, we study the scattering of a spinless charged particle constrained to move on a curved surface in the presence of the Aharonov-Bohm potential. We begin with the equations of motion for the surface and transverse dynamics…

We investigate the particle motion around a Schwarzschild black hole immersed in a swirling Bertotti-Robinson-Bonnor-Melvin background. This spacetime provides a physically well-motivated framework for studying how the two different…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Wenbin Li , Yu-Qi Lei , Xian-Hui Ge

A nonrelativistic quantum mechanical particle moving freely on a curved surface feels the effect of the nontrivial geometry of the surface through the kinetic part of the Hamiltonian, which is proportional to the Laplace-Beltrami operator,…

Quantum Physics · Physics 2018-10-09 Neslihan Oflaz , Ali Mostafazadeh , Mehrdad Ahmady

In this paper we show that there is a breakdown of scattering between the event horizon (or the Cauchy horizon) and an intermediate Cauchy hypersurface in the dynamic interior of a Reissner-Nordstr\"om-like black hole. More precisely, we…

General Relativity and Quantum Cosmology · Physics 2022-04-14 Mokdad Mokdad , Rajai Nasser

We present a model for high energy two body scattering in a quantum theory of gravity. The model is applicable for center of mass energies higher than the relevant Planck scale. At impact parameters smaller than the Schwarzchild radius…

High Energy Physics - Theory · Physics 2007-05-23 Tom Banks , Willy Fischler

The Teukolsky equation describing scattering from Kerr black holes captures a few important effects in the process of binary mergers, such as tidal deformations and the decay of ringdown modes, thereby raising interest in the structure of…

High Energy Physics - Theory · Physics 2024-11-18 Uri Kol

We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes…

High Energy Physics - Theory · Physics 2021-07-21 Panos Betzios , Nava Gaddam , Olga Papadoulaki
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