Results 71 to 80 of about 7,066 (206)

Relativistic scalar fields canonical quantization in Einstein–Yang–Mills–Higgs’s rotating black hole space-time

European Physical Journal C: Particles and Fields
The quantum theory of relativistic mechanics to deal with the scalar fields behavior in a curved space-time is represented by the Klein–Gordon equation.
David Senjaya
doaj   +1 more source

Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions

, 2016
Starting from equations obeyed by functions involving the first or the second derivatives of the biconfluent Heun function, we construct two expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta functions.
Gevorgyan, M. R., Ishkhanyan, A. M., Ishkhanyan, T. A., Leroy, C., Pashayan-Leroy, Y.   +4 more
core   +2 more sources

Novel Structures of Gallenene Intercalated in Epitaxial Graphene

Small, Volume 21, Issue 38, September 25, 2025.
This paper explores the creation of 2D gallium by intercalation beneath epitaxial graphene (Gr) on silicon carbide, achieved through confinement epitaxy. The observation of novel superstructures, including a hexagonal Gr‐12 × 12 moiré and a striped Gr‐5 × 1 pattern is reported.
Emanuele Pompei, Katarzyna Skibińska, Giulio Senesi, Ylea Vlamidis, Antonio Rossi, Stiven Forti, Camilla Coletti, Fabio Beltram, Silvia Rubini, Lucia Sorba, Stefan Heun, Stefano Veronesi   +11 more
wiley   +1 more source

The burden of cognitive impairment

Alzheimer's &Dementia, Volume 21, Issue 8, August 2025.
Abstract INTRODUCTION Over 10% of older American adults (age ≥ 65) experience cognitive impairment (CI) from Alzheimer's disease and related dementias (ADRD). An additional 15%–22% experience mild cognitive impairment (MCI), often preceding ADRD and in earlier life.
Tadeja Gracner, Ritika Chaturvedi, PhuongGiang Nguyen, Hanke Heun‐Johnson, Bryan Tysinger, Dana Goldman, Darius Lakdawalla   +6 more
wiley   +1 more source

Exact phonon quasibound states around an optical black hole

European Physical Journal C: Particles and Fields
In this work, we present an exact solution of phonon quasibound states in a vortex photon flow that creates an analogous black hole background. We worked out and successfully solve the governing differential equation of the systen that is similar with ...
David Senjaya
doaj   +1 more source

Quantum particle motion on the surface of a helicoid in the presence of an harmonic oscillator

Physics Open, 2020
The geometric potential in quantum mechanics has been attracted attention recently, providing a formalism to investigate the influence of curvature in the context of low-dimensional systems.
Marcos C.R. Ribeiro, Jr., Márcio M. Cunha, Cleverson Filgueiras, Edilberto O. Silva   +3 more
doaj   +1 more source

Non‐Hydrostatic Model for Simulating Moving Bottom‐Generated Waves: A Shallow Water Extension With Quadratic Vertical Pressure Profile

International Journal for Numerical Methods in Fluids, Volume 97, Issue 8, Page 1093-1103, August 2025.
In this article, we derive a non‐hydrostatic extension to the SWE to solve bottom‐generated waves along with its pressure relation. This relation is built on a linear vertical velocity assumption, leading us to a quadratic pressure profile, where we alternatively write it so that we can solve it by a projection method without ambiguity due to the ...
Kemal Firdaus, Jörn Behrens
wiley   +1 more source

A non-trivial special case of the biconfluent Heun equation [0,1,1_3]: orthogonality of its solutions

Le Matematiche, 1996
A special case of the biconfluent Heun equation which is not reducible to a form of a hypergeometric equation is solved by means of a Laplace transform. The solutions are double series which exhibit a type of orthogonality comparable in some respects to ...
Harold Exton
doaj  

Quasinormal modes of three $$(2+1)$$ ( 2 + 1 ) -dimensional black holes in string theory, conformal gravity, and Hu–Sawicki F(R) theory via the Heun function

European Physical Journal C: Particles and Fields
We study the propagation of massless fermionic fields, implementing a family of special functions: Heun functions, in solving the wave equation in three three-dimensional backgrounds, including the BTZ black hole in string theory and Lifshitz black hole ...
F. Naderi, A. Rezaei-Aghdam
doaj   +1 more source

Heun equation, Teukolsky equation, and type-D metrics

, 2007
Starting with the whole class of type-D vacuum backgrounds with cosmological constant we show that the separated Teukolsky equation for zero rest-mass fields with spin $s=\pm 2$ (gravitational waves), $s=\pm 1$ (electromagnetic waves) and $s=\pm 1/2 ...
Carter B., D. Batic, H. Schmid, Levi-Civita T., Robinson I., Ronveaux A.   +5 more
core   +1 more source