26 papers · ranked by Valyu relevance
David Andriot, Fabian Ruehle
Finding string backgrounds with de Sitter spacetime, where all approximations and corrections are controlled, is an open problem. We revisit the search for de Sitter solutions in the classical regime for specific type IIB supergravity compactifications on group manifolds, an under-explored corner of the landscape that…
Evgenii S. Baranovskii, Alexandre M. Afonso, Luís L. Ferrás, Célio Pinto Fernandes
'Célio Pinto Fernandes'] This paper deals with an initial-boundary value problem modeling the unidirectional pressure-driven flow of a second grade fluid in a plane channel with impermeable solid walls. On the channel walls, Navier-type slip boundary conditions are stated. Our aim is to investigate the well-posedness…
A. S. Avanesov, V. I. Man’ko
The problem of classical particle in linear potential is studied by using the formalism of Hilbert space and tomographic probability distribution. The Liouville equation for this problem is solved by finding the density matrix satisfying von Newmann-like equation in the form of product of wave functions. The relation…
Алессандро Торриелли
- 1. Introduction and motivation, with historical remarks; - 2. Liouville theorem and action-angle variables, with examples (harmonic oscillator, Kepler problem); - 3. Algebraic tools: Lax pairs, monodromy and transfer matrices, classical r-matrices and exchange relations, non-ultralocal Poisson brackets, with examples…
Viqar Husain, Muhammad Muzammil
We study the classical-quantum (CQ) hybrid dynamics of homogeneous cosmology from a Hamiltonian perspective where the classical gravitational phase space variables and matter state evolve self-consistently with full backreaction. We compare numerically the classical and CQ dynamics for isotropic and anisotropic models…
A. D. Bermúdez Manjarres
We explore the relation of Van Vleck-Primas perturbation theory of quantum mechanics with the Lie-series based perturbation theory of Hamiltonian systems in classical mechanics. In contrast to previous works on the relation of quantum and classical perturbation theories, our approach is not based on the conceptual…
Moncy V. John
We find a Friedmann model with appropriate matter/energy density such that the solution of the Wheeler-DeWitt equation exactly corresponds to the classical evolution. The well-known problems in quantum cosmology disappear in the resulting coasting evolution. The exact quantum-classical correspondence is demonstrated…
Authors not listed
A method has been introduced to derive the solution of the time-independent Schrodinger equation for the simple harmonic oscillator. A trial solution has been chosen as the product of the divergent part of the approximate asymptomatic solution of the Schrodinger equation and an unknown function. By inserting this trial…
Mrityunjoy Kar, Furqan Dar, Timothy J. Welsh, Laura Vogel + 9 more
Macromolecular phase separation is thought to be one of the processes that drive the formation of membraneless biomolecular condensates in cells. The dynamics of phase separation, especially at low endogenous concentrations found in cells, are thought to follow the tenets of classical nucleation theory describing a…
Akhtar Hussain, Tarek F. Ibrahim, F. M. Osman Birkea, Abeer M. Alotaibi + 2 more
'Abeer M. Alotaibi' 'Bushra R. Al-Sinan' 'Herbert Mukalazi'] Despite the historical position of the F-expansion method as a method for acquiring exact solutions to nonlinear partial differential equations (PDEs), this study highlights its superiority over alternative auxiliary equation methods. The efficacy of this…
Annalisa Iuorio, Frits Veerman
Plant autotoxicity has proved to play an essential role in the behaviour of local vegetation. We analyse a reaction-diffusion-ODE model describing the interactions between vegetation, water, and autotoxicity. The presence of autotoxicity is seen to induce movement and deformation of spot patterns in some parameter…
Saha, Kauship, Aashish, Sandeep
We present the first-principles quantization of a damped scalar field within the framework of classical action principle of non-conservative systems using doubled dynamical variables. We consider a non-conservative potential term constructed to describe a linear damping of the scalar field for quantization using…
Mati ur Rahman, Sonia Akram, Muhammad Asif
This paper presents a complete nonclassical symmetry analysis of the nonlinear integrable model known as the (4 + 1)-dimensional Boiti-Leon-Manna-Pempinelli (4D-BLMP) equation. The analysis is divided into two parts. The first part involves constructing systems of nonlinear partial differential equations for the…
David Thompson, Johan Gielis
Our understanding of quantum phenomena often begins with simple particle-in-a-box style problems, the solutions of which introduce the student to foundational quantum concepts such as degeneracy and quantization. Simple model geometries of confinement afford analytic solutions, which are readily derivable, easily…
Jalil Manafian, Elnaz Alimirzaluo, Mehdi Nadjafikhah
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(3+1)$\end{document} ( 3 + 1 ) -dimensional Jimbo–Miwa equation Authors: ['Jalil Manafian' 'Elnaz Alimirzaluo' 'Mehdi…
V. L. Kalmykov, L. V. Kalmykov
Mathematical black box models, which hide the structure and behavior of the subsystems, currently dominate science. Errors and paradoxes, such as the biodiversity paradox and the limiting similarity hypothesis, often arise from subjective interpretations of these hidden mechanisms. To address these problems, we have…
Denys I. Bondar, François Gay-Balmaz, Cesare Tronci
Upon revisiting the Hamiltonian structure of classical wavefunctions in Koopman-von Neumann theory, this paper addresses the long-standing problem of formulating a dynamical theory of classical-quantum coupling. The proposed model not only describes the influence of a classical system onto a quantum one, but also the…
Tahir Shahzad, Muhammad Ozair Ahmed, Muhammad Zafarullah Baber, Nauman Ahmed + 2 more
'Nauman Ahmed' 'Ali Akgül' 'Sayed M. El Din'] In this study, the Sobolev-type equation is considered analytically to investigate the solitary wave solutions. The Sobolev-type equations are found in a broad range of fields, such as ecology, fluid dynamics, soil mechanics, and thermodynamics. There are two novel…
Sergio A. Hojman
Symmetries of the field equations are used to construct infinitely many non–trivial linearly independent new solutions to different partial differential equations such as the Schr¨odinger, the diffusion, and the paraxial equations, among many others, including Klein–Gordon, Dirac, Maxwell, Rarita–Schwinger and linear…
Ashar J. Malik, David B. Ascher
Accurately modelling the potential energy landscapes that govern molecular interactions is a central challenge in computational biophysics. While quantum computers promise to solve such problems with high fidelity, a key bottleneck is the encoding of complex spatial information into low-qubit Hamiltonians suitable for…
Yiwen Wang, Zehua Chen, Yang Yang
The modeling and interpretation of vibrational spectra are crucial for studying reaction dynamics using vibrational spectroscopy. Previous theoretical developments have mainly focused on fundamental vibrational transitions. In this study, we present a new method that uses excited state constrained minimized energy…
Justin Eilertsen, Wylie Stroberg, Santiago Schnell
A theoretical analysis is performed on the nonlinear ordinary differential equations that govern the dynamics of a coupled enzyme catalyzed reaction. The assay consists of a non-observable reaction and an indicator (observable) reaction, where the product of the first reaction is the enzyme for the second. Both…
Ashar J. Malik, Chandra S. Verma
Quantum computers have demonstrated advantage in tackling problems considered hard for classical computers and hold promise for tackling complex problems in molecular mechanics such as mapping the conformational landscapes of biomolecules. This work attempts to explore a few ways in which classical data, relating to…
Khadija Shakeel, Dumitru Baleanu, Muhammad Abbas, Majeed Ahmad Yousif + 3 more
This study introduces new exact soliton solutions of the time-fractional Joseph-Egri equation by employing the Tanh-Coth and Jacobi Elliptic Function methods. Using Jumarie’s modified Riemann-Liouville derivative, a wide variety of soliton structures-such as periodic, bell-shaped, W-shaped, kink, and anti-bell-shaped…
MARCO TODISCO
Determining the distribution of multiple chemical species at equilibrium for a given system is a common problem that must be routinely addressed by scholars. While simple systems consisting of a few species and reactions can be solved manually, most of these problems require the definition and solution of higher-order…
Kathakali Sarkar, Deepro Bonnerjee, Sangram Bagh
Maze generating and solving are challenging problems in mathematics and computing. Here we generated simple 2X2 maze problems applying four chemicals and created a set of engineered bacteria, which in a mixed population worked as a computational solver for any such problem. The input-output matrices of a mathematical…