On expansions for nonlinear systems Error estimates and convergence issues by Beauchard, Karine, Le Borgne, Jérémy, Marbach, Frédéric

“…In particular, intrinsic formulas allowing to decouple time-dependent features from geometry-dependent features of the solution have been extensively studied.First, we give a didactic review of classical expansions for formal linear differential equations, including the celebrated Magnus expansion (associated with coordinates of the first kind) and Sussmann’s infinite product expansion (associated with coordinates of the second kind). Inspired by quantum mechanics, we introduce a new mixed expansion, designed to isolate the role of a time-invariant drift from the role of a time-varying perturbation.Second, in the context of nonlinear ordinary differential equations driven by regular vector fields, we give rigorous proofs of error estimates between the exact solution and finite approximations of the formal expansions. …”
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Calculation and Analysis of the Structure and Viscosity of B2O3-Regulated CaO-Al2O3-Based Mold Fluxes by Lifeng Chen, Kun Liu, Peng Han, Bin Yang, Lianghua Feng

“…The thermodynamic properties were studied based on the first principles of quantum mechanics. The results show that the formation of stable structures of B-O and O-B-O in the mold fluxes was beneficial to reduce the probability of structural interconnection, degree of polymerization, and viscosity of the molten slag. …”
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QuantumNet: An enhanced diabetic retinopathy detection model using classical deep learning-quantum transfer learning by Manish Bali, Ved Prakash Mishra, Anuradha Yenkikar, Diptee Chikmurge

“…Quantum computing, leveraging quantum mechanics, offers revolutionary potential for faster problem-solving across fields like cryptography, optimization, and medicine. …”
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Cooperative Association as a Tool for Rural Development and Poverty Reduction in Rwanda: A Study of Abahuzamugambi ba Kawa in Maraba Sector by Adebayo, Sanni T., Onuoha Helen Chinedum, Christopher S.P. Dabo, Pascal Harelimana

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Human development I: Twenty Fundamental Problems of Biology, Medicine, and Neuro-Psychology Related to Biological Information by Tyge Dahl Hermansen, Søren Ventegodt, Erik Rald, Birgitte Clausen, Maj Lyck Nielsen, Joav Merrick

“…We think biological organization is guided by energetic changes on the level of quantum mechanics, interacting with the intention that again guides the energetic conformation of the fractal structures to gain disorders or healthiness. …”
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Can Effects of a Generalized Uncertainty Principle Appear in Compact Stars? by João Gabriel Galli Gimenez, Dimiter Hadjimichef, Peter Otto Hess, Marcelo Netz-Marzola, César A. Zen Vasconcellos

“…On basis of a deformed Poisson canonical algebra with a parametrized minimum length scale that induces deviations from conventional Quantum Mechanics, fundamental questions involving the consistence, evidences and proofs of this approach as a possible cure for unbounded energy divergence are outlined. …”
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Exploring novel solitary wave phenomena in Klein–Gordon equation using $$\phi ^{6}$$ ϕ 6 model expansion method by Yasir A. Madani, Khidir Shaib Mohamed, Sadia Yasin, Sehrish Ramzan, Khaled Aldwoah, Mohammed Hassan

“…In theoretical physics, particularly in field theory and quantum mechanics, the Klein–Gordon equation is a classical model. …”
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Magnetocaloric Effect for a <i>Q</i>-Clock-Type System by Michel Aguilera, Sergio Pino-Alarcón, Francisco J. Peña, Eugenio E. Vogel, Natalia Cortés, Patricio Vargas

“…Given the broader relevance of the <i>Q</i>-state clock model in areas such as percolation theory, neural networks, and biological systems, where multi-state interactions are essential, our study provides a robust framework in applied quantum mechanics, statistical physics, and related fields.…”
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KG-oscillators in Eddington-inspired Born-Infeld gravity: Wu-Yang magnetic monopole and Ricci scalar curvature effects by Omar Mustafa

“…The use of such conditions/correlations is mandatory and yields a set of allowed/restricted quantum mechanical orbital ℓ-excitations, for all radial quantum numbers nr≥0. …”
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Excitation Spectrum of the Néel Ensemble of Antiferromagnetic Nanoparticles as Revealed in Mössbauer Spectroscopy by Mikhail A. Chuev

“…Nontrivial shape of the excitation spectrum as a function of the value of uncompensated magnetic moment corresponds completely to the quantum-mechanical calculations earlier performed. This approach allows one to describe also Mössbauer absorption spectra of slowly relaxing antiferromagnetic and ferrimagnetic nanoparticles and, in particular, to give a phenomenological interpretation of macroscopic quantum effects observed earlier in experimental absorption spectra and described within the quantum-mechanical representation.…”
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Sensitivity of photovoltaic cells efficiency to initial conditions in various aggregation designs by Baharak Mohamad Jafari Navadel, Esfandyar Faizi, Baharam Ahansaz, Jaber Jahanbin Sardroodi

“…It is thought that nature already exploits quantum mechanical properties to increase the efficiency of solar energy harvesting devices. …”
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Machine learning photodynamics decode multiple singlet fission channels in pentacene crystal by Zhendong Li, Federico J. Hernández, Christian Salguero, Steven A. Lopez, Rachel Crespo-Otero, Jingbai Li

“…The singlet fission mechanism in pentacene crystals is disputed due to insufficient electronic information in time-resolved experiments and intractable quantum mechanical calculations for simulating realistic crystal dynamics. …”
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AN OVERVIEW OF NANOELECTRONICS AND NANODEVICES by OYUBU AKPOVI OYUBU, OKPEKI UFUOMA KAZEEM

“…Thus, transistor devices which are so small such that inter-atomic cooperation and quantum mechanical characteristics cannot be ignored are known as Nanoelectronics. …”
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Reducing the sign problem with line integrals by Rasmus N. Larsen

“…As an example of its usage, we apply the results to a 1d quantum mechanical anharmonic oscillator with a x 4 potential in real time, finite temperature.…”
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Non-Hermitian Dirac Hamiltonian in Three-Dimensional Gravity and Pseudosupersymmetry by Özlem Yeşiltaş

“…Furthermore, pseudosupersymmetric quantum mechanical techniques are expanded to a curved Dirac Hamiltonian and a partner curved Dirac Hamiltonian is generated. …”
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Modern Interpretation of Periodic Phenomenon by G. N. Fadeev, Yu. A. Lebedev, N. N. Dvulichanskaya

“…The generalization of theoretical and experimental studies of the quantum-mechanical aspects of the chemical properties of matter, the first results of the study of antimatter made it possible to set a hypothesis of the existence of a new fundamental characteristic of chemical element and to formulate the Periodic Law adequately – in keeping with modern concepts.…”
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Investigating vertical charge plasma tunnel field effect transistors beyond semiclassical assumptions by Iman Chahardah Cherik, Saeed Mohammadi, Paul K. Hurley, Lida Ansari, Farzan Gity

“…Additionally, we assessed the influence of defects at the heterojunction on the performance of our device. Under quantum mechanical assumptions, parameters such as I ON = 23.8 µA/µm, SS AVG = 12.03 mV/dec, and the I ON/I OFF ratio = 4.88 × 1010 indicate that our structure is a promising candidate for high-performance applications.…”
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Simulations of γ-Valerolactone Solvents and Electrolytes for Lithium Batteries Using Polarizable Molecular Dynamics by Adriano Pierini, Valentina Migliorati, Juan Luis Gómez-Urbano, Andrea Balducci, Sergio Brutti, Enrico Bodo

“…The forcefield was validated with experimental bulk data and quantum mechanical calculations, with excellent agreement obtained in both cases. …”
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Color Dependence on Thickness in Topaz Crystal from Brazil by Waldemar Bonventi Jr, Sadao Isotani, Antonio Roberto Pereira Albuquerque

“…The decomposition revealed several lines, whose assignment was made considering studies in spodumene and beryl crystals and highly accurate quantum mechanical calculations. The transmittance becomes very narrow with increasing thickness, and the CIE chromaticity coordinates converge to the borderline of the CIE Chromaticity Diagram at the wavelength of maximum transmittance. …”
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Thermal pseudo-entropy by Pawel Caputa, Bowen Chen, Tadashi Takayanagi, Takashi Tsuda

“…We have studied its properties in various quantum mechanical setups, Schwarzian theory, Random Matrix Theories, and 2D CFTs, including symmetric orbifolds. …”
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