Teaching ideal quantum measurement, from dynamics to interpretation by Allahverdyan, Armen E., Balian, Roger, Nieuwenhuizen, Theo M.

“…This is compatible with the principles of quantum mechanics. Born’s rule then arises from the conservation law for the tested observable; it expresses the frequency of occurrence of the final indications Ai of M in terms of the initial state of S. …”
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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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Expectation values and Fisher information theoretic measures of heavy flavoured mesons by Ekwevugbe Omugbe, ETIDO INYANG, Arezu Jahanshir, Clement A. Onate, Cecilia N. Isonguyo, Edwin S. Eyube, Uduakobong S. Okorie, Ridha Horchani, Akpan N. Ikot

“… The expectation values play important role in atomic physics and quantum mechanics. They are vital to obtaining the quantum information theoretic measures, Compton profile, electronic kinetic energy, Langevin-Pauli diamagnetic susceptibility, Dirac exchange energy and so on. …”
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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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Effect of magnetized water on the fundamental grouting properties of cement grout under varying magnetization conditions by Chao Deng, Liuxi Li, Huanxiao Hu, Zhichao Xu, Yi Zhou, Quan Yin, Juan Chen

“…Additionally, magnetized water notably enhances the flexural and compressive strength of the cement grout stone body, with a particularly significant improvement in early strength. From a quantum mechanics perspective, a magnetization mechanism based on the competition between the strengthening of hydrogen bonds between water molecule clusters and the weakening or breaking of hydrogen bonds within clusters is introduced, providing a theoretical basis for explaining the variability observed in water magnetization experiments.…”
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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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New parameterized quantum gates design and efficient gradient solving based on variational quantum classification algorithm by Xiaodong Ding, FuDong Liu, Weilong Wang, Yu Zhu, Yifan Hou, Yizhen Huang, Jinchen Xu, Zheng Shan

“…In order to overcome this challenge, this paper innovatively integrates the principle of unitary operation in quantum mechanics with the technical characteristics of superconducting quantum chips and elaborately designs some new parameterized quantum gates (PQGs). …”
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Towards a better understanding of biofoams: Multi-technique characterization of various tannin-furanic foams to assist in material selection for product design by Thomas Sepperer, Giulia Saccomano, Diana E. Bedolla, Raphael J.F. Berger, Primoz Šket, Elena Longo, Gregor A. Zickler, Saeed Borhani, Diego Dreossi, Lisa Vaccari, Maurizio E. Musso, Francesco D’Amico

“…The chemical characterization was performed by using NMR, FTIR and UV Raman, assisted by DFT quantum mechanics simulations. The morphological characterization was done by Scanning Electron Microscopy and X-ray micro-Tomography. …”
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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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Antimicrobial Properties of Monomeric and Dimeric Catanionic Surfactant System by Iwona Kowalczyk, Anna Koziróg, Adrianna Szulc, Anna Komasa, Bogumił Brycki

“…In addition, computer quantum mechanical studies were also carried out to confirm the relationship between the structure of the mixture and the activity. …”
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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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Mathematical Fundamentals of Modern Linear Optics by Andrey V. Gitin

“…All known quantum-mechanical approaches to wave and statistical optics are united into a single theory, using Feynman's path integral as a fundamental principle. …”
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Quantum curve in q-oscillator model by S. Sergeev

“…Sergeev in 2005 is the quantum-mechanical integrable model in 2+1 dimensional space-time. …”
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