FinTech: a literature review of emerging financial technologies and applications by Gang Kou, Yang Lu

“…This investigation focuses on five attractive emerging technologies tied to the finance, namely artificial intelligence (AI), machine learning, blockchain, augmented reality (AR)/virtual reality (VR), and quantum mechanics. Within the financial milieu, there is an ongoing pursuit for more precise, optimized, secure, and agile solutions capable of managing multifarious financial undertakings. …”
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Quantum Probes of Timelike Naked Singularities in 2+1-Dimensional Power-Law Spacetimes by O. Gurtug, M. Halilsoy, S. Habib Mazharimousavi

“…The formation of naked singularities in 2+1-dimensional power-law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field, respectively, are considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon and Dirac equations are used to probe the classical timelike naked singularities developed at r=0. …”
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Spin-1/2 Particles in Phase Space: Casimir Effect and Stefan-Boltzmann Law at Finite Temperature by R. G. G. Amorim, S. C. Ulhoa, J. S. da Cruz Filho, A. F. Santos, F. C. Khanna

“…A comparative analysis with these results in standard quantum mechanics space is realized.…”
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Decoherence-enabled unconditional strongly sub-Poissonian squeezing by Qing Xu, Ke Zhang, Xiaobo Shen, Haijun Yu, Jiabing Zhu

“…It is generally accepted that the role of quantum decoherence is to spoil the quantum superpositions and to yield the emergence of the classical behaviors from quantum mechanics. Contrary to the common knowledge of decoherence, we propose a scheme to generate a steady-state bright source of strongly sub-Poissonian squeezed light using the environmentally induced decoherence. …”
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Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances by Sara Cruz y Cruz, Oscar Rosas-Ortiz

“…A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. …”
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Emergence of opposing arrows of time in open quantum systems by Thomas Guff, Chintalpati Umashankar Shastry, Andrea Rocco

“…Our results may reflect on the formulations of the arrow of time in thermodynamics, cosmology, and quantum mechanics.…”
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Astrotheology: The natural interface between hyperspace and the Trinity by A.C. Pieterse

“… Over the past few decades, physicists are seeking a unifying theory that could encapsulate the theories of general relativity and quantum mechanics, our understanding of the very big and the infinitesimal small, into one all-inclusive theory. …”
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Algorithms for Non-Relativistic Quantum Integral Equation by Jorge Henrique de Oliveira Sales, Pedro Henrique Sales Girotto

“… In low energy scattering in Non-Relativistic Quantum Mechanics, the Schödinger equation in integral form is used. …”
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On Semianalytical Study of Fractional-Order Kawahara Partial Differential Equation with the Homotopy Perturbation Method by Muhammad Sinan, Kamal Shah, Zareen A. Khan, Qasem Al-Mdallal, Fathalla Rihan

“…We may apply our method to an additional complicated problem, particularly on the applied side, such as astrophysics, plasma physics, and quantum mechanics, to perform complex theoretical computation. …”
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In Silico Study of Ceftaroline’s Molecular Properties by Elso Manuel Cruz Cruz, Eslhey Sánchez Domínguez

“…<strong> <br />Method:</strong> a theoretical study using quantum mechanics methods was conducted in order to model the structure and electronic properties of the ceftaroline. …”
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The Cigar-Shaped Background Metric with Supersymmetry Approaches and Thermal Properties of System by Omid Jalili, Shahin Toni, Jafar Sadeghi

“…Also, this first order equations lead us to use super symmetry(SUSY) approach and obtain the energy spectrum. SUSY quantum mechanics can be used to solve ordinary differential equation. …”
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Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes by Kang Wang, Yu-Fei Zhang, Qing Wang, Zheng-Wen Long, Jian Jing

“…It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.…”
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Color Confinement and Spatial Dimensions in the Complex-Sedenion Space by Zi-Hua Weng

“…The application of complex-sedenions is capable of depicting not only the field equations of classical mechanics, but also the field equations of quantum mechanics. The latter can be degenerated into the Dirac equation and Yang-Mills equation. …”
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Interesting Examples of Violation of the Classical Equivalence Principle but Not of the Weak One by Antonio Accioly, Wallace Herdy

“…The equivalence principle (EP) and Schiff’s conjecture are discussed en passant, and the connection between the EP and quantum mechanics is then briefly analyzed. Two semiclassical violations of the classical equivalence principle (CEP) but not of the weak one (WEP), i.e., Greenberger gravitational Bohr atom and the tree-level scattering of different quantum particles by an external weak higher-order gravitational field, are thoroughly investigated afterwards. …”
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A novel approach to $ \mathit{q} $-fractional partial differential equations: Unraveling solutions through semi-analytical methods by Khalid K. Ali, Mohamed S. Mohamed, M. Maneea

“…These equations are significant in $ \mathit{q} $-calculus, which has gained attention due to its relevance in engineering applications, particularly in quantum mechanics. In this study, we solve linear and nonlinear $ \mathit{q} $-FPDEs and obtain the closed-form solutions, which confirm the validity of the utilized methods. …”
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From Boole to Leggett-Garg: Epistemology of Bell-Type Inequalities by Karl Hess, Hans De Raedt, Kristel Michielsen

“…In 1985 Leggett and Garg derived a physics related inequality, mathematically identical to Boole’s, that according to them represents a demarcation between macroscopic realism and quantum mechanics. We show that a wide gulf separates the “sense impressions” and corresponding data, as well as the postulates of macroscopic realism, from the mathematical abstractions that are used to derive the inequality of Leggett and Garg. …”
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Shape Invariance of Solvable Schrödinger Equations with the Generalized Hyperbolic Pöschl-Teller Potential by Min Li, Shi-Kun Zhong, Li Dong, Lu-Lin Xiong, Guang Luo

“…First, we introduce briefly the shape invariance and the potential algebra in supersymmetric quantum mechanics. Second, we derive three additive shape invariances, which are related to parameters A and B of the partner potentials with the generalized superpotential, and discuss the eigenfunctions and eigenvalues in detail. …”
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Constraints on Gravitation from Causality and Quantum Consistency by Mark P. Hertzberg

“…We examine the role of consistency with causality and quantum mechanics in determining the properties of gravitation. …”
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An analytical investigation of nonlinear time-fractional Schrödinger and coupled Schrödinger–KdV equations by Yogeshwari F. Patel, Mohammad Izadi

“…This study applies the Fractional Reduced Differential Transform Method (FRDTM) to solve two nonlinear fractional equations: the time-fractional Schrödinger equation (TFSE) and the coupled Schrödinger–KdV (Sch–KdV) equation, which are prominent in quantum mechanics, plasma physics, and wave propagation studies. …”
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Kelsen H. Causality and Retribution / trans. from Engl. А. B. Didikin by А. B. Didikin

“…On the basis of historical and philosophical reconstruction of the philosophical ideas of Heraclitus and Democritus Kelsen traces the evolution of the principle of causality to the present day, including the emergence of new theories in the field of quantum mechanics and mathematics…”
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