Koopmans' Analysis of Chemical Hardness with Spectral-Like Resolution by Mihai V. Putz

“…Three approximation levels of Koopmans' theorem are explored and applied: the first referring to the inner quantum behavior of the orbitalic energies that depart from the genuine ones in Fock space when the wave-functions' Hilbert-Banach basis set is specified to solve the many-electronic spectra of spin-orbitals' eigenstates; it is the most subtle issue regarding Koopmans' theorem as it brings many critics and refutation in the last decades, yet it is shown here as an irrefutable “observational” effect through computation, specific to any in silico spectra of an eigenproblem; the second level assumes the “frozen spin-orbitals” approximation during the extracting or adding of electrons to the frontier of the chemical system through the ionization and affinity processes, respectively; this approximation is nevertheless workable for great deal of chemical compounds, especially organic systems, and is justified for chemical reactivity and aromaticity hierarchies in an homologue series; the third and the most severe approximation regards the extension of the second one to superior orders of ionization and affinities, here studied at the level of chemical hardness compact-finite expressions up to spectral-like resolution for a paradigmatic set of aromatic carbohydrates.…”
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Isolated zeros destroy Fermi surface in holographic models with a lattice by Floris Balm, Alexander Krikun, Aurelio Romero-Bermúdez, Koenraad Schalm, Jan Zaanen

“…Abstract We study the fermionic spectral density in a strongly correlated quantum system described by a gravity dual. In the presence of periodically modulated chemical potential, which models the effect of the ionic lattice, we explore the shapes of the corresponding Fermi surfaces, defined by the location of peaks in the spectral density at the Fermi level. …”
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Some New Transformation Properties of the Nielsen Generalized Polylogarithm by Nina Shang, Qinghua Feng, Huizeng Qin

“…Many of the properties of Nielsen generalized polylogarithm Sn,p(z), for example, the special value and the transformation formulas, play important roles in the computation of higher order radiative corrections in quantum electrodynamics. …”
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Quasinormal modes of regular black holes with sub-Planckian curvature and Minkowskian core by Chen Tang, Yi Ling, Qing-Quan Jiang, Guo-Ping Li

“…Abstract We investigate the perturbation of the scalar field as well as the electromagnetic field over a sort of regular black holes which are characterized by the sub-Planckian curvature and the Minkowskian core. Specifically, we compute the quasinormal modes (QNMs) by employing the pseudo-spectral method. …”
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The edge of random tensor eigenvalues with deviation by Nicolas Delporte, Naoki Sasakura

“…Abstract The largest eigenvalue of random tensors is an important feature of systems involving disorder, equivalent to the ground state energy of glassy systems or to the injective norm of quantum states. For symmetric Gaussian random tensors of order 3 and of size N, in the presence of a Gaussian noise, continuing the work [1], we compute the genuine and signed eigenvalue distributions, using field theoretic methods at large N combined with earlier rigorous results of [2]. …”
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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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Entanglement content of kink excitations by Luca Capizzi, Michele Mazzoni

“…Abstract Quantum one-dimensional systems in their ordered phase admit kinks as elementary excitations above their symmetry-broken vacua. …”
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A Survey of Secure Communications for Satellite Internet Based on Cryptography and Physical Layer Security by Yu Zhang, Shuangrui Zhao, Ji He, Yuanyu Zhang, Yulong Shen, Xiaohong Jiang

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Testing the lepton content of the proton at HERA and EIC by Leandro Da Rold, Anibal D. Medina, Subhojit Roy, Carlos E. M. Wagner

“…Abstract Although protons are baryons with an overall vanishing lepton number, they possess a non-trivial leptonic content arising from quantum fluctuations which can be described by lepton parton distribution functions (PDFs) of the proton. …”
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On Controlled Rectangular Metric Spaces and an Application by Nayab Alamgir, Quanita Kiran, Hassen Aydi, Yaé Ulrich Gaba

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Spin orbit coupling effect on coherent transport properties of graphene nanoscopic rings in external magnetic field by A. Poszwa

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Direct measurement of three different deformations near the ground state in an atomic nucleus by Adrian Montes Plaza, Janne Pakarinen, Philippos Papadakis, Rolf-Dietmar Herzberg, Rauno Julin, Tomás R. Rodríguez, Andrew D. Briscoe, Andrés Illana, Joonas Ojala, Panu Ruotsalainen, Eetu Uusikylä, Betool Alayed, Ahmed Alharbi, Odette Alonso-Sañudo, Kalle Auranen, Ville Bogdanoff, Jamie Chadderton, Arwin Esmaylzadeh, Christoph Fransen, Tuomas Grahn, Paul T. Greenlees, Jan Jolie, Henna Joukainen, Henri Jutila, Casper-David Lakenbrink, Matti Leino, Jussi Louko, Minna Luoma, Adam McCarter, Bondili Sreenivasa Nara Singh, Panu Rahkila, Andrea Raggio, Jorge Romero, Jan Sarén, Maria-Magdalini Satrazani, Marek Stryjczyk, Conor M. Sullivan, Álvaro Tolosa-Delgado, Juha Uusitalo, Franziskus von Spee, Jessica Warbinek, George L. Zimba

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Effect of single particle potential on total cross section of nuclear reaction by Yan Fan, WenJun Guo, ZiHan Xi

“…Using this method, reaction cross-sections for proton-proton,proton-neutron,and neutron-neutron interactions are computed. Subsequently,the same approach is applied to calculate the total cross-section of nuclear reactions between carbon isotopes. …”
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Novel Analysis of Fuzzy Fractional Emden-Fowler Equations within New Iterative Transform Method by M. Mossa Al-Sawalha, Naila Amir, Rasool Shah, Muhammad Yar

“…The graphical and numerical representation demonstrates the symmetry among the upper and lower fuzzy solution representations in their simplest form, which may aid in the comprehension of artificial intelligence, control system models, computer science, image processing, quantum optics, medical science, physics, measure theory, stochastic optimization theory, biology, mathematical finance, and other domains, as well as nonfinancial evaluation.…”
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QSAR Study of the Biologically Active Organosulfurs in Natural Products by Fakhr M. Abu-Awwad

“…The models concluded that biological activity of polysulfides is mainly attributed to quantum-chemical, geometrical and topological descriptors with neither electrostatic contribution nor chief role of sulfur atoms. …”
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Hardness of (Semiuniform) MLWE with Short Distributions Using the Rényi Divergence by Wenjuan Jia, Baocang Wang

“…The module learning with errors (MLWE) problem has attracted considerable attention for its tradeoff between security and efficiency. The quantum/classical worst-case to average-case hardness for the MLWE problem (or more exactly, a family of problems) has been established, but most of the known results require the seed distribution to be the uniform distribution. …”
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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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Wavelet Analysis of Shower Track Distribution in High-Energy Nucleus-Nucleus Collisions by Provash Mali, Soumya Sarkar, Amitabha Mukhopadhyay, Gurmukh Singh

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Highly excited B, B s and B c meson spectroscopy from lattice QCD by Luke Gayer, Sinéad M. Ryan, David J. Wilson, for the Hadron Spectrum collaboration

“…We find good agreement with experimental results where known and discuss prospects for further work in interesting J P quantum numbers.…”
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EGUP corrected thermodynamics of RN-AdS black hole with quintessence matter by Baoyu Tan

“…Furthermore, as a special case of EGUP, we have computed and compared the result obtained from the generalized uncertainty principle (GUP) with those from the extended uncertainty principle (EUP). …”
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