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Nonequilibrium Characteristics of Heat Transfer of Copper in a Wide Temperature Range
AbstractThe characteristics of nonequilibrium heat transfer of copper, such as thermal conductivity and heat capacity, are obtained in a wide...
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Improving the Accuracy of Exponentially Converging Quadratures
AbstractEvaluation of one-dimensional integrals arises in many problems in physics and technology. This is most often done using simple quadratures...
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Computing the Fermi−Dirac Functions by Exponentially Convergent Quadratures
Highly accurate specialized quadrature formulas are constructed for directly computing the Fermi−Dirac functions of the half-integer index. It is...
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Electron Transport in Graphene Nanoribbons
Lately, graphene has attracted the attention of several scientists because of its interesting properties. In particular, charge transport in graphene...
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Efficient and Accurate Spectral Method for Solving Fractional Differential Equations on the Half Line Using Orthogonal Generalized Rational Jacobi Functions
A new set of generalized Jacobi rational functions of the first and second kinds, GJRFs-1 and GJRFs-2, which are mutually orthogonal in
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Contact Interactions and Gamma Convergence
We study contact interactions, a generalization of Albeverio’s point interactions. There are two types of contact interactions, weak and strong; the...
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Accurate Approximations of Density Functional Theory for Large Systems with Applications to Defects in Crystalline Solids
This chapter presents controlled approximations of Kohn–Sham density functional theory (DFT) that enable very large scale simulations. The work is...
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Sixty Years of Hadronic Vacuum Polarization
After a short historic introduction I describe the present comparison between theory and experiment concerning the hadronic vacuum polarization (HVP)...
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Recent Progress in Evaluating the Kohn–Sham Map
In the framework of self-consistent field iteration for solving Kohn–Sham density functional theory (DFT), the evaluation of the Kohn–Sham map is...
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Alex Grossmann, a Rinascimento Multidisciplinary Man
This is a very short and incomplete overview of Alex Grossmanns work in theoretical and mathematical physics (in particular quantum mechanics),...
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Probability Theory
In probability theory, events are subsets of an underlying set...
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Mathematical aspects of the Kubo formula for electrical conductivity with dissipation
In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic...
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Drift-diffusion models for the simulation of a graphene field effect transistor
A field effect transistor having the active area made of monolayer graphene is simulated by a drift-diffusion model coupled with the Poisson...
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Analytical approximation of the Fermi-Dirac integrals of half-integer and integer orders
We have obtained continuous analytical expressions approximating the Fermi-Dirac (F-D) integrals of orders j = −1/2, 1/2, 1, 3/2, 2, 5/2, 3, and 7/2...
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On Mathematical Aspects of the Theory of Topological Insulators
This review is devoted to one of the most interesting and actively develo** fields in condensed matter physics—theory of topological insulators....
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Feynman checkers: lattice quantum field theory with real time
We present a new completely elementary model that describes the creation, annihilation, and motion of non-interacting electrons and positrons along a...
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An interpretation of quantum foundations based on density functional theory and polymer self-consistent field theory
The Feynman quantum-classical isomorphism between classical statistical mechanics in 3+1 dimensions and quantum statistical mechanics in 3 dimensions...
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Indefinite causal order with fixed temporal order for electrons and positrons
We provide an analysis of indefinite causal orders in relativistic quantum mechanics based on the electron–positron picture of Feynman involving...
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Numerical Methods for Kohn–Sham Models: Discretization, Algorithms, and Error Analysis
This chapter aims at presenting the main algorithms used to solve the Kohn–Sham models, as well as the current state-of-the-art of the numerical...
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Quadrature formulas with exponential convergence and calculation of the Fermi–Dirac integrals
A class of functions for which the trapezoidal rule has superpower convergence is described: these are infinitely differentiable functions all of...