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We study the Hydrogen atom as a quantum mechanical system with a Coulomb like potential, with a semiclassical approach based on an effective description of quantum mechanics. This treatment allows us to describe the quantum state of the…

Quantum Physics · Physics 2012-03-23 Guillermo Chacón-Acosta , Héctor H. Hernández

This paper presents a thermodynamically consistent model for multicomponent electrolyte solutions. The first part of this paper derives the general governing equations for nonequilibrium systems within the theory of nonequilibrium…

Analysis of PDEs · Mathematics 2016-05-25 Matthias Herz , Peter Knabner

We employ a simple and mostly accurate dimensional interpolation formula using dimensional limits $D=1$ and $D=\infty$ to obtain $D=3$ ground-state energy of metallic hydrogen. We also present results describing the phase transitions for…

Strongly Correlated Electrons · Physics 2020-11-19 Kumar J. B. Ghosh , Sabre Kais , Dudley R. Herschbach

Recently, spectroscopic and calorimetric observations of hydrogen plasmas and chemical reactions with them have been interpreted as evidence for the existence of electronic states of the hydrogen atom with a binding energy of more than 13.6…

Quantum Physics · Physics 2009-11-11 Andreas Rathke

We use a simple system, the electron configuration in a Hydrogen-like atom, to demonstrate the importance of using a complete basis set to provide a proper quantum mechanical description. We first start with what might be considered a…

Atomic Physics · Physics 2015-11-17 Lindsay Forestell , Frank Marsiglio

Highly accurate variational calculations, based on a few-parameter, physically adequate trial function, are carried out for the hydrogen molecule \hh in inclined configuration, where the molecular axis forms an angle $\theta$ with respect…

Atomic Physics · Physics 2019-08-06 A. Alijah , J. C. López Vieyra , D. J. Nader , A. V. Turbiner , H. Medel Cobaxin

We introduce an efficient scheme for the molecular dynamics of electronic systems by means of quantum Monte Carlo. The evaluation of the (Born-Oppenheimer) forces acting on the ionic positions is achieved by two main ingredients: i) the…

Strongly Correlated Electrons · Physics 2009-11-13 Claudio Attaccalite , Sandro Sorella

The position and momentum probability densities of a multidimensional quantum system are fully characterized by means of the radial expectation values $\langle r^\alpha \rangle$ and $\left\langle p^\alpha \right\rangle$, respectively. These…

Quantum Physics · Physics 2021-06-18 J. S. Dehesa , D. Puertas-Centeno

We present an accurate equation of state for water based on a simple microscopic Hamiltonian, with only four parameters that are well-constrained by bulk experimental data. With one additional parameter for the range of interaction, this…

Soft Condensed Matter · Physics 2012-07-27 Ravishankar Sundararaman , Kendra Letchworth-Weaver , T. A. Arias

We report a numerical study of the equation of state of crystalline body-centered-cubic (BCC) hydrogen, tackled with a variety of complementary many-body wave function methods. These include continuum stochastic techniques of fixed-node…

Materials Science · Physics 2020-11-25 Sam Azadi , George H. Booth , Thomas D. Kühne

A caloric model, which describes the pressure--density--internal-energy relationship in a broad region of condensed-phase states, is applied for tungsten. As distinct from previously known caloric equations of state for this material, a new…

Materials Science · Physics 2015-11-18 Konstantin V. Khishchenko

We propose a thermodynamically consistent general-purpose model describing diffusion of a solute or a fluid in a solid undergoing possible phase transformations and damage, beside possible visco-inelastic processes. Also heat…

Mathematical Physics · Physics 2015-10-28 Tomas Roubicek , Giuseppe Tomassetti

For the gradual introduction of hydrogen in the energy market, the study of the properties of mixtures of hydrogen with typical components of natural gas (NG) and liquefied petroleum gas (LPG) is of great importance. This work aims to…

The standard solution of the Schroedinger equation for the hydrogen atom is analyzed. Comparing with the recently established internal properties of electrons it is found, that these solutions cannot be seen as physically valid states of…

Quantum Physics · Physics 2009-09-25 W. A. Hofer

Accurately determining ground-state properties of quantum many-body systems remains one of the major challenges of quantum simulation. In this work, we present a protocol for estimating the ground-state energy using only global time…

We conjecture a universal formula for the heat current of a steady state connecting two asymptotic equilibrium systems in d-dimensional conformal field theories. Our proposal is verified by comparing it to exact expressions in 1+1…

High Energy Physics - Theory · Physics 2015-06-17 Han-Chih Chang , Andreas Karch , Amos Yarom

Accurate and predictive computations of the quantum-mechanical behavior of many interacting electrons in realistic atomic environments are critical for the theoretical design of materials with desired properties, and require solving the…

Accurate prediction of electron temperature ($T_{\rm e}$) is critical for non-equilibrium plasma applications ranging from hypersonic flight to plasma-assisted combustion. We recently proposed a thermodynamically consistent model for…

Plasma Physics · Physics 2026-03-13 Bernard Parent , Felipe Martin Rodriguez Fuentes

We leverage the power of neural quantum states to describe the ground state wave function of solid and liquid atomic hydrogen, including both electronic and protonic degrees of freedom. For static protons, the resulting Born-Oppenheimer…

Strongly Correlated Electrons · Physics 2026-04-27 David Linteau , Saverio Moroni , Giuseppe Carleo , Markus Holzmann

The dynamics of the approach to equilibrium of the hydrogen atom is investigated numerically through a Monte Carlo procedure. We show that, before approaching ionization, the hydrogen atom may live in a quasi-equilibrium state,…

Statistical Mechanics · Physics 2007-05-23 N. M. Oliveira-Neto , E. M. F. Curado , F. D. Nobre , M. A. Rego-Monteiro