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A century ago, the foundations of equilibrium statistical mechanics were laid. For a system in equilibrium with a thermal bath, much is understood through the Boltzmann factor, exp{-H[C]/kT}, for the probability of finding the system in any…

统计力学 · 物理学 2009-10-31 R. K. P. Zia , L. B. Shaw , B. Schmittmann , R. J. Astalos

We argue that the results proposed recently for the $\mathrm{a}^3\Sigma_u^+$ electronic state of $^7\mathrm{Li}_2$ do not exhibit any physical utility because the canonical vibrational partition function for an excited electronic state…

化学物理 · 物理学 2021-12-21 Francisco M. Fernández

The magnetic Hartree Fock ground state stability for a two-dimensional interacting electron system with Rashba-type coupling is studied by implementing the standard many body Green's function formalism. The externally applied electrical…

强关联电子 · 物理学 2019-11-18 H. Vivas

First principles calculations of rare earth (RE)-doped LaSi3N5 host lattice are performed to obtain the electronic structure, the band gap (BG), and the character of electronic transitions. Doping with both trivalent and bivalent RE cations…

材料科学 · 物理学 2015-06-23 Ismail A. M. Ibrahim , Zoltan Lences , Pavol Sajgalik , Lubomir Benco , Martijn Marsman

The harmonium model has long been regarded as an exactly solvable laboratory bench for quantum chemistry [Heisenberg, 1926]. For studying correlation energy, only the ground state of the system has received consideration heretofore. This is…

The lowest energy levels of positronium are studied in the non-relativistic approximation within the framework of Relativistic Schr\"odinger Theory (RST). Since it is very difficult to find the exact solutions of the RST field equations…

高能物理 - 理论 · 物理学 2008-07-11 M. Mattes , M. Sorg

We consider the three-dimensional electron gas confined by a strictly two-dimensional homogeneous positive charge density at $z=0$. Within the Hartree-Fock approximation, we study the mode structure in the confined direction in the metallic…

强关联电子 · 物理学 2011-06-16 B. Bernu , F. Delyon , M. Holzmann

We study existence and stability of standing waves for coupled nonlinear Hartree type equations \[ -i\frac{\partial}{\partial t}\psi_j=\Delta \psi_j+\sum_{k=1}^m \left(W\star |\psi_k|^p \right)|\psi_j|^{p-2}\psi_j, \] where…

偏微分方程分析 · 数学 2019-03-05 Santosh Bhattarai

We present cross sections for the formation of positronium chloride (PsCl) in its ground state from the charge exchange between positronium (Ps) and chloride (Cl$^-$) in the range of 10 meV - 100 eV Ps energy. We have used theoretical…

化学物理 · 物理学 2023-10-11 K. Lévêque-Simon , A. Camper , R. Taïeb , J. Caillat , C. Lévêque , E. Giner

It is shown that a superposition of static and rapidly oscillating electric {\it monopole} (source) fields is capable of trapping particles with a permanent electric dipole moment. Thus, the new trapping mechanism differs fundamentally from…

原子物理 · 物理学 2011-02-15 R. Blümel

Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the…

系统与控制 · 电气工程与系统科学 2024-05-20 H. Grebel

The ^1{\Sigma}^+ electronic ground states of MgLi^+ and CaLi^+ molecular ions are investigated for their spectroscopic constants and properties such as the dipole- and quadrupole moments, and static dipole polarizabilities. The quadrupole…

原子物理 · 物理学 2018-08-24 Renu Bala , H. S. Nataraj , Minori Abe , Masatoshi kajita

It is shown that at least one particle is bound in the $N$-particle semi-relativistic Pauli-Fierz model with negative potential $V(\bx)$. It is assumed that the particles have no spin and obey the Bose or Boltzmann statistics, and the one…

数学物理 · 物理学 2013-03-26 Itaru Sasaki

Electronic stopping cross section of tungsten for light ions was experimentally measured in a wide energy interval (20 to 6000 keV for protons and 50 to 9000 keV for helium) in backscattering and transmission geometries. The measurements…

核实验 · 物理学 2021-05-19 M. V. Moro , P. M. Wolf , B. Bruckner , F. Munnik , R. Heller , P. Bauer , D. Primetzhofer

In this paper we discuss the electronic kinetic energy in the ground state of the Holstein Hamiltonian in one space dimension using the Global-Local variational method together with perturbation theory at weak and strong coupling. The…

凝聚态物理 · 物理学 2007-05-23 A. H. Romero , David W. Brown , Katja Lindenberg

The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant. It was not until 1983, however, that a proof of the asymptotic formula for the ground…

凝聚态物理 · 物理学 2009-10-28 E. H. Lieb , L. E. Thomas

Properties of some few-body systems which include one positively charged muon $\mu^{+}$ and two electrons $e^{-}$ are discussed. In particular, we consider the negatively charged muonium ion Mu$^{-}$ (or $\mu^{+} e^{-}_{2}$) and four-body…

原子物理 · 物理学 2017-01-30 Alexei M Frolov

We study the energy of relativistic electrons and positrons interacting via the second quantized Coulomb potential in the field of a nucleus of charge Z within the Hartree-Fock approximation. We show that the associated functional has a…

数学物理 · 物理学 2007-05-23 J. -M. Barbaroux , W. Farkas , B. Helffer , H. Siedentop

We consider a system made up of N electrons interacting with a neutralizing positive background within a cubic box of volume V. After dividing the box into N (or N/2) cubic cells for the polarized (unpolarized) case, we average the creation…

强关联电子 · 物理学 2007-12-11 Salvino Ciccariello

Extensive variational computations are reported for the ground state energy of the non-relativistic two-electron atom. Several different sets of basis functions were systematically explored, starting with the original scheme of Hylleraas.…

原子物理 · 物理学 2009-11-07 Charles Schwartz