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The quantum states representing classical phase space are given, and these are used to formulate quantum statistical mechanics as a formally exact double perturbation expansion about classical statistical mechanics. One series of quantum…

量子物理 · 物理学 2016-11-03 Phil Attard

A Monte Carlo computer simulation algorithm in classical phase space is given for the treatment of quantum systems. The non-commutativity of position and momentum is accounted for by a mean field approach and instantaneous effective…

量子物理 · 物理学 2018-12-11 Phil Attard

A Metropolis Monte Carlo algorithm is given for the case of a complex phase space weight, which applies generally in quantum statistical mechanics. Computer simulations using Lennard-Jones $^4$He near the $\lambda$-transition, including an…

统计力学 · 物理学 2026-01-27 Phil Attard

We derive an explicit analytic expression for the first quantum correction to the second virial coefficient of a $d$-dimensional fluid whose particles interact via the generalized Lennard-Jones $(2n,n)$ potential. By introducing an…

统计力学 · 物理学 2025-12-12 Daniel Parejo , Andrés Santos

A third order expansion for Wigner-Kirkwood commutation function, a complex function in classical phase space that accounts for the Heisenberg uncertainty relation, is approximated and integrated over momentum to give a real function in…

统计力学 · 物理学 2026-03-04 Phil Attard

One-particle energy eigenfunctions are used to obtain quantum averages in many particle systems. These are based on the effective local field due to fixed neighbors in classical phase space, while the averages account for the…

量子物理 · 物理学 2020-05-14 Phil Attard

We present a numerical scheme for calculating the first quantum corrections to the properties of static solitons. The technique is applicable to solitons of arbitrary shape, and may be used in 3+1 dimensions for multiskyrmions or other…

高能物理 - 理论 · 物理学 2007-05-23 Chris Barnes , Neil Turok

We use the semi-classical approximation in perturbative scalar quantum electrodynamics to calculate the quantum correction to the Larmor radiation formula to first order in Planck's constant in the non-relativistic approximation, choosing…

高能物理 - 理论 · 物理学 2013-05-29 A. Higuchi , P. J. Walker

A recently proposed method, based on quadrupole and multiplicity fluctuations in heavy ion collisions, is modified in order to take into account distortions due to the Coulomb field. The classical and quantum limits for fermions are…

核理论 · 物理学 2014-03-11 Hua Zheng , Gianluca Giuliani , Aldo Bonasera

We consider the Einstein equation with first order (semiclassical) quantum corrections. Although the quantum corrections contain up to fourth order derivatives of the metric, the solutions which are physically relevant satisfy a reduced…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Leonard Parker , Jonathan Z. Simon

We compute the renormalized one-loop quantum corrections to the energy density $T_{00}(x)$ and pressure $T_{11}(x)$ for solitons in the $1+1$ dimensional scalar sine-Gordon and kink models. We show how precise implementation of counterterms…

高能物理 - 理论 · 物理学 2025-05-26 Noah Graham , Herbert Weigel

We study the classical and quantum perturbation theory for two non--resonant oscillators coupled by a nonlinear quartic interaction. In particular we analyze the question of quantum corrections to the torus quantization of the classical…

量子物理 · 物理学 2007-05-23 Luca Salasnich

Lithium is a typical quantum solid, characterized by cubic structures at ambient pressure. As the pressure increases, it forms more complex structures and undergoes a metal-to-semiconductor transformation, complicating theoretical and…

材料科学 · 物理学 2025-06-24 Qi Zhang , Xiaoyang Wang , Rong Shi , Xinguo Ren , Han Wang , Lei Wang

We review recent progress in the computation of leading quantum corrections to the energies of classical solitons with topological structure, including multi-soliton models in one space dimension and string configurations in three space…

高能物理 - 理论 · 物理学 2022-04-28 N. Graham , H. Weigel

In this article we build a metric for a classical general relativistic electron model with QED corrections. We calculate the stress-energy tensor for the radiative corrections to the Coulomb potential in both the near-field and far-field…

广义相对论与量子宇宙学 · 物理学 2010-06-10 Ron Lenk

Two new general representations (the series and the integral) for the mass current $\vj$ in weakly inhomogeneous superfluid A-phase of Helium--3 are obtained near zero of temperature by solving the Dyson-Gorkov equation. These…

软凝聚态物质 · 物理学 2019-01-17 C. Malyshev

Atomic forces are calculated for first-row monohydrides and carbon monoxide within electronic quantum Monte Carlo (QMC). Accurate and efficient forces are achieved by using an improved method for moving variational parameters in variational…

化学物理 · 物理学 2009-11-10 Myung Won Lee , Massimo Mella , Andrew M. Rappe

The phase diagram of natural neon has been calculated for temperatures in the range 17-50 K and pressures between 0.01 and 2000 bar. The phase coexistence between solid, liquid, and gas phases has been determined by the calculation of the…

化学物理 · 物理学 2011-09-07 R. Ramirez , C. P. Herrero

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

量子物理 · 物理学 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

Quantum Monte Carlo calculations of the first-row atoms Li-Ne and their singly-positively-charged ions are reported. Multi-determinant-Jastrow-backflow trial wave functions are used which recover more than 98% of the correlation energy at…

计算物理 · 物理学 2016-08-14 P. Seth , P. López Ríos , R. J. Needs
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