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The high-temperature atom exchange and dissociation reaction dynamics of the O($^3$P) + O$_2(^3\Sigma_g^{-} )$ system are investigated based on a new reproducing kernel-based representation of high-level multi-reference configuration…

化学物理 · 物理学 2025-06-09 JingChun Wang , Juan Carlos San Vicente Veliz , Meenu Upadhyay , Markus Meuwly

In the work of Das and Sharma [Phys. Rev. A 105, 033716 (2022)] the phase transitions of the Dicke model are studied. Its main result is that, besides the well-known quantum phase transition, excited-state quantum phase transition and…

量子物理 · 物理学 2022-10-14 Ángel L. Corps , Armando Relaño

In this paper, we investigate a system of parabolic partial differential equations with unknown-dependent coefficients that integrates two models: an anisotropic orientation-adaptive denoising process in image processing and a phase-field…

偏微分方程分析 · 数学 2026-05-05 Naotaka Ukai

The quintessence dark energy potential is reconstructed in a model-independent way. Reconstruction relies on a Gaussian process and on available expansion-rate data. Specifically, 40-point values of $H(z)$ are used, consisting of a 30-point…

广义相对论与量子宇宙学 · 物理学 2022-03-15 Emilio Elizalde , Martiros Khurshudyan , K. Myrzakulov , S. Bekov

In this contribution I critically revise the alchemical reversible approach in the context of the statistical mechanics theory of non covalent bonding in drug receptor systems. I show that most of the pitfalls and entanglements for the…

生物大分子 · 定量生物学 2016-06-29 Piero Procacci

Extended Lagrangian Born-Oppenheimer molecular dynamics [Phys. Rev. Lett., ${\bf 100}$, 123004 (2008)] is formulated for general Hohenberg-Kohn density functional theory and compared to the extended Lagrangian framework of first principles…

材料科学 · 物理学 2017-09-13 Anders M. N. Niklasson

Extended Lagrangian Born-Oppenheimer molecular dynamics (XL-BOMD) [Phys. Rev. Lett. vol. 100, 123004 (2008)] is combined with Kohn-Sham density functional theory (DFT) using a DFT+U correction based on the Hubbard model. This combined…

Density functional approximations to the exchange-correlation energy of Kohn-Sham theory, such as the local density approximation and generalized gradient approximations, lack the well-known integer discontinuity, a feature that is critical…

化学物理 · 物理学 2015-06-18 Martin A. Mosquera , Adam Wasserman

The discrete Fourier transform is approximated by summing over part of the terms with corresponding weights. The approximation reduces significantly the requirement for computer memory storage and enhances the numerical computation…

强关联电子 · 物理学 2015-03-19 Xin-Zhong Yan

Linear and nonlinear Hodge-like systems for 1-forms are studied, with an assumption equivalent to complete integrability substituted for the requirement of closure under exterior differentiation. The systems are placed in a variational…

偏微分方程分析 · 数学 2010-12-21 Antonella Marini , Thomas H. Otway

This paper is a continuation of a previous work about the study of the survival probability modelizing the molecular predissociation in the Born-Oppenheimer framework. Here we consider the critical case where the reference energy…

数学物理 · 物理学 2018-12-21 Philippe Briet , André Martinez

On a dense energy grid reaching up to 75 meV electron collision energy the fragmentation angle and the kinetic energy release of neutral dissociative recombination fragments have been studied in a twin merged beam experiment. The anisotropy…

The reformulation of field theory for avoiding self-energy parts in the dynamical evolution has been applied successfully in the framework of the Lee model, [M. de Haan. Ann. Phys., 311, 314-349 (2004)] enabling a kinetic extension of the…

量子物理 · 物理学 2009-11-10 Michel de Haan

The optical spectra of two-dimensional (2D) periodic systems provide a challenge for time-dependent density-functional theory (TDDFT) because of the large excitonic effects in these materials. In this work we explore how accurately these…

材料科学 · 物理学 2021-01-27 Stefano Di Sabatino , J. A. Berger , Pina Romaniello

Predicting the change in binding free energy ($\Delta \Delta G$) is crucial for understanding and modulating protein-protein interactions, which are critical in drug design. Due to the scarcity of experimental $\Delta \Delta G$ data,…

计算工程、金融与科学 · 计算机科学 2024-10-15 Xiaoran Jiao , Weian Mao , Wengong Jin , Peiyuan Yang , Hao Chen , Chunhua Shen

An accurate expression of the kinetic energy density of an electronic distribution in terms of the single particle reduced density matrix for atomic and molecular systems is a long-standing problem in electron structure theory. Existing…

化学物理 · 物理学 2024-10-30 Priya , Mainak Sadhukhan

Chemical theories involving thermodynamical equilibrium states invariably utilize statistical mechanical equilibrium density distributions. Here, a definition of heat-work transformation termed thermo mechanical coherence is first made, and…

化学物理 · 物理学 2007-05-23 Christopher G. Jesudason

Standard derivations of ``time-independent perturbation theory'' of quantum mechanics cannot be applied to the general case where potentials are energy dependent or where the inverse free Green function is a non-linear function of energy.…

高能物理 - 理论 · 物理学 2007-05-23 A. N. Kvinikhidze , B. Blankleider

Simultaneously, the vibrational nuclear dynamics and full dimensional electronic dynamics of the deuterium molecular ion exposed to the linear polarized intense laser field are studied. The time dependent Schr\"odinger equation of the…

原子物理 · 物理学 2010-11-23 Mohsen Vafaee

The method of many-body Green's functions is developed for arbitrary systems of electrons and nuclei starting from the full (beyond Born-Oppenheimer) Hamiltonian of Coulomb interactions and kinetic energies. The theory presented here…

其他凝聚态物理 · 物理学 2020-06-23 Ville J. Härkönen , Robert van Leeuwen , E. K. U. Gross