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We develop a many-particle quantum-hydrodynamical model of fermion matter interacting with the external classical electromagnetic and gravitational/inertial and torsion fields. The consistent hydrodynamical formulation is constructed for…

High Energy Physics - Theory · Physics 2021-12-17 Mariya Iv. Trukhanova , Yuri N. Obukhov

Basic equations of nonequilibrium thermo field dynamics of dense quantum systems are presented. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

Nuclear Theory · Physics 2007-05-23 M. V. Tokarchuk , T. Arimitsu , A. E. Kobryn

A quantum fluid dynamic control formulation is presented for optimally manipulating atomic and molecular systems. In quantum fluid dynamic the control quantum system is expressed in terms of the probability density and the quantum current.…

Chemical Physics · Physics 2009-11-06 Bijoy K. Dey , Herschel Rabitz , Attila Askar

Quantum hydrodynamics is a formulation of quantum mechanics based on the probability density and flux (current) density of a quantum system. It can be used to define trajectories which allow for a particle-based interpretation of quantum…

Quantum Physics · Physics 2019-12-02 Axel Schild

Physical systems made of many interacting quantum particles can often be described by Euler hydrodynamic equations in the limit of long wavelengths and low frequencies. Recently such a classical hydrodynamic framework, now dubbed…

Quantum Gases · Physics 2020-04-10 Paola Ruggiero , Pasquale Calabrese , Benjamin Doyon , Jerome Dubail

The Exact Factorization (XF) of molecular wavefunctions can be viewed as an 'electronic wavepacket' framework for quantum dynamics. It is an appealing alternative to the conventional non-adiabatic dynamics, unfolding in the space of coupled…

Chemical Physics · Physics 2025-10-10 Julian Stetzler , Sophya Garashchuk , Vitaly A. Rassolov

A new concept of the molecular structure optimization method based on quantum dynamics computations is presented. Nuclei are treated as quantum mechanical particles, as are electrons, and the many-body wave function of the system is…

The exact factorization of the time-dependent electron-nuclear wavefunction has been employed successfully in the field of quantum molecular dynamics simulations for interpreting and simulating light-induced ultrafast processes. In this…

Chemical Physics · Physics 2021-09-29 Federica Agostini , E. K. U. Gross

Quantum trajectory calculations for electrons are a useful tool in the field of molecular dynamics, e.g. to understand processes in ultrafast spectroscopy. They have, however, two limitation: On the one hand, such calculations are typically…

Chemical Physics · Physics 2021-09-29 Axel Schild

In this paper we apply quantum hydrodynamics (QHD) to study the quantum evolution of a system of spinning particles and particles that have the electric dipole moments EDM in the rotating reference frame. The method presented is based on…

Plasma Physics · Physics 2016-12-21 Mariya Iv. Trukhanova

The ionization dynamics of a hydrogen molecule, serving as a fundamental benchmark in quantum chemistry, is investigated within a comprehensive framework combining quantum electrodynamics and the Lindblad master equation. This approach…

Quantum Physics · Physics 2025-11-27 Hui-hui Miao

The proof of gauge invariance of the quantum electrodynamics of photons and electrons does not apply directly to the quantum electrodynamics of photons, electrons, and nuclei because multi-electron atoms belong to the space of asymptotic…

High Energy Physics - Phenomenology · Physics 2023-05-26 M. I. Krivoruchenko

We study a partially ionized hydrogen plasma by means of quantum molecular dynamics, which is based on wave packets. We introduce a new model which distinguishes between free and bound electrons. The free electrons are modelled as Gaussian…

Plasma Physics · Physics 2009-10-30 W. Ebeling , B. Militzer

An approach to non-adiabatic dynamics of atoms in molecular and condensed matter systems under general non-equilibrium conditions is proposed. In this method interaction between nuclei and electrons is considered explicitly up to the second…

Materials Science · Physics 2018-08-01 L. Kantorovich

A gauge-invariant Wigner quasi-distribution function for charged particles in classical electromagnetic fields is derived in a rigorous way. Its relation to the axial gauge is discussed, as well as the relation between the kinetic and…

Condensed Matter · Physics 2009-11-07 M. Levanda , V Fleurov

We present a novel quantum-classical approach to non-adiabatic dynamics, deduced from the coupled electronic and nuclear equations in the framework of the exact factorization of the electron-nuclear wave function. The method is based on the…

Chemical Physics · Physics 2015-08-19 Seung Kyu Min , Federica Agostini , E. K. U. Gross

Nuclear quantum effects, such as zero-point energy and tunneling, cause significant changes to the structure and dynamics of hydrogen bonded systems such as liquid water. However, due to the current inability to simulate liquid water using…

Chemical Physics · Physics 2015-06-19 Lu Wang , Michele Ceriotti , Thomas E. Markland

We consider general theoretical models of water and in particular the nature of the motions of the hydrogen nuclei. If the motion of hydrogen nuclei is classical, then the thermodynamic pressure equation of state for heavy water wherein the…

Other Condensed Matter · Physics 2015-12-11 A. Widom , J. Swain , S. Sivasubramanian , D. Drosdoff , Y. N. Srivastava

Starting with the exact factorization of the molecular wavefunction, this paper presents the results from the numerical implementation in nonadiabatic molecular dynamics of the recently proposed bohmion method. Within the context of quantum…

Chemical Physics · Physics 2021-10-06 Darryl D. Holm , Jonathan I. Rawlinson , Cesare Tronci

An approach to correlated dynamics of quantum nuclei and electrons both in dynamical interaction with external environments is presented. This stochastic quantum molecular dynamics rests on a theorem that establishes a one-to-one…

Materials Science · Physics 2012-12-27 Heiko Appel , Massimiliano Di Ventra