Coherent state based solutions of the time-dependent Schrödinger equation: hierarchy of approximations to the variational principle

M Werther, SL Choudhury… - International Reviews in …, 2021 - Taylor & Francis
In this review, we give a comprehensive comparison of the most widely used coherent state
(CS) based methods to solve the time-dependent Schrödinger equation (TDSE). Starting …

Skew scattering and side jump of spin wave across magnetic texture

J Lan, J Xiao - Physical Review B, 2021 - APS
Spin wave and magnetic texture are two elementary excitations in magnetic systems, and
their interaction leads to rich magnetic phenomena. By describing spin wave and magnetic …

[PDF][PDF] L. Family of Gaussian Wavepacket Dynamics Methods from the Perspective of a Nonlinear Schrödinger Equation

JJL Vanícek - J. Chem. Phys, 2023 - inspirehep.net
Many approximate solutions of the time-dependent Schrödinger equation can be formulated
as exact solutions of a nonlinear Schrödinger equation with an effective Hamiltonian …

[HTML][HTML] Family of Gaussian wavepacket dynamics methods from the perspective of a nonlinear Schrödinger equation

J JL Vaníček - The Journal of Chemical Physics, 2023 - pubs.aip.org
Many approximate solutions of the time-dependent Schrödinger equation can be formulated
as exact solutions of a nonlinear Schrödinger equation with an effective Hamiltonian …

[HTML][HTML] High-order geometric integrators for the variational Gaussian approximation

R Moghaddasi Fereidani, JJL Vaníček - The Journal of Chemical …, 2023 - pubs.aip.org
Among the single-trajectory Gaussian-based methods for solving the time-dependent
Schrödinger equation, the variational Gaussian approximation is the most accurate one. In …

Geometrical aspects in optical wave-packet dynamics

M Onoda, S Murakami, N Nagaosa - … Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
We construct a semiclassical theory for propagation of an optical wave packet in a
nonconducting medium with a periodic structure of dielectric permittivity and magnetic …

High-order geometric integrators for the local cubic variational Gaussian wavepacket dynamics

R Moghaddasi Fereidani, JJL Vaníček - The Journal of Chemical …, 2024 - pubs.aip.org
Gaussian wavepacket dynamics has proven to be a useful semiclassical approximation for
quantum simulations of high-dimensional systems with low anharmonicity. Compared to …

Spin and Madelung fluid

G Salesi - Modern Physics Letters A, 1996 - World Scientific
Starting from the Pauli current we obtain the decomposition of the nonrelativistic local
velocity in two parts: one parallel and the other orthogonal to the impulse. The former is …

Solution of quantum Langevin equation: Approximations, theoretical and numerical aspects

D Banerjee, BC Bag, SK Banik, DS Ray - The Journal of chemical …, 2004 - pubs.aip.org
Based on a coherent state representation of noise operator and an ensemble averaging
procedure using Wigner canonical thermal distribution for harmonic oscillators, a …

Gaussian resolutions for equilibrium density matrices

P Frantsuzov, A Neumaier, VA Mandelshtam - Chemical Physics Letters, 2003 - Elsevier
The Gaussian wavepacket propagation method of Hellsing et al.[Chem. Phys. Lett. 122
(1985) 303] for the computation of equilibrium density matrices ρ ̂ T is revisited and …