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 …
(CS) based methods to solve the time-dependent Schrödinger equation (TDSE). Starting …
Skew scattering and side jump of spin wave across magnetic texture
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
Based on a coherent state representation of noise operator and an ensemble averaging
procedure using Wigner canonical thermal distribution for harmonic oscillators, a …
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 …
(1985) 303] for the computation of equilibrium density matrices ρ ̂ T is revisited and …