Among the single-trajectory Gaussian-based methods for solving the time-dependent
Schrödinger equation, the variational Gaussian approximation is the most accurate one. In …

This paper gives a review of our recent work on the quantum Frenkel–Kontorova model.
Using the squeezed state theory and the quantum Monte Carlo method, we have studied the …

A conceptually simple approximation to quantum mechanics, quantized Hamilton dynamics
(QHD) includes zero-point energy, tunneling, dephasing, and other important quantum …

The semiquantal time-dependent Hartree (SQTDH) theory is applied to the coupled Morse
and modified Lippincott-Schroeder (LS) model potentials of hydrogen bond. The structural …

The quasienergy spectrum of a periodically driven quantum system is constructed from
classical dynamics by means of the semiclassical initial value representation using coherent …

We study kicked quantum systems by using the squeezed state approach. Taking the kicked
quantum harmonic oscillator as an example, we demonstrate that chaos in an underlying …

The reaction rate of adiabatic proton/hydrogen/hydride (H) transfers in condensed phase is
examined by combining the semiquantal time-dependent Hartree theory and the …

The semi-quantal dynamics is applied to investigate the influence of quantum fluctuations on
problems in classical chaos through intermittency involving bifurcations. The results of the …

We investigate the dynamics of a system coupled to an environment by averaged
semiquantum method. The theory origins from the time-dependent variational principle …

We investigate the quantum-classical correspondence of kicked harmonic oscillator (KHO)
model by the averaged semiquantum method. Furthermore, we investigate the decoherence …