H++H, He, and H2 scattering using a new time‐dependent method for electron nuclear dynamics

1993 ◽  
Vol 99 (6) ◽  
pp. 4554-4565 ◽  
Author(s):  
Ricardo Longo ◽  
Erik Deumens ◽  
Yngve Öhrn
Keyword(s):  
Time Dependent ◽  
Nuclear Dynamics ◽  
New Time

Introduction

2018 ◽  
Author(s):  
Niels Engholm Henriksen ◽  
Flemming Yssing Hansen
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Degrees Of Freedom ◽  
State Level ◽  
Boltzmann Distribution ◽  
Theoretical Description ◽  
Time Dependent ◽  
Nuclear Dynamics ◽  
Molecular Reaction ◽  
Oppenheimer Approximation

This introductory chapter considers first the relation between molecular reaction dynamics and the major branches of physical chemistry. The concept of elementary chemical reactions at the quantized state-to-state level is discussed. The theoretical description of these reactions based on the time-dependent Schrödinger equation and the Born–Oppenheimer approximation is introduced and the resulting time-dependent Schrödinger equation describing the nuclear dynamics is discussed. The chapter concludes with a brief discussion of matter at thermal equilibrium, focusing at the Boltzmann distribution. Thus, the Boltzmann distribution for vibrational, rotational, and translational degrees of freedom is discussed and illustrated.

A new time-dependent rate constant of the coalescence kernel for the modelling of fluidised bed granulation

2021 ◽  
Vol 379 ◽  
pp. 321-334
Author(s):  
Kevin Cronin ◽  
Francisco J. Gutiérrez Ortiz ◽  
Denis Ring ◽  
Fuweng Zhang
Keyword(s):  
Rate Constant ◽  
Time Dependent ◽  
Fluidised Bed ◽  
Dependent Rate ◽  
New Time

scholarly journals Constructing the time independent Hamiltonian from a time dependent one

Open Physics ◽  
2007 ◽  
Vol 5 (3) ◽  
Author(s):  
Michał Dobrski
Keyword(s):  
Dynamical System ◽  
Harmonic Oscillator ◽  
Time Dependent ◽  
Damped Harmonic Oscillator ◽  
Hamiltonian Dynamical System ◽  
Equivalent Time ◽  
New Time

AbstractIn this paper we introduce a method for finding a time independent Hamiltonian of a given Hamiltonian dynamical system by canonoid transformation of canonical momenta. We find a condition that the system should satisfy to have an equivalent time independent formulation. We study the example of a damped harmonic oscillator and give the new time independent Hamiltonian for it, which has the property of tending to the standard Hamiltonian of the harmonic oscillator as damping goes to zero.

Sign in / Sign up

Export Citation Format

Share Document