Quantum-Mechanical Explicit Solution for the Confined Harmonic Oscillator Model with the Von Roos Kinetic Energy Operator

2020 ◽  
Vol 86 (1) ◽  
pp. 25-37
Author(s):  
E.I. Jafarov ◽  
S.M. Nagiyev ◽  
A.M. Jafarova
Keyword(s):  
Kinetic Energy ◽  
Harmonic Oscillator ◽  
Explicit Solution ◽  
Energy Operator ◽  
Oscillator Model ◽  
Quantum Mechanical ◽  
Kinetic Energy Operator ◽  
Harmonic Oscillator Model

scholarly journals Simple Harmonic Oscillator Model of O2 Molecule in Vacuum: A Classical Molecular Dynamics Study

2018 ◽  
Vol 4 (1) ◽  
pp. 8-16
Author(s):  
Salmahaminati Salmahaminati
Keyword(s):  
Molecular Dynamics ◽  
Harmonic Oscillator ◽  
Electronic Transitions ◽  
Oscillator Model ◽  
Quantum Mechanical ◽  
Vibrational Modes ◽  
Simple Harmonic Oscillator ◽  
Quantum Mechanical Description ◽  
Harmonic Oscillator Model ◽  
Basic Understanding

The simple harmonic oscillator model allows a basic understanding of all processes and can be used to analyse optical vibrational modes and electronic transitions in atoms, molecules and crystals, in order to derive general properties of harmonic generation to all orders. In particular, we are done to investigate single, ten, and twenty harmonic oscillator of O2 molecule using GROMACS 4.55. Time is the important factor in simulation because the best result of simulation can be obtained by increasing the number of steps and by decreasing the timesteps. Since the properties only depend on time and not on the specific microscopic model, they can also be adopted for the quantum-mechanical description by using in the classical molecular dynamics. 

The harmonic oscillator model in predissociation

1978 ◽  
Vol 33 (2) ◽  
pp. 205-217 ◽  
Author(s):  
Michael L. Sink ◽  
André D. Bandrauk
Keyword(s):  
Harmonic Oscillator ◽  
Oscillator Model ◽  
Harmonic Oscillator Model
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