Transcription of Harmonic oscillator Notes on Quantum Mechanics
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Harmonic oscillator Notes on Quantum Mechanics
Harmonic oscillatorNotes on Quantum updated Thursday, November 30, 2006 13:50:03-05:00 Copyright 2006 Dan Dill of Chemistry, Boston University, Boston MA 02215 Classical Harmonic motionThe Harmonic oscillator is one of the most important model systems in Quantum Mechanics . An Harmonic oscillator is a particle subject to a restoring force that is proportional to the displacement of the particle. In classical physics this meansF=ma=m 2x t2=-kxThe constant k is known as the force constant; the larger the force constant, the larger the restoring force for a given displacement from the equilibrium position (here taken to be x=0). A simple solution to this equation is that the displacement x is given byx=sinI !!!!!!!!!!k m tM,sincem 2x t2=m 2 t2 sinI !
Nov 30, 2006 · Evaluate x0 for 1 81H Br (nè=2650 cm- 1) and H 127 I (nè=2310 cm-1), and analyze your results in comparison to the value for 1 H 35Cl. Here are the answers I get. μωx0 1H35Cl 1.62661×10−27 5.63212×1014 0.10729fi 1H81Br 1.6529×10−27 4.99168×1014 0.113055fi 1H127I 1.66031×10−27 4.35124×1014 0.12082fi Comparison of HCl, HBr and HI …
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