Lecture 8 - One-Dimensional Wave Functions

author: J. Michael McBride, Department of Chemistry, Yale University
recorded by: Yale University
published: June 9, 2010,   recorded: September 2008,   views: 3390
released under terms of: Creative Commons Attribution No Derivatives (CC-BY-ND)
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Description

Professor McBride expands on the recently introduced concept of the wave function by illustrating the relationship of the magnitude of the curvature of the wave function to the kinetic energy of the system, as well as the relationship of the square of the wave function to the electron probability density. The requirement that the wave function not diverge in areas of negative kinetic energy leads to only certain energies being allowed, a property which is explored for the harmonic oscillator, Morse potential, and the Columbic potential. Consideration of the influence of mass reveals an "isotope effect" on dynamics, on the energy, vibration frequency, and length of bonds.

Problem sets/Reading assignment:

Reading assignments, problem sets, PowerPoint presentations, and other resources for this lecture can be accessed from Professor McBride's on-campus course website, which was developed for his Fall 2008 students. Please see Resources section below.

Resources:

Professor McBride's web resources for CHEM 125 (Fall 2008)

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