HAtom2

HAtom2 - Physical Chemistry Course Number: C362 12.2 The...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Physical Chemistry Course Number: C362 12.2 The hydrogen atom Schrodinger Equation in spherical coordinates 1. As noted in the spherical coordinates handout it is always convenient to choose a coordinate system that represents the symmetry of the problem. In this case, again, there is an inherent spherical symmetry that is enforced by the potential. What is meant by this statement is that as the electron moves on the surface of a sphere of any radius, with the nucleus at the center of the sphere, it feels the same potential all through since the potential energy is only a function of | r e N | . This is called spherical symmetry!! 2. In general, we should note that the symmetry of the problem is that enforced by the potential energy function and the subject of group theory is based on exploiting such symmetries to simplify problems of quantum mechanics and in many cases obtain accurate qualitative results without doing much of algebra! 3. Back to Eq. ( 12.23 ) we need to write 2 r e- N in spherical coordinates. Using the results in the spherical coordiantes handout (please go over it), we obtain: 2 = 1 r 2 sin braceleftBigg r bracketleftBigg r 2 sin r bracketrightBigg + bracketleftBigg sin bracketrightBigg + bracketleftBigg...
View Full Document

This note was uploaded on 01/17/2012 for the course C 362 taught by Professor Amarflood during the Winter '11 term at Indiana.

Page1 / 3

HAtom2 - Physical Chemistry Course Number: C362 12.2 The...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online