The Schrödinger Equation

The Schrödinger Equation - The...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
The Schrödinger Equation Ch 301 B. A. Rowland September 8, 2008
Background image of page 1

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

View Full DocumentRight Arrow Icon
A Brief Review Experiments have shown that matter has a wave-particle duality. We briefly examined the Schrödinger Equation as a new governing equation for chemistry. This equation explicitly brings in this duality as we will be solving the system for a wave (the wave function). The wave function Ψ represents everything knowable about a system. Today: How do we generate solutions to the TISE?
Background image of page 2
The Schrödinger Equations We now have learned that matter will sometimes behave as a wave—we need a new governing equation in chemistry! In 1926 Schrödinger proposes two equations for this purpose. Schrödinger introduces ψ to represent the wave function of the system. H is an operator (not a variable) which is unique for each atom. 2200 Ψ can be thought of as the function that contains all the information that can be known about the system—it is a wave! ˆ i t ψ = Η h ˆ E Η = Time-Dependent Schrödinger Equation My work in graduate school was to find Ways to solve this equation for systems. Interesting equation, but not our focus. Time-Independent Schrödinger Equation This equation will be our focus.
Background image of page 3

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

View Full DocumentRight Arrow Icon
Coulomb’s Law Charged particles (protons and electrons) interact via Coulomb’s Law. Electrostatic interactions can be used to describe a great deal of chemistry. Every proton-electron and
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/15/2008 for the course CH 301 taught by Professor Fakhreddine/lyon during the Spring '07 term at University of Texas.

Page1 / 14

The Schrödinger Equation - The...

This preview shows document pages 1 - 5. Sign up to view the full document.

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