Introductory Quantum Mechanics I

Illustration of an avoided crossing.

The Born-Oppenheimer approximation fails when two electron states almost cross, also known as an "avoided crossing." An avoided crossing is illustrated in the above plot of adiabatic electronic energy as a function of R. (Figure by Prof. Troy Van Voorhis.)

Instructor(s)

MIT Course Number

5.73

As Taught In

Fall 2005

Level

Graduate

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Course Features

Course Description

5.73 covers fundamental concepts of quantum mechanics: wave properties, uncertainty principles, Schrödinger equation, and operator and matrix methods. Basic applications of the following are discussed: one-dimensional potentials (harmonic oscillator), three-dimensional centrosymmetric potentials (hydrogen atom), and angular momentum and spin. The course also examines approximation methods: variational principle and perturbation theory.

Van Voorhis, Troy. 5.73 Introductory Quantum Mechanics I, Fall 2005. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/chemistry/5-73-introductory-quantum-mechanics-i-fall-2005 (Accessed). License: Creative Commons BY-NC-SA


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