Notes on Eigenvalues
Math 107 - Summer 2012
Eigenvalues and Eigenvectors
Definition: Given a square matrix A we define its eigenvalues and eigenvectors through
the following equation,
Av = v
The number is called the eigenvalue of the matrix A and the vect

Key ideas and formulas for statistical physics
(overlaps with Ch6 of Philip Nelsons Biological Physics)
Goal: to characterize macroscopic systems consisting of many microscopic
parts such that the macroscopic systems are in equilibrium (thermodynamic
equi

Diagonalization, Transformation, Generators and Commutators
Phy 464 - Fall 2013
In this note we focus on topics specifically pertinent to quantum mechanics. Please consult
the note Eigenvalues and Eigenvectors for a general introduction to eigenvalues and

Jim Lambers
MAT 415/515
Fall Semester 2013-14
Lecture 3 Notes
These notes correspond to Section 5.2 in the text.
Gram-Schmidt Orthogonalization
We have seen that it can be very convenient to have an orthonormal basis for a given vector
space, in order to

Postulates of Quantum Mechanics and Discrete Systems
Phy 464 - Fall 2014
In this note we discuss the basic postulates and properties of quantum mechanics and show
their application to some discrete systems, in particular two state systems and the one
dime