# Homework Help: Find density matrice at zero and infinity temperature

1. Jan 16, 2015

### romeo31415

1. The problem statement, all variables and given/known data

2. Relevant equations

Density matrix for a 2 state system is:

3. The attempt at a solution
For a 2 finite state system, the matrice density at limit temperature is

3. The attempt at a solution

Last edited by a moderator: May 7, 2017
2. Jan 16, 2015

### Staff: Mentor

You wrote the density matrix in terms of the energy and $\beta$. What does the finite temperature density matrix in the problems tell you about $E_1$ and $E_2$?

Could you give some details about how you reached the solutions you wrote?

3. Jan 16, 2015

### romeo31415

2. Relevant equations

Density matrix for a 2 state system is:

3. The attempt at a solution
For a 2 finite state system, the matrice density at limit temperature is

Evolution of the density matrix