# Hamiltonian Matrix

1. May 27, 2008

### mkbh_10

In the volume III of R Feynman series which is on Quantum Mechanics , please explain to me the eq.8.43 given on page 1529, i know how we got the equation but the 2nd part of 1st equation (H12)C2, what does it mean ?

2. May 27, 2008

### Gokul43201

Staff Emeritus
This equation is simply an application of eq. 8.39 to a 2-state system. C1 and C2 are the components of the wave function along each of the 2 basis states. H12 and H21 are the off-diagonal terms in the Hamiltonian.

$$\mathcal{H} \equiv \left( \begin{array}{cc} H_{11} & H_{12}\\ H_{21} & H_{22} \end{array} \right)$$

Last edited: May 27, 2008