# Pseudo Scalar Relativistic QM problem

1. Mar 10, 2005

### robousy

Hi there,

I have a problem that I could really do with a little help on.

I have a spin 1/2 particle in which the dirac eqtn reads:

$$( i {d} - \gamma V(x) - m ) \Phi = 0$$

(I am new to latex - the d is SLASHED and the gamma is GAMMA5 )

In a potential V(x,t) = 0 for -L LTE x GTE L
= V(zero) otherwise

I have to find:

a) energy eigenfunctions and eigenvalues

b) say what happends to the lowest energy eigenvalue and eigenfunction as the potential goes to infinity.