next up previous
Next: d) Up: (10 pts) Proofs Previous: a)

c)

The variational principle:
The average energy (of a properly normalized state) always exceeds the ground state energy


From this result, show also that for any function (even if not properly normalized), that the Rayleigh quotient obeys



Prof. Tomas Alberto Arias
Thu Oct 12 17:16:14 EDT 1995