Consider a particle in an infinite square well described initially by a wave that is superposition of the ground state and the first excited states of the well: Ψ(x,t = 0) = C[ψ1(x) +ψ 2 (x)](adsbygoogle = window.adsbygoogle || []).push({});

(a) show that the value C =1/ 2 normalizes this wave, assuming 1 ψ and 2 ψ are themselves normalized.

(b)find Ψ(x,t) at any later time t.

(c) show that the superposition state is not a stationary state, but that the average energy of this state is the arithmetic mean (E1+E2)/2 of the ground state energy E1 and the first excited state energy E2.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Triggering a Transition Between Quantum States

**Physics Forums | Science Articles, Homework Help, Discussion**