I have a problems, help me please(adsbygoogle = window.adsbygoogle || []).push({});

a) A free particle of mass m moves in one-dimensional space in the interval 0 <= x, with enery E. There is a rigid wall at x = 0. Write down a time-independent wavefunction, which satisfies these conditions, in term of x and k wher k is the wave vector of the motion. State the relation between k and E for this wavefunction.

b) Show explicity that the wavefunction you have found in part a) is an eigenfunction of the Hamitonian for this system.

c) What is the time-dependent state, psi(x,t). corresponding to the wavefunction psi(x)?

**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: Time-independent wavefunction

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