Free-particle, Physics


A.  Suppose that the wavefunction for a free-particle is given by the wavefunction

1657_Free-particle 1.png

Find the value of A that normalizes Ψ (x).

B.  The Hamiltonian operator for a free particle is just the kinetic energy operator

185_Free-particle 2.png

Is  Ψ(x) an eigenfunction of the free-particle Hamiltonian?

C.  Can the energy for a quantum mechanical free particle ever be "well-defined"?  Why or why not?

D.  Compute the expectation (average) value of < H >, < p >, and < x > for the Ψ(x) given.

E.  What is the uncertainty in total energy as a function of the parameter, σx?

Posted Date: 2/15/2013 6:22:13 AM | Location : United States

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