Issued Wed, Sept 17 Due Wed, Sept 24

Required reading for this week: Ch. 4.

There are HINTS for this homework.

1) The Parity Operator, , is defined by .

The Hamiltonian Operator, is (as usual) defined by .

Find the commutator, if

a) The potential V(x)= c x (a linear potential, with c a constant)

b) The potential V(x)=k x^2/2 (a spring potential, with "k" some constant)

In each case above, do you expect that a wave function which starts out even will stay even for all future times?

2 Evaluate:

a)

b)

c)

d) Sketch the function defined by

3) Gas. 4-3 (Note: His symbols refer back to operators in his problem 4-1)

4) Gas. 4-5

5) Gas 4-7.

Note the typo: Gas really means to say