Issued Wed, Sept 18 Due Wed, Sept 25

There are HINTS for this homework!

Required reading for this week: Gas. Ch. 4.

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 a 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

3) Gas. problem 4-4

4) Gas. 4-5

5) Gas 4-6

6) Gas 4-7

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