Questions 11 - 16
Contents
Questions 11 - 16#
Q11#
Find
Q12#
(a) Find
(b) Do
Q13#
If
Q14#
(a) Explain why if
(b) Confirm equation 4 if
(c) Using Sympy (or by hand ) find
Strategy: See Section 4.14, but now the problem is algebraic not numerical.
Q15 Commuting operators#
(a) Show that if
(b) (i) find
(c) Show that operators
(d) Write a Python/Sympy commutator function and test your results.
(e) Do
(f) Does the operator
(g) Does the operator
Q16 Commuting matrices#
(a)
(b)
(c)
Strategy: (a) Expand out the exponentials as shown in Section 5.5 and collect terms and try to reform an exponential series in