(a)
Show that if
(a)
Answer to Problem 11.23P
It is showed that if
Explanation of Solution
Write the expression for the Schrodinger equation using the given equation 11.108.
Write the expression for the Hamiltonian.
Use equation (II) in (I) and it can be written as
If the
So if equation 11.108 is a solution to the Schrodinger equation if
Conclusion:
Therefore, it is showed that if
(b)
Check the correct solution in the general case
(b)
Answer to Problem 11.23P
It is showed the correct solution in the general case
Explanation of Solution
Take the derivation of equation 11.109 and recalling that,
In all this case
Compare the equation (VI) with 11.109 and it can be written as
Conclusion:
Therefore, it is showed the correct solution in the general case
(c)
Show that
(c)
Answer to Problem 11.23P
It is showed that
Explanation of Solution
Write the expression for
Replace the variables with
Use equation (IX) and write the expression to generalize to higher power of
Conclusion:
Therefore, it is showed that
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Chapter 11 Solutions
Introduction To Quantum Mechanics
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