rigid 7.21 For the ground state of a particle in a have seen that the momentum has a definite magni- tude hk but is equally likely to be in either direction. This means that the uncertainty in p is Ap ~ hk. The uncertainty in position is Ax~ a/2. Verify that these uncertainties are consistent with the Heisenberg uncertainty principle (6.34). malizatio has the va [Hint: U given in SECTION 7.6 (The Rigid Box Again) satisfies 7.22 Prove that the function the equation " = a for any two constants A and B. = Aeax + Be ax (a) W tion 7.30 7.23 We saw that the coefficients A and B in the wave particle probabl of findi and [0. function for a negative-energy state in the rigid box would satisfy have A+B = 0 to and 0. Show that this is possible only if A = B = 0 and hence, that there are no negative- Aead Be aa 11 energy states. 7.31 Ans for the 7.24 Prove that the function =Aelkx + Be ikx satis- 72,1 for any tuIO COnstants A fioc tho aguntion le" 7.32 If a

Question

How do I prove that the transition is successful in problem 7.22?

rigid
7.21 For the ground state of a particle in a
have seen that the momentum has a definite magni-
tude hk but is equally likely to be in either direction.
This means that the uncertainty in p is Ap ~ hk. The
uncertainty in position is Ax~ a/2. Verify that these
uncertainties are consistent with the Heisenberg
uncertainty principle (6.34).
malizatio
has the va
[Hint: U
given in
SECTION 7.6 (The Rigid Box Again)
satisfies
7.22 Prove that the function
the equation " = a for any two constants A and B.
= Aeax + Be ax
(a) W
tion
7.30
7.23 We saw that the coefficients A and B in the wave
particle
probabl
of findi
and [0.
function for a negative-energy state in the rigid box
would
satisfy
have
A+B = 0
to
and
0. Show that this is possible only if
A = B = 0 and hence, that there are no negative-
Aead Be aa
11
energy states.
7.31 Ans
for the
7.24 Prove that the function
=Aelkx + Be ikx
satis-
72,1 for any tuIO COnstants A
fioc tho aguntion le"
7.32 If a
Expand
Transcribed Image Text

rigid 7.21 For the ground state of a particle in a have seen that the momentum has a definite magni- tude hk but is equally likely to be in either direction. This means that the uncertainty in p is Ap ~ hk. The uncertainty in position is Ax~ a/2. Verify that these uncertainties are consistent with the Heisenberg uncertainty principle (6.34). malizatio has the va [Hint: U given in SECTION 7.6 (The Rigid Box Again) satisfies 7.22 Prove that the function the equation " = a for any two constants A and B. = Aeax + Be ax (a) W tion 7.30 7.23 We saw that the coefficients A and B in the wave particle probabl of findi and [0. function for a negative-energy state in the rigid box would satisfy have A+B = 0 to and 0. Show that this is possible only if A = B = 0 and hence, that there are no negative- Aead Be aa 11 energy states. 7.31 Ans for the 7.24 Prove that the function =Aelkx + Be ikx satis- 72,1 for any tuIO COnstants A fioc tho aguntion le" 7.32 If a

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