Quantum Mechanics Solution Manual |
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© Leon van Dommelen |
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4.4.3.2 Solution esdb2-b
Question:
Continuing the previous question, evaluate the standard deviations in energy, square angular momentum, and
angular momentum in the 2p
state using inner products.
Answer:
For energy you have,
or multiplying out, noting that
, so that
0,
which is zero. The same way,
0.
For
angular momentum, you have, since the expectation value is zero,
or multiplying out,
which multiplies out to
, so
itself is
.