Q4. Proof that the probability current for a wavefunction of the form (a) j = R(x)|² h ³s(x) m əx (x) = R(x) eis(x) hk (b) j = |R|² for a wavevector k. m
Q4. Proof that the probability current for a wavefunction of the form (a) j = R(x)|² h ³s(x) m əx (x) = R(x) eis(x) hk (b) j = |R|² for a wavevector k. m
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![Q4. Proof that the probability current for a wavefunction of the form
Þ(x) = R(x) eis(x)
ħ əs(x)
(a) j = |R(x)|²;
т дх
(b) j =
ħk
|R|2 for a wavevector k.
Q5. Proof the following:
(a) Using the Cartesian components of L, Proof that: [L,. Lz]y = 0
(b) Lž + L? # (Ly + iL,)(Ly – iLz)
(c) [L². L+] = 0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7408245c-a53a-45eb-810d-d52759d7ab58%2Faaa54be1-b920-4788-b2d8-76e41cdab474%2Fs1w01vk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q4. Proof that the probability current for a wavefunction of the form
Þ(x) = R(x) eis(x)
ħ əs(x)
(a) j = |R(x)|²;
т дх
(b) j =
ħk
|R|2 for a wavevector k.
Q5. Proof the following:
(a) Using the Cartesian components of L, Proof that: [L,. Lz]y = 0
(b) Lž + L? # (Ly + iL,)(Ly – iLz)
(c) [L². L+] = 0
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