Based on the switch [p, x] = ħ/i, prove the validity of the following switches by assuming that the functions f (x) & g (p) are expandable in power series:
Based on the switch [p, x] = ħ/i, prove the validity of the following switches by assuming that the functions f (x) & g (p) are expandable in power series:
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![Based on the switch [p, x] = h/i, prove the validity of the following switches by assuming that the
functions f (x) & g (p) are expandable in power series:
a) [p, f(x)] =
ħ df
i dx
b) [g(p),x]
ħ dg
i dp
and use them to calculate the following switches:
i) [p,x²]:
ii) [p³, x];
iii) [p²,x²]:
iv) [p², f (x)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb3134545-c2d5-4f24-81a8-8d29a4850429%2F4370c395-cc1d-4c81-bb00-c1c8baa7a833%2Fapsiqga_processed.png&w=3840&q=75)
Transcribed Image Text:Based on the switch [p, x] = h/i, prove the validity of the following switches by assuming that the
functions f (x) & g (p) are expandable in power series:
a) [p, f(x)] =
ħ df
i dx
b) [g(p),x]
ħ dg
i dp
and use them to calculate the following switches:
i) [p,x²]:
ii) [p³, x];
iii) [p²,x²]:
iv) [p², f (x)]
Expert Solution
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Given:
F(x) is a function of x
g(p) is function of p
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