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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)]
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)]
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