The position and momentum operators for a harmonic oscillator with mass m and mhw angular frequency w are given by â=√√2(a + â¹) and p = -√√m (à-â¹), respec- tively, with â and at the usual ladder operators obeying [â, â¹]=1. Show that [â, p] = ih
The position and momentum operators for a harmonic oscillator with mass m and mhw angular frequency w are given by â=√√2(a + â¹) and p = -√√m (à-â¹), respec- tively, with â and at the usual ladder operators obeying [â, â¹]=1. Show that [â, p] = ih
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![(c) The position and momentum operators for a harmonic oscillator with mass m and
angular frequency w are given by â=√(â+ â¹) and p = -i√√mhw (
mhw (à - a¹), respec-
tively, with â and at the usual ladder operators obeying [â, à¹]=1. Show that [â, p] = ih
2mw](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe44e7fdc-f850-4dc9-8247-4240983c667e%2F3e04ace4-74cc-4652-95b4-cf90a1c35441%2Fwa4i3b7j_processed.png&w=3840&q=75)
Transcribed Image Text:(c) The position and momentum operators for a harmonic oscillator with mass m and
angular frequency w are given by â=√(â+ â¹) and p = -i√√mhw (
mhw (à - a¹), respec-
tively, with â and at the usual ladder operators obeying [â, à¹]=1. Show that [â, p] = ih
2mw
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