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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
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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