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biryani
biryani
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In a single particle Harmonic Oscillator, suppose I prepare it in the ground state and then measure its position. From the relation connecting Total Energy, Kinetic energy and Potential I can calculate its momentum also. So there is a one-to-one mapping between momentum and position. Then how can they have different uncertainties?

$(p^2/2m) + kx^2 = E_0$

In a single particle Harmonic Oscillator, suppose I prepare it in the ground state and then measure its position. From the relation connecting Total Energy, Kinetic energy and Potential I can calculate its momentum also. So there is a one-to-one mapping between momentum and position. Then how can they have different uncertainties?

In a single particle Harmonic Oscillator, suppose I prepare it in the ground state and then measure its position. From the relation connecting Total Energy, Kinetic energy and Potential I can calculate its momentum also. So there is a one-to-one mapping between momentum and position. Then how can they have different uncertainties?

$(p^2/2m) + kx^2 = E_0$

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biryani
biryani
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Uncertainty principle in Harmonic Oscillator

In a single particle Harmonic Oscillator, suppose I prepare it in the ground state and then measure its position. From the relation connecting Total Energy, Kinetic energy and Potential I can calculate its momentum also. So there is a one-to-one mapping between momentum and position. Then how can they have different uncertainties?