A particle of mass \( m \) moves in a unidimensional potential field \( U=k x^{2} / 2 \) (harmon...

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A particle of mass \( m \) moves in a unidimensional potential field \( U=k x^{2} / 2 \) (harmonic oscillator). Using the uncertainty principle, evaluate the minimum permitted energy of the particle in that field.
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