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cse • paper_2 • quantum_mechanicscse-2024-subject-05-005

Probability density — UPSC CSE 2024 Physics PYQ

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The ground state wave function of a harmonic oscillator is \psi_0(x) = \left(\frac{m\omega}{\hbar \pi}\right)^{1/4} \exp\left(-\frac{m\omega x^2}{2\hbar}\right). (i) At which point is the probability density maximum ? (ii) What is the value of the maximum probability density ?

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