An oscillator has mass kg and

PHYSICS · Subjective · Fermi University Physics · Quantum Mechanics · Wave mechanics in one dimension · The formalism of quantum mechanics

Quantum Mechanics: From the Photon to the Hydrogen Atom, Ch The harmonic oscillator

Problem

An oscillator has mass

m = 2.0\times10^{-26}

kg and

\omega = 4.0\times10^{14}\ \mathrm{rad\,s^{-1}}

. Find

\langle x^2\rangle

\langle p^2\rangle

and

\Delta x\,\Delta p

in the level

n = 5

, and express

\Delta x\,\Delta p

as a multiple of

\hbar