In: Physics
Determine an expression for ∆x∆px for the second harmonic oscillator eigenstate. Does this obey the uncertainty principle?
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I solved this problem for a general case for your future reference . by this formula you can calculate uncertainty in any state ... like ground state , first excited state , second excited state and more.
yes harmonic oscillator obeys the uncertainty principle ! for ground state ( n=0 ) . ground state is minimum uncertainty state.