The normalised wavefunction for an atom with atomic mass A=96, magnetically trapped in a 1D harmonic oscillator of frequency 690 Hz can be written: ψ=(0.179 ψ0)+(0.107 i ψ5)+(h ψ9). As the individual wavefunctions are orthonormal, use your knowledge to work out |h|, and hence find the expectation value for the energy of the atom, in peV. This is at the opposite end of the energy spectrum to the LHC!

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The normalised wavefunction for an atom with atomic mass A=96, magnetically trapped in a 1D harmonic oscillator of frequency 690 Hz can be written:
ψ=(0.179 ψ0)+(0.107 i ψ5)+(h ψ9). As the individual wavefunctions are orthonormal, use your knowledge to work out |h|, and hence find the expectation value for the energy of the atom, in peV. This is at the opposite end of the energy spectrum to the LHC!
 
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