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A complex scalar field that describes a quantum mechanical system. The square of the modulus of the wave function gives the probability of the system to be found in a particular state. DO NOT USE THIS TAG for classical waves.

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Is it possible to construct a state for harmonic oscillator given the mean energy?

Can we have a wavefunction which describes such a state? Any help is appreciated. Is it possible to have such state, as we know the energy is $E=\hbar\omega(n+\frac{1}{2})$? …