Show that the total energy of the system is equal to the sum of energies associated with the two modes.
Answers
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Explanation:
really should know this off by heart (this is my field...) but I never really grasped the difference between the total wavefunction of a system and the wavefunctions of particles within it, so it only just dawned on me that perhaps the total energy of a system was simply the sum of the energies of the individual particles.
It's true, isn't it?
By 'energy' here, I really mean ⟨E⟩. So would the expectation value of the total energy equal the sum of the expectation values of all the component particles? Or is there some conditionality to it? I.e. in a quantum computer, if the states of two qubits are opposites, then the expectation value of the total energy would be the sum of the component energies for each possible scenario |0⟩|1⟩ and |1⟩|0⟩, multiplied by the probability of each.