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3. Consider a system of two independent harmonic oscillators of angular frequencies w and we and denote the creation and annihilation operators corresponding to oscillator

3. Consider a system of two independent harmonic oscillators of angular frequencies w and we and denote the creation and annihilation operators corresponding to oscillator 1 by a, a, and for oscillator 2 by a, ag. Write down the expression of the Hamiltonian for the system using the creation and annihilation operators

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