Question: The correlation function for vibrational relaxation QQ(t) can be written in second quantized form, using dimensionless normal coordinates where [a, a + ] = 1.

The correlation function for vibrational relaxation ⟨QQ(t)⟩ can be written in second quantized form, using dimensionless normal coordinates Q=(a + a)/2,

where [a, a⁺] = 1. (a) Show that the Heisenberg representations of the operators a and a⁺ are

Q=(a + a)/2,

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