  The spectra of the second quantization and the symmetric second quantization
of a strict Hilbert space contraction are computed explicitly and shown to
coincide. As an application, we compute the spectrum of the nonsymmetric
Ornstein-Uhlenbeck operator $L$ associated with the infinite-dimensional
Langevin equation $$ dU(t) = AU(t)dt + dW(t), $$ where $A$ is the generator of
a strongly continuous semigroup on a Banach space $E$ and $W$ is a cylindrical
Wiener process in $E$. In the case of a finite-dimensional space $E$ we recover
the recent Metafune-Pallara-Priola formula for the spectrum of $L$.
