Explicit Spectral Analysis for Operators Representing the unitary group $\mathbb{U}(d)$ and its Lie algebra $\mathfrak{u}(d)$ through the Metaplectic Representation and Weyl Quantization

Fabián Belmonte, Giuseppe de Nittis

In this article we compute and analyze the spectrum of operators defined by the metaplectic representation $\hat{I}¼$ on the unitary group $\mathbb{U}(d)$ or operators defined by the cor…