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Integrals of Products of Bessel Functions: An Insight from the Physics of Bloch Electrons

Integrals of Products of Bessel Functions: An Insight from the Physics of Bloch Electrons

Integrals of products of Bessel functions exhibit an intriguing feature: under certain conditions on the parameters specifying the integrand, they vanish identically. We provide a physical interpretation of this feature in the context of both single-particle and many-body properties of electrons on a lattice ("Bloch electrons"), namely, in terms of …