# On spectral properties of the one-particle density matrix

Alexander Sobolev (University College London)
Mathematics seminar
Tirsdag, 13 oktober, 2020, at 16:15, via zoom (see seminar series homepage)
Beskrivelse:

The one-particle density matrix $\gamma(x; y)$ is one of the key objects in the quantum-mechanical approximation schemes. The self-adjoint operator $\Gamma$ with the kernel $\gamma(x; y)$ is trace class but a sharp estimate on the decay of its eigenvalues was unknown. In this talk I will present a sharp bound and an asymptotic formula for the eigenvalues of $\Gamma$.