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On spectral properties of the one-particle density matrix

Alexander Sobolev (University College London)
Mathematics Seminar
Tuesday, 13 October, 2020 | 16:15– | Zoom

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 $\Gamma$.

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Organised by: SQM