Eigenvalue asymptotics for the one-particle kinetic energy density operator

摘要

© 2022 The AuthorThe kinetic energy of a multi-particle system is described by the one-particle kinetic energy density matrix τ(x,y). Alongside the one-particle density matrix γ(x,y) it is one of the key objects in the quantum-mechanical approximation schemes. We prove the asymptotic formula λk∼(Bk)−2, B⩾0, as k→∞, for the eigenvalues λk of the self-adjoint operator T⩾0 with kernel τ(x,y).