Eigenvalue asymptotics for the one-particle kinetic energy density operator
نویسندگان
چکیده
The kinetic energy of a multi-particle system is described by the one-particle density matrix τ(x,y). Alongside γ(x,y) it one key objects in quantum-mechanical approximation schemes. We prove asymptotic formula λk∼(Bk)−2, B⩾0, as k→∞, for eigenvalues λk self-adjoint operator T⩾0 with kernel
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2022
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109604