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RESEARCH PRODUCT

Evolution of a Quantum System: Lifetime of a Determinant

James J. GriffinP.c. Lichtner

subject

Many-body problemPhysicsUncertainty principleQuantum mechanicsProduct (mathematics)Quantum systemHartree–Fock methodGeneral Physics and AstronomySlater determinantStatistical physicsWave functionMeasure (mathematics)

description

A measure of the ''dependency'' of a many-particle system is defined and its time dependence is evaluated for systems initially described by a single Slater determinant. An uncertainty product between the energy spread of the initial determinant and the lifetime of a system's independence is established. Numerical estimates of some lifetimes are given. They are not so long as to be reassuring for nuclear time-dependent Hartree--Fock calculations. Each separate case ought to be checked. 1 table.

https://doi.org/10.1103/physrevlett.37.1521