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Contribution of the Coherent Quasiboson-Approximation Modes to Ground-State Correlations

João da Providência

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Abstract

It is well known that the random-phase approximation (RPA) overestimates correlation effects. This shows that the RPA assumptions are at least partially violated, and constitutes a serious difficulty. In order to understand the origin of this difficulty, we have performed a calculation of the correlation energy of the electron gas by a version of the RPA dealing only with collective excitations. As expected, it was found that the modified RPA is free of the error of the conventional RPA, showing that this error is connected with the noncollective RPA modes.

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What this paper is about

It is well known that the random-phase approximation (RPA) overestimates correlation effects. This shows that the RPA assumptions are at least partially violated, and constitutes a serious difficulty. In order to understand the origin of this difficulty, we have performed a calculation of the correlation energy of the electron gas by a version of the RPA dealing only with collective excitations. As expected, it was found that the modified RPA is free of the error of the conventional RPA, showing that this error is connected with the noncollective RPA modes.

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Available abstract

It is well known that the random-phase approximation (RPA) overestimates correlation effects. This shows that the RPA assumptions are at least partially violated, and constitutes a serious difficulty. In order to understand the origin of this difficulty, we have performed a calculation of the correlation energy of the electron gas by a version of the RPA dealing only with collective excitations. As expected, it was found that the modified RPA is free of the error of the conventional RPA, showing that this error is connected with the noncollective RPA modes.

Key concepts: Random phase approximation, Physics, Ground state, Statistical physics, Energy (signal processing), Quasiparticle, Quantum mechanics, Order (exchange)

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