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Cited by 321

The DOI matches its Crossref record; 13 of the 13 references it cites were found in a registry or an index.

Harmonic-Potential Theorem: Implications for Approximate Many-Body Theories

Dobson, John F.·1994·Physical Review Letters
DOI 10.1103/physrevlett.73.2244
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Abstract

We consider interacting particles in an external harmonic potential. We extend the $B=0$ case of the generalized Kohn theorem, giving a "harmonic-potential theorem" (HPT), demonstrating rigid, arbitrary-amplitude, time-oscillatory Schr\"odinger transport of a many-body eigenfunction. We show analytically that the time-dependent local-density approximation (TDLDA) satisfies the HPT exactly. Other approximations, such as linearized TDLDA with frequency-dependent exchange correlation kernel and certain inhomogeneous hydrodynamic formalisms, do not. A simple modification permits such explicitly frequency-dependent local theories to satisfy the HPT, however.

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Metadata

Authors
Dobson, J. F.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1994-10-17
Volume
73
Issue
16
Pages
2244-2247
ISSN
0031-9007 (ISSN-L)
DOI
10.1103/physrevlett.73.2244
OpenAlex
W2001776153
Cited by
321
References
13
FWCI
4.15
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Harmonic-Potential Theorem: Implications for Approximate Many-Body Theories. https://app.cochat.ai/papers/10.1103/physrevlett.73.2244
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Dobson, J. F. (1994). Harmonic-Potential Theorem: Implications for Approximate Many-Body Theories. Physical Review Letters. https://doi.org/10.1103/physrevlett.73.2244

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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