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Methodological notes


Translation invariance and the problem of the bipolaron


Institute of Mathematical Problems of Biology, Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Prof. Vitkevich str. 1, Pushchino, Moscow Region, 142290, Russian Federation

Differences between translation-invariant and broken-symmetry bipolaron theories are analyzed in detail. It is shown that the Bogolyubov-Tyablikov canonical transformation allows collective coordinates to be introduced in a regular way for two particles in a quantum field and that for the case of the bipolaron the resulting electron-electron interaction in a phonon field depends on the electron coordinate difference alone. Predictions using a revised solution of the nonlinear differential equations for a bipolaron are given. It is shown that solving bipolaron equations numerically reduces the total bipolaron energies compared to known variational results.

Fulltext pdf (128 KB)
Fulltext is also available at DOI: 10.1070/PU1998v041n04ABEH000385
PACS: 71.38.+i
DOI: 10.1070/PU1998v041n04ABEH000385
URL: https://ufn.ru/en/articles/1998/4/d/
000074653300004
Citation: Lakhno V D "Translation invariance and the problem of the bipolaron" Phys. Usp. 41 403–406 (1998)
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Оригинал: Лахно В Д «Трансляционная инвариантность и проблема биполярона» УФН 168 465–469 (1998); DOI: 10.3367/UFNr.0168.199804d.0465

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