Born-oppenheimer revisited

Y. Aharonov; E. Ben-Reuven; S. Popescu; D. Rohrlich

doi:10.1016/0550-3213(91)90164-S

Born-oppenheimer revisited

Y. Aharonov, E. Ben-Reuven, S. Popescu, D. Rohrlich

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

An algebraic approach to solving degenerate perturbation theory is exhibited. This approach is used to solve the canonical Berry phase problem in the Born-Oppenheimer approximation, as well as the analogous classical problem. The show variables need not commute. Non-abelian phases and field theory anomalies are treated as examples. A non-adiabatic extension is suggested.

Original language	English
Pages (from-to)	818-830
Number of pages	13
Journal	Nuclear Physics B
Volume	350
Issue number	3
DOIs	https://doi.org/10.1016/0550-3213(91)90164-S
State	Published - 25 Feb 1991
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0550-3213(91)90164-S

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title = "Born-oppenheimer revisited",

abstract = "An algebraic approach to solving degenerate perturbation theory is exhibited. This approach is used to solve the canonical Berry phase problem in the Born-Oppenheimer approximation, as well as the analogous classical problem. The show variables need not commute. Non-abelian phases and field theory anomalies are treated as examples. A non-adiabatic extension is suggested.",

author = "Y. Aharonov and E. Ben-Reuven and S. Popescu and D. Rohrlich",

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AU - Aharonov, Y.

AU - Ben-Reuven, E.

AU - Popescu, S.

AU - Rohrlich, D.

PY - 1991/2/25

Y1 - 1991/2/25

N2 - An algebraic approach to solving degenerate perturbation theory is exhibited. This approach is used to solve the canonical Berry phase problem in the Born-Oppenheimer approximation, as well as the analogous classical problem. The show variables need not commute. Non-abelian phases and field theory anomalies are treated as examples. A non-adiabatic extension is suggested.

AB - An algebraic approach to solving degenerate perturbation theory is exhibited. This approach is used to solve the canonical Berry phase problem in the Born-Oppenheimer approximation, as well as the analogous classical problem. The show variables need not commute. Non-abelian phases and field theory anomalies are treated as examples. A non-adiabatic extension is suggested.

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DO - 10.1016/0550-3213(91)90164-S

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VL - 350

SP - 818

EP - 830

JO - Nuclear Physics B

JF - Nuclear Physics B

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Born-oppenheimer revisited

Abstract

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