Algebraic Approach to the Born-Oppenheimer Approximation

Yakir Aharonov; Sandu Popescu; Daniel Rohrlich

doi:10.1142/S0217732393003421

Algebraic Approach to the Born-Oppenheimer Approximation

Yakir Aharonov, Sandu Popescu, Daniel Rohrlich

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

Abstract

In the algebraic approach to the Born-Oppenheimer approximation, equations in the algebra of physical operators yield the induced vector and scalar potentials; eigenstates are never needed. The “slow” variables need not commute. In the classical analog, the Poisson bracket replaces the commutator. A non-adiabatic extension is indicated.

Original language	English GB
Pages (from-to)	3691-3700
Number of pages	10
Journal	Modern Physics Letters A
Volume	8
Issue number	39
DOIs	https://doi.org/10.1142/S0217732393003421
State	Published - 1993
Externally published	Yes

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title = "Algebraic Approach to the Born-Oppenheimer Approximation",

abstract = "In the algebraic approach to the Born-Oppenheimer approximation, equations in the algebra of physical operators yield the induced vector and scalar potentials; eigenstates are never needed. The “slow” variables need not commute. In the classical analog, the Poisson bracket replaces the commutator. A non-adiabatic extension is indicated.",

author = "Yakir Aharonov and Sandu Popescu and Daniel Rohrlich",

year = "1993",

doi = "10.1142/S0217732393003421",

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T1 - Algebraic Approach to the Born-Oppenheimer Approximation

AU - Aharonov, Yakir

AU - Popescu, Sandu

AU - Rohrlich, Daniel

PY - 1993

Y1 - 1993

N2 - In the algebraic approach to the Born-Oppenheimer approximation, equations in the algebra of physical operators yield the induced vector and scalar potentials; eigenstates are never needed. The “slow” variables need not commute. In the classical analog, the Poisson bracket replaces the commutator. A non-adiabatic extension is indicated.

AB - In the algebraic approach to the Born-Oppenheimer approximation, equations in the algebra of physical operators yield the induced vector and scalar potentials; eigenstates are never needed. The “slow” variables need not commute. In the classical analog, the Poisson bracket replaces the commutator. A non-adiabatic extension is indicated.

U2 - 10.1142/S0217732393003421

DO - 10.1142/S0217732393003421

M3 - מאמר

SN - 0217-7323

VL - 8

SP - 3691

EP - 3700

JO - Modern Physics Letters A

JF - Modern Physics Letters A

IS - 39

ER -

Algebraic Approach to the Born-Oppenheimer Approximation

Abstract

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