ALGEBRAIC APPROACH TO THE BORN-OPPENHEIMER APPROXIMATION

Y  AHARONOV; S  POPESCU; D  ROHRLICH

ALGEBRAIC APPROACH TO THE BORN-OPPENHEIMER APPROXIMATION

Y AHARONOV
, S POPESCU
, D ROHRLICH

School of Physics

Research output: Contribution to journal › Article (Academic Journal) › 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
Pages (from-to)	3691-3700
Number of pages	10
Journal	Modern Physics Letters A
Volume	8
Issue number	39
Publication status	Published - 21 Dec 1993

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@article{7502c9f7f6e54f5d9dab4ec6bbd61bb4,

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 = "Y AHARONOV and S POPESCU and D ROHRLICH",

year = "1993",

month = dec,

day = "21",

language = "English",

volume = "8",

pages = "3691--3700",

journal = "Modern Physics Letters A",

issn = "0217-7323",

publisher = "World Scientific Publishing Co.",

number = "39",

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T1 - ALGEBRAIC APPROACH TO THE BORN-OPPENHEIMER APPROXIMATION

AU - AHARONOV, Y

AU - POPESCU, S

AU - ROHRLICH, D

PY - 1993/12/21

Y1 - 1993/12/21

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.

M3 - Article (Academic Journal)

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

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