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Perturbation Theory

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Springer Handbook of Atomic, Molecular, and Optical Physics

Part of the book series: Springer Handbooks ((SHB))

Abstract

Perturbation theory (PT) represents one of the bridges that takes us from a simpler, exactly solvable (unperturbed) problem to a corresponding real (perturbed) problem by expressing its solutions as a series expansion in a suitably chosen “small” parameter ε in such a way that the problem reduces to the unperturbed problem when ε = 0. It originated in classical mechanics and eventually developed into an important branch of applied mathematics enabling physicists and engineers to obtain approximate solutions of various systems of differential equations [5.1,2,3,4]. For the problems of atomic and molecular structure and dynamics, the perturbed problem is usually given by the time-independent or time-dependent Schrödinger equation [5.5,6,7,8].

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Abbreviations

BW:

Brillouin-Wigner

CC:

coupled cluster

CCD:

coupled cluster doubles

DODS:

different orbitals for different spins

EOM:

equation of motion

HF:

Hartree-Fock equations

MBPT:

many-body perturbation theory

MR:

multireference

PT:

perturbation theory

RSPT:

Rayleigh-Schrödinger perturbation theory

UHF:

unrestricted Hartree-Fock

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Waterloo, 200 University Avenue West, N2L 3G1, Waterloo, ON, Canada

    Josef Paldus

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  1. Josef Paldus
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Correspondence to Josef Paldus .

Editor information

Editors and Affiliations

  1. Department of Physics, University of Windsor, 401 Sunset St., N9B 3P4, Windsor, ON, Canada

    Gordon Drake Prof.

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© 2006 Springer-Verlag

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Paldus, J. (2006). Perturbation Theory. In: Drake, G. (eds) Springer Handbook of Atomic, Molecular, and Optical Physics. Springer Handbooks. Springer, New York, NY. https://doi.org/10.1007/978-0-387-26308-3_5

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