### Abstract

A local approximation to the second-order optical potential for elastic scattering of low-energy electrons from ground-state atoms is expressed in terms of the imaginary-frequency susceptibilities of the atom due to a point charge and to modified perturbing potentials. This provides a basis for the physically appealing concept of regarding the perturbation due to the projectile as having a position-dependent effective frequency associated with it. The result is extended to higher energies with the use of the concept of a local kinetic energy. With a semiclassical approximation the result reduces to a simple general form that should be useful for model potential studies of electron-atom and electron-molecule scattering. Alternatively, variational functionals for the susceptibilities can be used to calculate the approximate optical potential most rigorously without making effective-frequency, average-kinetic-energy, or semiclassical approximations. Intermediate levels of rigor are also possible.

Original language | English (US) |
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Pages (from-to) | 3003-3014 |

Number of pages | 12 |

Journal | Physical Review A |

Volume | 25 |

Issue number | 6 |

DOIs | |

State | Published - Jan 1 1982 |

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*Physical Review A*,

*25*(6), 3003-3014. https://doi.org/10.1103/PhysRevA.25.3003

**Localized second-order optical potential for electron scattering in terms of imaginary-frequency susceptibilities.** / Valone, Steven M.; Truhlar, Donald G.; Thirumalai, Devarajan.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 25, no. 6, pp. 3003-3014. https://doi.org/10.1103/PhysRevA.25.3003

}

TY - JOUR

T1 - Localized second-order optical potential for electron scattering in terms of imaginary-frequency susceptibilities

AU - Valone, Steven M.

AU - Truhlar, Donald G.

AU - Thirumalai, Devarajan

PY - 1982/1/1

Y1 - 1982/1/1

N2 - A local approximation to the second-order optical potential for elastic scattering of low-energy electrons from ground-state atoms is expressed in terms of the imaginary-frequency susceptibilities of the atom due to a point charge and to modified perturbing potentials. This provides a basis for the physically appealing concept of regarding the perturbation due to the projectile as having a position-dependent effective frequency associated with it. The result is extended to higher energies with the use of the concept of a local kinetic energy. With a semiclassical approximation the result reduces to a simple general form that should be useful for model potential studies of electron-atom and electron-molecule scattering. Alternatively, variational functionals for the susceptibilities can be used to calculate the approximate optical potential most rigorously without making effective-frequency, average-kinetic-energy, or semiclassical approximations. Intermediate levels of rigor are also possible.

AB - A local approximation to the second-order optical potential for elastic scattering of low-energy electrons from ground-state atoms is expressed in terms of the imaginary-frequency susceptibilities of the atom due to a point charge and to modified perturbing potentials. This provides a basis for the physically appealing concept of regarding the perturbation due to the projectile as having a position-dependent effective frequency associated with it. The result is extended to higher energies with the use of the concept of a local kinetic energy. With a semiclassical approximation the result reduces to a simple general form that should be useful for model potential studies of electron-atom and electron-molecule scattering. Alternatively, variational functionals for the susceptibilities can be used to calculate the approximate optical potential most rigorously without making effective-frequency, average-kinetic-energy, or semiclassical approximations. Intermediate levels of rigor are also possible.

UR - http://www.scopus.com/inward/record.url?scp=35949019806&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35949019806&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.25.3003

DO - 10.1103/PhysRevA.25.3003

M3 - Article

AN - SCOPUS:35949019806

VL - 25

SP - 3003

EP - 3014

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 6

ER -