DOI: 10.1063/1.1669858. Adiabatic Approximation for Nonreactive, Subexcitation, Molecular Collisions

Adiabatic Approximation for Nonreactive, Subexcitation, Molecular Collisions

10.1063/1.1669858

Crossref journal-article

AIP Publishing

The Journal of Chemical Physics (317)

Abstract

The decoupling approximation, which neglects the interaction between open and closed channels, is discussed and derived from the Lippmann–Schwinger variational principle. The adiabatic approximation is shown to be the “best local” decoupling approximation in that the adiabatic phase shift is the highest lower bound to the exact phase shift obtainable from a local potential.

Bibliography

Levine, R. D. (1968). Adiabatic Approximation for Nonreactive, Subexcitation, Molecular Collisions. The Journal of Chemical Physics, 49(1), 51â55.

Authors 1

R. D. Levine (first)

References 37 Referenced 54

10.1063/1.1840390 / J. Chem. Phys. (1967)
10.1103/PhysRev.156.12 / Phys. Rev. (1967)
10.1103/PhysRev.162.98 / Phys. Rev. (1967)
10.1103/PhysRev.162.88 / Phys. Rev. (1967)
10.1016/0009-2614(67)85009-7 / Chem. Phys. Letters (1967)
10.1016/0009-2614(68)80006-5 / Chem. Phys. Letters (1968)
10.1063/1.1669859 / J. Chem. Phys. (1968)
10.1080/00268976400100521 / Mol. Phys. (1964)
10.1063/1.1728041 / J. Chem. Phys. (1966)
{'key': '2024020903410558200_r8'}
10.1103/PhysRev.146.61 / Phys. Rev. (1966)
10.1103/PhysRev.105.1388 / Phys. Rev. (1957)
10.1103/PhysRev.113.198 / Phys. Rev. (1959)
10.1016/0003-4916(60)90119-6 / Ann. Phys. (N.Y.) (1960)
10.1016/0003-4916(62)90221-X / Ann. Phys. (N.Y.) (1962)
10.1103/PhysRev.38.277 / Phys. Rev. (1931)
{'key': '2024020903410558200_r14', 'first-page': '249', 'volume': '12', 'year': '1949', 'journal-title': 'Rept. Progr. Phys.'} / Rept. Progr. Phys. (1949)
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{'key': '2024020903410558200_r16'}
10.1103/PhysRev.79.469 / Phys. Rev. (1950)
{'key': '2024020903410558200_r18', 'first-page': '467', 'volume': 'A294', 'year': '1966', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1966)
{'key': '2024020903410558200_r19'}
{'key': '2024020903410558200_r20'}
10.1103/PhysRev.128.932 / Phys. Rev. (1962)
10.1103/PhysRev.134.B397 / Phys. Rev. (1964)
{'key': '2024020903410558200_r23'}
{'key': '2024020903410558200_r24'}
{'key': '2024020903410558200_r25', 'first-page': '437', 'volume': 'A216', 'year': '1953', 'journal-title': 'Proc. Roy. Soc. (London)'} / Proc. Roy. Soc. (London) (1953)
10.1063/1.1701073 / J. Chem. Phys. (1961)
10.1063/1.1734459 / J. Chem. Phys. (1963)
10.1063/1.1695854 / J. Chem. Phys. (1965)
{'key': '2024020903410558200_r25d', 'first-page': '607', 'volume': '18a', 'year': '1963', 'journal-title': 'Z. Naturforsch.'} / Z. Naturforsch. (1963)
10.1063/1.1726329 / J. Chem. Phys. (1964)
10.1063/1.1727528 / J. Chem. Phys. (1966)
{'key': '2024020903410558200_r26'}
{'key': '2024020903410558200_r27'}
{'key': '2024020903410558200_r28'}

Dates

Type	When
Created	21 years, 6 months ago (Feb. 6, 2004, 2:22 p.m.)
Deposited	1 year, 6 months ago (Feb. 8, 2024, 10:45 p.m.)
Indexed	1 year, 6 months ago (Feb. 10, 2024, 7:34 p.m.)
Issued	57 years, 2 months ago (July 1, 1968)
Published	57 years, 2 months ago (July 1, 1968)
Published Print	57 years, 2 months ago (July 1, 1968)

Funders 0

None

BibTeX

@article{Levine_1968, title={Adiabatic Approximation for Nonreactive, Subexcitation, Molecular Collisions}, volume={49}, ISSN={1089-7690}, url={http://dx.doi.org/10.1063/1.1669858}, DOI={10.1063/1.1669858}, number={1}, journal={The Journal of Chemical Physics}, publisher={AIP Publishing}, author={Levine, R. D.}, year={1968}, month=jul, pages={51–55} }

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