DOI: 10.1017/s030500410001402x. The Quantum Theory of electronic scattering by Helium

The Quantum Theory of electronic scattering by Helium

10.1017/s030500410001402x

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

The problem of the collision between an electron and an atom was first considered on the Quantum theory by Born, who has worked out in detail the case of atomic hydrogen, and has obtained formulae giving the variation of scattering with angle both for elastic and inelastic collisions. Born's solution is only approximate. The purpose of this note is to discuss the physical nature of the approximations used by him, and also to extend his results to Helium, for which experimental evidence is now available. It is found that the theoretical curve agrees with the experimental as well as the approximations used would lead one to expect. We shall confine ourselves to elastic collisions.

Bibliography

Mott, N. F. (1929). The Quantum Theory of electronic scattering by Helium. Mathematical Proceedings of the Cambridge Philosophical Society, 25(3), 304â309.

Authors 1

N. F. Mott (first)

References 13 Referenced 24

{'key': 'S030500410001402X_ref003', 'first-page': '571', 'volume': 'CXII', 'author': 'Dymond', 'year': '1928', 'journal-title': 'Proc. Roy. Soc.'} / Proc. Roy. Soc. by Dymond (1928)
10.1017/S0305004100011208
Göttinger Nachrichten. p. 146 (1926), referred to as loc. cit.
Born, loc. cit. Equation (23).
In these units, the unit of length, which is all that concerns us, is h2/4π2mε2.
10.1007/BF01397184
Born , loc. cit. Equation (8).
{'key': 'S030500410001402X_ref013', 'first-page': '544', 'volume': 'CXVIII', 'author': 'Mott', 'year': '1928', 'journal-title': 'Proc. Roy. Soc.'} / Proc. Roy. Soc. by Mott (1928)
10.1017/S0305004100011919
10.1007/BF01343053
This curve gives the classical scattering by the field V(r). The calculations were carried out by Dymond. I am very much indebted to him for providing me with this curve, and also for informing me of his experimental results.
Cf. Faxen and Holtzmark , loc. cit.;
10.1103/PhysRev.32.361

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 11:05 a.m.)
Deposited	6 years, 2 months ago (June 9, 2019, 3:40 p.m.)
Indexed	1 year, 6 months ago (Feb. 8, 2024, 7:26 a.m.)
Issued	96 years, 1 month ago (July 1, 1929)
Published	96 years, 1 month ago (July 1, 1929)
Published Online	16 years, 9 months ago (Oct. 24, 2008)
Published Print	96 years, 1 month ago (July 1, 1929)

Funders 0

None

BibTeX

@article{Mott_1929, title={The Quantum Theory of electronic scattering by Helium}, volume={25}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s030500410001402x}, DOI={10.1017/s030500410001402x}, number={3}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Mott, N. F.}, year={1929}, month=jul, pages={304–309} }

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