DOI: 10.1017/s0305004100015255. On the Quantum Theory of the Problem of the Two Bodies

On the Quantum Theory of the Problem of the Two Bodies

10.1017/s0305004100015255

Crossref journal-article

Cambridge University Press (CUP)

Mathematical Proceedings of the Cambridge Philosophical Society (56)

Abstract

The problem of the two bodies has been treated on the new mechanics by Dirac, Pauli, and Schrödinger, who have independently derived the Balmer terms. The present paper is an attempt at a more complete solution. In particular, formulae are derived for the line intensities of the hydrogen spectrum, for the photoelectric effect and its inverse, and for the continuous absorption spectrum in the ultraviolet and in the X-ray regions. Also the probabilities of transition, deflection and capture are computed for the collision of an electron and an ion. Numerical values are only obtained, however, for the simplest line intensities. It is hoped to treat the problem in greater detail.

Bibliography

Oppenheimer, J. R. (1926). On the Quantum Theory of the Problem of the Two Bodies. Mathematical Proceedings of the Cambridge Philosophical Society, 23(4), 422â431.

Authors 1

J. R. Oppenheimer (first)

References 16 Referenced 6

{'key': 'S0305004100015255_ref013', 'volume-title': 'Modern Analysis', 'author': 'Whittaker'} / Modern Analysis by Whittaker
{'key': 'S0305004100015255_ref012', 'volume-title': 'Differential-gleichungen', 'author': 'Schlesinger', 'year': '1922'} / Differential-gleichungen by Schlesinger (1922)
10.1007/BF01328531
I am much indebted to Dr P. A. M. Dirac for suggesting this procedure.
10.1007/BF01397477
10.1098/rspa.1926.0034
10.1007/BF01450175
10.1002/andp.19263840404
10.1080/14786442508628552
10.1002/andp.19263840804
The intensities of the hydrogen lines have been investigated by Pauli in a paper not yet published.
I am indebted to Mr J. T. Edsahl for checking these calculations.
10.1103/PhysRev.27.383
10.1080/14786442308565244
This is impossible if one neglects transitions.
{'key': 'S0305004100015255_ref004', 'volume-title': 'Intensities of Spectral Lines', 'author': 'Kramers', 'year': '1919'} / Intensities of Spectral Lines by Kramers (1919)

Dates

Type	When
Created	16 years, 9 months ago (Nov. 7, 2008, 11:06 a.m.)
Deposited	6 years, 2 months ago (June 9, 2019, 4:06 p.m.)
Indexed	1 year, 8 months ago (Nov. 24, 2023, 6:57 a.m.)
Issued	98 years, 10 months ago (Oct. 1, 1926)
Published	98 years, 10 months ago (Oct. 1, 1926)
Published Online	16 years, 9 months ago (Oct. 24, 2008)
Published Print	98 years, 10 months ago (Oct. 1, 1926)

Funders 0

None

BibTeX

@article{Oppenheimer_1926, title={On the Quantum Theory of the Problem of the Two Bodies}, volume={23}, ISSN={1469-8064}, url={http://dx.doi.org/10.1017/s0305004100015255}, DOI={10.1017/s0305004100015255}, number={4}, journal={Mathematical Proceedings of the Cambridge Philosophical Society}, publisher={Cambridge University Press (CUP)}, author={Oppenheimer, J. R.}, year={1926}, month=oct, pages={422–431} }

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