Sommerfeld formula and Dirac's theory

Issues

Ya.I. Granovskii
Institute of Mining Processes Physics, National Academy of Sciences of Ukraine, R. Lyuksemburg str. 72, Donetsk, 83114, Ukraine

A mistake by A Sommerfeld is shown to explain the surprising agreement between his and Dirac’s fine-structure formulae.

PACS: 01.65.+g, 03.65.Pm, 03.65.Sq (all)
DOI: 10.1070/PU2004v047n05ABEH001885
URL: https://ufn.ru/en/articles/2004/5/g/
Web of Science

2004PhyU...47..523G
Citation: Granovskii Ya I "Sommerfeld formula and Dirac's theory" Phys. Usp. 47 523–524 (2004)

References (16) ↓ Cited by (10) Similar articles (11)

Michelson A A Philos. Mag. 24 466 (1887); Michelson A A Philos. Mag. 31 338 (1891)
Bohr N Philos. Mag. 26 1 (1913)
Sommerfeld A Phys. Z. 17 491 (1916); Sommerfeld A Ann. Physik 51 1 (1916); Zommerfel’d A Stroenie Atoma i Spektry T. 1 (M.: GITTL, 1956)
Wilson W Philos. Mag. 29 795 (1915)
Ehrenfest P Ann. Physik 51 327 (1916)
Dirac P A M Sci. Am. 208 (5) 45 (1963)
Heisenberg W, Jordan P Z. Phys. 37 263 (1926)
Darwin C G Proc. R. Soc. London A 116 22 (1927)
Lamb W E (Jr.), Retherford R C Phys. Rev. 72 241 (1947)
Darwin C G Proc. R. Soc. London A 118 227 (1928)
Gordon W Z. Phys. 48 11 (1928)
Yourgrau W, Mandelstam S Variational Principles In Dynamics And Quantum Theory 3rd Ed. (Philadelphia: Saunders, 1968)
Vainberg S Kvantovaya Teoriya Polya T. 1 (M.: Fizmatlit, 2003)
Brillyuen L Atom Bora (M.-L.: ONTI, 1935); De Broili L Magnitnyi Elektron (M.-L.: ONTI, 1936)
Heisenberg W Phys. Blatt. 24 530 (1968); Perevod na russkii yazyk v sb., Zommerfel’d A Puti Poznaniya v Fizike (M.: Nauka, 1973)
Biedenharn L C Phys. Rev. 126 845 (1962); Biedenharn L C, Swamy N V V J Phys. Rev. 133 B1353 (1964)