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  1. J.O.S.A. & R.S.I., 14, p. 108; 1927. The present section on quantum mechanics is essentially an extension of that in last year's report, and so can advantageously be read in conjunction with this.
  2. Dirac, Proc. Roy. Soc., 113A, p. 621; 1927.
  3. Jordan, ZS. f. Phys., 40, p. 809; 1926; and 41, p, 797; 1927. Non-mathematical surveys of the statistical aspects of the new interpretation of the quantum mechanics have been given by Born, Nature, 119, p. 354; 1927; and Jordan, Ibid., 119, p. 566; 1927. An excellent critique is given by Heisenberg (ref. 7 below) and a good survey of the whole quantum theory has been written by Jordan in die Naturwissenschaften, 15; p. 614 and p. 636; 1927. Modifications in the Dirac-Jordan theory which are necessary when applying it to dynamical variables which assume discrete rather than continuous values are given by Jordan in ZS. f. Phys., 44, p. 1; 1927. Mathematical amplifications of the theory have been developed by Hilbert, Neumann, and Nordheim, Math. Ann., 98, p. 1; 1927; Neumann, Göttingen Nachrichten, May 20, 1927; Weyl, ZS. f. Phys., 46, p. 1; 1927. Applications to special simple types of motion have been considered by Kennard, ZS. f. Phys., 44, p. 326, 1927.
  4. Heisenberg, ZS. f. Phys., 40, p. 501; 1926. See also Jordan, Ibid., 40, p. 661; 1926.
  5. London, ZS. f. Phys., 40, p. 193; 1926.
  6. Pauli, mostly unpublished. See, however, ZS. f. Phys., 41, p. 81; 1927.
  7. Heisenberg, ZS. f. Phys, 43, p. 172; 1927.
  8. Dirac, Proc. Roy. Soc., 114A, p. 243; 1927.
  9. Born, ZS. f. Phys., 38, p. 803; 1926.
  10. Dirac, Proc. Roy. Soc., 114A p. 243, and p. 710; 1927; ZS. f. Phys., 44, p. 585; 1927.
  11. Dirac, Proc. Roy. Soc., 112A, p. 661; 1926; also preceding reference.
  12. Born, ZS. f. Phys., 40, p. 167; 1926.
  13. Slater, Proc. Nat. Acad. Sci., 13, p. 7 and p. 104; 1927.
  14. Schroedinger, Ann. der Phys., 81, p. 109; 1926; 82, p. 265; 1927. Gordon, ZS. f. Phys., 40, p. 117; 1926. Madelung, ZS. f. Phys., 40, p. 322; 1926. Klein, ZS. f. Phys., 41, p. 407; 1926. Debye, Phys. Zeits., 28, p. 170; 1927. Bateman, Phys. Rev., 30, p. 55; 1927. Darwin, Proc. Roy. Soc., 116A, p. 227; 117A, p. 258; 1927.
  15. VanVleck, Proc. Nat. Acad. Sci., Feb. 1928 and references.
  16. Brillouin, Journal de Physique, 8, p. 74; 1927. Darwin, Proc. Roy. Soc., 115A, p. 1; 1927. Epstein, Proc. Nat. Acad. Sci., 13, p. 232 and p. 432; 1927. Fues, Ann. der Phys., 81, p. 281; 1926. Kronig and Rabi, Phys. Rev., 29, p. 262; 1927. Manneback, Phys. Zeits., 28, p. 72; 1927. Pauli, ZS. f. Phys., 43, p. 601; 1927. Reiche, ZS. f. Phys., 39, p. 444; 1926; Rademacher and Reiche, Ibid., 41, p. 453; 1927. Richter, Proc. Nat. Acad. Sci., 13, p. 476; 1927.
  17. Oppenheimer, ZS. f. Phys., 41, p. 268; 1927. Sugiura, Journal de Physique, 8, p. 113; 1927.
  18. Heisenberg, ZS. f. Phys., 39, p. 499; 1926.
  19. Sugiura, ZS. f. Phys., 44, p. 190; 1927.
  20. Slater, Proc. Nat. Acad. Sci., 13, p. 423; 1927,
  21. Kellner, ZS. f. Phys., 44, p. 91; 1927.
  22. Burrau, Det. Kgl. Danske Vid. Selskad; Math.-fys. Medd., 7, No. 14; 1927.
  23. Condon, Proc. Nat. Acad. Sci., 13, p. 466; 1927.
  24. Sugiura, ZS. f. Phys., 45, p. 484; 1927.
  25. Wang. Phys. Rev., April 1928.
  26. Unsöld, Ann. der Phys., 82, p. 355; 1927.
  27. Sugiura and Urey, Det. Kgl. Danske Vid. Selskad; Math.-fys. Medd., 7, No. 13; 1927.
  28. Sugiura, Phil. Mag., 4, 495; 1927.
  29. Slater, Phys. Rev., 31, p. 333; 1928.
  30. Kramers, ZS. f. Phys., 39, p. 828; 1926.
  31. Hund, ZS. f. Phys., 40, p. 742; 1926; 42, p. 93; 1927; 43, p. 805; 1927.
  32. Heitler and London, ZS. f. Phys., 44, p. 455; 1927.
  33. London, ZS. f. Phys., 46, p. 455; 1928.
  34. Condon, Proc. Nat. Acad. Sci., 13, p. 462; 1927.
  35. Franck, Trans. Faraday Soc., 1925.
  36. Dennison, Proc. Roy. Soc., 115A, p. 483; 1927.
  37. Heisenberg, ZS. f. Phys., 41, p. 239; 1927; also Hund, ref. 31 and ZS. f. Phys., 43, p. 788; 1927; Wigner, ZS. f. Phys., 40, p. 492, 883; 43, p. 624 and 45, p. 601; 1927.
  38. As a simple illustration of Born’s theory, collisions with a rotating dipole have been discussed by Fermi, ZS. f. Phys., 40, p. 399; 1926.
  39. Born, Göttingen Nachrichten, p. 146; 1926.
  40. J.O.S.A. & R.S.I., 16, p. 57; 1928.
  41. Oppenheimer, ZS. f. Phys., 43, p. 27; 1927; Proc. Nat. Acad. Sci., 13, p. 800; 1927.
  42. Wentzel, ZS. f. Phys., 40, p, 590; 1926.
  43. De Broglie, Ondes et Mouvements, Paris 1927.
  44. Oppenheimer, ZS. f. Phys., 43, p. 413; 1927.
  45. Cf. Blackett, Proc. Cambr. Phil. Soc., 23, p. 698; 1927; also Oppenheimer, Phys. Rev., 31, p. 66; 1928.
  46. Gaunt, Proc. Cambr. Phil. Soc., 23, p. 732; 1927.
  47. Oppenheimer, Phys. Rev., 31, p. 349; 1928.
  48. Mensing, ZS. f. Phys., 45, p. 603; 1927; Oppenheimer, Proc. Nat. Acad. Sci., 14, p. 261; 1928.
  49. Dirac, Proc. Roy. Soc., 111A, p. 405; 1926; and Proc. Cambr. Phil. Soc., 23, p. 500; 1927. Gordon, ref. 14. Schroedinger, Ann. der Phys., 82, p. 257; 1927.
  50. Wentzel, ZS. f. Phys., 43, p. 1; and 43, p. 779; 1927.
  51. See references 56 of last year's report,1. also Brillouin, loc. cit.16., Kronig, Proc. Nat. Acad. Sci., 12, p. 608; 1926; ZS. f. Phys., 45, p. 458 and p. 508; 1927 (Kerr and Faraday effects); Manneback, ref. 16; Pauling, Proc. Roy. Soc., 114A, p. 181; Sommerfield and Laporte, ZS. f. Phys., 40, p. 333; 1926; VanVleck, Proc. Nat. Acad. Sci., 12, p. 662; 1926; Phys. Rev., 29, p. 727; 30, p. 31; 1927; also April 1928.
  52. Pauli, ZS. f. Phys., 41, p. 81; 1927.
  53. Sommerfeld, Naturwissenschaften, 15, p. 825, 1927; ZS. f. Phys. vol. 47. Pauli, ZS. f. Phys., 41, p. 81; 1927.

Blackett, Cf.

Cf. Blackett, Proc. Cambr. Phil. Soc., 23, p. 698; 1927; also Oppenheimer, Phys. Rev., 31, p. 66; 1928.

De Broglie,

De Broglie, Ondes et Mouvements, Paris 1927.

Nachrichten, Göttingen

Born, Göttingen Nachrichten, p. 146; 1926.

Other

J.O.S.A. & R.S.I., 14, p. 108; 1927. The present section on quantum mechanics is essentially an extension of that in last year's report, and so can advantageously be read in conjunction with this.

Dirac, Proc. Roy. Soc., 113A, p. 621; 1927.

Jordan, ZS. f. Phys., 40, p. 809; 1926; and 41, p, 797; 1927. Non-mathematical surveys of the statistical aspects of the new interpretation of the quantum mechanics have been given by Born, Nature, 119, p. 354; 1927; and Jordan, Ibid., 119, p. 566; 1927. An excellent critique is given by Heisenberg (ref. 7 below) and a good survey of the whole quantum theory has been written by Jordan in die Naturwissenschaften, 15; p. 614 and p. 636; 1927. Modifications in the Dirac-Jordan theory which are necessary when applying it to dynamical variables which assume discrete rather than continuous values are given by Jordan in ZS. f. Phys., 44, p. 1; 1927. Mathematical amplifications of the theory have been developed by Hilbert, Neumann, and Nordheim, Math. Ann., 98, p. 1; 1927; Neumann, Göttingen Nachrichten, May 20, 1927; Weyl, ZS. f. Phys., 46, p. 1; 1927. Applications to special simple types of motion have been considered by Kennard, ZS. f. Phys., 44, p. 326, 1927.

Heisenberg, ZS. f. Phys., 40, p. 501; 1926. See also Jordan, Ibid., 40, p. 661; 1926.

London, ZS. f. Phys., 40, p. 193; 1926.

Pauli, mostly unpublished. See, however, ZS. f. Phys., 41, p. 81; 1927.

Heisenberg, ZS. f. Phys, 43, p. 172; 1927.

Dirac, Proc. Roy. Soc., 114A, p. 243; 1927.

Born, ZS. f. Phys., 38, p. 803; 1926.

Dirac, Proc. Roy. Soc., 114A p. 243, and p. 710; 1927; ZS. f. Phys., 44, p. 585; 1927.

Dirac, Proc. Roy. Soc., 112A, p. 661; 1926; also preceding reference.

Born, ZS. f. Phys., 40, p. 167; 1926.

Slater, Proc. Nat. Acad. Sci., 13, p. 7 and p. 104; 1927.

Schroedinger, Ann. der Phys., 81, p. 109; 1926; 82, p. 265; 1927. Gordon, ZS. f. Phys., 40, p. 117; 1926. Madelung, ZS. f. Phys., 40, p. 322; 1926. Klein, ZS. f. Phys., 41, p. 407; 1926. Debye, Phys. Zeits., 28, p. 170; 1927. Bateman, Phys. Rev., 30, p. 55; 1927. Darwin, Proc. Roy. Soc., 116A, p. 227; 117A, p. 258; 1927.

VanVleck, Proc. Nat. Acad. Sci., Feb. 1928 and references.

Brillouin, Journal de Physique, 8, p. 74; 1927. Darwin, Proc. Roy. Soc., 115A, p. 1; 1927. Epstein, Proc. Nat. Acad. Sci., 13, p. 232 and p. 432; 1927. Fues, Ann. der Phys., 81, p. 281; 1926. Kronig and Rabi, Phys. Rev., 29, p. 262; 1927. Manneback, Phys. Zeits., 28, p. 72; 1927. Pauli, ZS. f. Phys., 43, p. 601; 1927. Reiche, ZS. f. Phys., 39, p. 444; 1926; Rademacher and Reiche, Ibid., 41, p. 453; 1927. Richter, Proc. Nat. Acad. Sci., 13, p. 476; 1927.

Oppenheimer, ZS. f. Phys., 41, p. 268; 1927. Sugiura, Journal de Physique, 8, p. 113; 1927.

Heisenberg, ZS. f. Phys., 39, p. 499; 1926.

Sugiura, ZS. f. Phys., 44, p. 190; 1927.

Slater, Proc. Nat. Acad. Sci., 13, p. 423; 1927,

Kellner, ZS. f. Phys., 44, p. 91; 1927.

Burrau, Det. Kgl. Danske Vid. Selskad; Math.-fys. Medd., 7, No. 14; 1927.

Condon, Proc. Nat. Acad. Sci., 13, p. 466; 1927.

Sugiura, ZS. f. Phys., 45, p. 484; 1927.

Wang. Phys. Rev., April 1928.

Unsöld, Ann. der Phys., 82, p. 355; 1927.

Sugiura and Urey, Det. Kgl. Danske Vid. Selskad; Math.-fys. Medd., 7, No. 13; 1927.

Sugiura, Phil. Mag., 4, 495; 1927.

Slater, Phys. Rev., 31, p. 333; 1928.

Kramers, ZS. f. Phys., 39, p. 828; 1926.

Hund, ZS. f. Phys., 40, p. 742; 1926; 42, p. 93; 1927; 43, p. 805; 1927.

Heitler and London, ZS. f. Phys., 44, p. 455; 1927.

London, ZS. f. Phys., 46, p. 455; 1928.

Condon, Proc. Nat. Acad. Sci., 13, p. 462; 1927.

Franck, Trans. Faraday Soc., 1925.

Dennison, Proc. Roy. Soc., 115A, p. 483; 1927.

Heisenberg, ZS. f. Phys., 41, p. 239; 1927; also Hund, ref. 31 and ZS. f. Phys., 43, p. 788; 1927; Wigner, ZS. f. Phys., 40, p. 492, 883; 43, p. 624 and 45, p. 601; 1927.

As a simple illustration of Born’s theory, collisions with a rotating dipole have been discussed by Fermi, ZS. f. Phys., 40, p. 399; 1926.

Born, Göttingen Nachrichten, p. 146; 1926.

J.O.S.A. & R.S.I., 16, p. 57; 1928.

Oppenheimer, ZS. f. Phys., 43, p. 27; 1927; Proc. Nat. Acad. Sci., 13, p. 800; 1927.

Wentzel, ZS. f. Phys., 40, p, 590; 1926.

De Broglie, Ondes et Mouvements, Paris 1927.

Oppenheimer, ZS. f. Phys., 43, p. 413; 1927.

Cf. Blackett, Proc. Cambr. Phil. Soc., 23, p. 698; 1927; also Oppenheimer, Phys. Rev., 31, p. 66; 1928.

Gaunt, Proc. Cambr. Phil. Soc., 23, p. 732; 1927.

Oppenheimer, Phys. Rev., 31, p. 349; 1928.

Mensing, ZS. f. Phys., 45, p. 603; 1927; Oppenheimer, Proc. Nat. Acad. Sci., 14, p. 261; 1928.

Dirac, Proc. Roy. Soc., 111A, p. 405; 1926; and Proc. Cambr. Phil. Soc., 23, p. 500; 1927. Gordon, ref. 14. Schroedinger, Ann. der Phys., 82, p. 257; 1927.

Wentzel, ZS. f. Phys., 43, p. 1; and 43, p. 779; 1927.

See references 56 of last year's report,1. also Brillouin, loc. cit.16., Kronig, Proc. Nat. Acad. Sci., 12, p. 608; 1926; ZS. f. Phys., 45, p. 458 and p. 508; 1927 (Kerr and Faraday effects); Manneback, ref. 16; Pauling, Proc. Roy. Soc., 114A, p. 181; Sommerfield and Laporte, ZS. f. Phys., 40, p. 333; 1926; VanVleck, Proc. Nat. Acad. Sci., 12, p. 662; 1926; Phys. Rev., 29, p. 727; 30, p. 31; 1927; also April 1928.

Pauli, ZS. f. Phys., 41, p. 81; 1927.

Sommerfeld, Naturwissenschaften, 15, p. 825, 1927; ZS. f. Phys. vol. 47. Pauli, ZS. f. Phys., 41, p. 81; 1927.

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