Incoherent Scattering and the Concept of Discrete Electrons

Arthur H. Compton

doi:10.1103/PhysRev.47.367

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Incoherent Scattering and the Concept of Discrete Electrons

Arthur H. Compton

University of Chicago and Oxford University

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Phys. Rev. 47, 367 – Published 1 March, 1935

DOI: https://doi.org/10.1103/PhysRev.47.367

Abstract

Experiment has shown that scattered x-rays contain both a coherent and an incoherent portion. Classical electron theory provides a formula for scattering closely similar to that based on wave mechanics, but includes both coherent and incoherent components only if the atom consists of discrete electrons. From a comparison of the classical and wave-mechanics theories of scattering it is concluded that the most accurate classical analog of Schrödinger's $ψ ψ^{*}$ is the probability of occurrence of discrete electrons, and that a particular electron is associated with each particular function $ψ_{n} {ψ_{n}}^{*}$ .

References (10)

A. H. Compton, Bull. Nat. Res. Council No. 20, 19 (1922) Phys. Rev. 21, 483 (1923) ibid.24, 168 (1924) P. Debye, Physik. Zeits. 24, 161 (1923) A. Smekal, Naturwiss. 11, 873 (1923)
G. E. M. Jauncey, Phil. Mag. 49, 427 (1925) Phys. Rev. 25, 314 (1925) J. W. M. Dumond, 33, 643 (1929) S. Chandrasekhar, Proc. Roy. Soc. A125, 231 (1929)
H. A. Kramers, Nature 113, 673 (1924) ibid.114, 310 (1924) H. A. Kramers and W. Heisenberg, Zeits. f. Physik 31, 681 (1925) E. Schrödinger Ann. d. Physik 81, 109 (1926) O. Klein, Zeits. f. Physik 41, 407 (1927) Wentzel, 43, 1, 779 (1927) I. Waller, Phil. Mag. 4, 1228 (1927) Zeits. f. Physik 41, 213 (1928) I. Waller and D. R. Hartree, Proc. Roy. Soc. A124, 119 (1929)
G. G. Harvey, P. S. Williams and G. E. M. Jauncey, Phys. Rev. 46, 365 (1934)
Omitted endnote
P. Debye, Ann. d. Physik 46, 809 (1915) A. H. Compton, X-Rays and Electrons, p. 171 (1926) C. V. Raman, Ind. J. Phys. 3, 357 (1928) A. H. Compton, Phys. Rev. 35, 925 (1930) Y. H. Woo, 41, 21 (1932) G. E. M. Jauncey, 37, 1193 (1931)
[5] A. H. Compton and S. K. Allison in their X-Rays in Theory and Experiment, Van Nostrand, New York, 1935, p. 138
G. Herzog, Zeits. f. Physik 69, 207 (1931) E. O. Wollan, Rev. Mod. Phys. 4, 241 (1932)
A. H. Compton, Phys. Rev. 35, 931 (1930) Tech. Rev. Mass. Inst. 33, 19 (1930) G. Herzog ([8])
St. Louis meeting of the Am. Phys. Soc., Dec. 1, 1934

[c1] A. H. Compton, Bull. Nat. Res. Council No. 20, 19 (1922) Phys. Rev. 21, 483 (1923) ibid.24, 168 (1924) P. Debye, Physik. Zeits. 24, 161 (1923) A. Smekal, Naturwiss. 11, 873 (1923)

[c2] G. E. M. Jauncey, Phil. Mag. 49, 427 (1925) Phys. Rev. 25, 314 (1925) J. W. M. Dumond, 33, 643 (1929) S. Chandrasekhar, Proc. Roy. Soc. A125, 231 (1929)

[c3] H. A. Kramers, Nature 113, 673 (1924) ibid.114, 310 (1924) H. A. Kramers and W. Heisenberg, Zeits. f. Physik 31, 681 (1925) E. Schrödinger Ann. d. Physik 81, 109 (1926) O. Klein, Zeits. f. Physik 41, 407 (1927) Wentzel, 43, 1, 779 (1927) I. Waller, Phil. Mag. 4, 1228 (1927) Zeits. f. Physik 41, 213 (1928) I. Waller and D. R. Hartree, Proc. Roy. Soc. A124, 119 (1929)

[c4] G. G. Harvey, P. S. Williams and G. E. M. Jauncey, Phys. Rev. 46, 365 (1934)

[c5] Omitted endnote

[c6] P. Debye, Ann. d. Physik 46, 809 (1915) A. H. Compton, X-Rays and Electrons, p. 171 (1926) C. V. Raman, Ind. J. Phys. 3, 357 (1928) A. H. Compton, Phys. Rev. 35, 925 (1930) Y. H. Woo, 41, 21 (1932) G. E. M. Jauncey, 37, 1193 (1931)

[c7] [5] A. H. Compton and S. K. Allison in their X-Rays in Theory and Experiment, Van Nostrand, New York, 1935, p. 138

[c8] G. Herzog, Zeits. f. Physik 69, 207 (1931) E. O. Wollan, Rev. Mod. Phys. 4, 241 (1932)

[c9] A. H. Compton, Phys. Rev. 35, 931 (1930) Tech. Rev. Mass. Inst. 33, 19 (1930) G. Herzog ([8])

[c10] St. Louis meeting of the Am. Phys. Soc., Dec. 1, 1934

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Incoherent Scattering and the Concept of Discrete Electrons

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