Virtual probability current associated with the spin

American Journal of Physics

Volumn 68, Issue 3, 2000, Pages 259-264

  Mita, Katsunori ^a  

^a ST MARY'S COLLEGE OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034399790     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.19421     Document Type: Article

References (13)

1. L. D. Landau and E. M. Lifshitz, Quantum Mechanics (Pergamon, Oxford, 1965), 2nd ed., pp. 435-437.
2. W. Greiner, Quantum Mechanics (Springer-Verlag, Berlin, 1989), pp. 241-242.
3. G. W. Parker, "Spin current density and the hyperfine interaction in hydrogen," Am. J. Phys. 52 (1), 36-39 (1984).
4. H. C. Ohanian, "What is spin?," Am. J. Phys. 54 (6), 500-505 (1986). Also see H. C. Ohanian, Principles of Quantum Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1990), p. 244.
5. H. C. Ohanian, "What is spin?," Am. J. Phys. 54 (6), 500-505 (1986). Also see H. C. Ohanian, Principles of Quantum Mechanics (Prentice-Hall, Englewood Cliffs, NJ, 1990), p. 244.
6. G. Arfken, Mathematical Methods for Physicists (Academic, Orlando, 1985), 3rd ed., p. 59.
7. In standard, nonrelativistic quantum mechanics, the g factor is inserted "by hand." See, for example, R. Shankar, Principles of Quantum Mechanics (Plenum, New York, 1980), p. 400.
8. J. M. Levy-Leblond showed that the correct g factor for the electron can be obtained through the linearization of the Schrödinger equation. See J. M. Lévy-Leblond, "Nonrelativistic particles and wave equations," Commun. Math. Phys. 6, 286-311 (1967). See also R. J. Gould, "The intrinsic magnetic moment of elementary particles," Am. J. Phys. 64, 597-601 (1996).
9. J. M. Levy-Leblond showed that the correct g factor for the electron can be obtained through the linearization of the Schrödinger equation. See J. M. Lévy-Leblond, "Nonrelativistic particles and wave equations," Commun. Math. Phys. 6, 286-311 (1967). See also R. J. Gould, "The intrinsic magnetic moment of elementary particles," Am. J. Phys. 64, 597-601 (1996).
10. For an excellent discussion of magnetization currents, see R. P. Feynman, R. B. Leighton, and M. Sands, The Feynman Lectures on Physics (Addison-Wesley, Reading, MA, 1964), Vol. II, Chap. 36.
11. F. J. Belinfante, "On the spin angular momentum of mesons," Physica (Amsterdam) 6, 887-898 (1939).
12. J. M. Lévy-Leblond, "The total probability current and the quantum period," Am. J. Phys. 55 (2), 146-149 (1987).
13. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, New York, 1977), Vol. 1, p. 826.