3 The Dirac Electron and Basic Physical Concepts
73
19. Barut AO, Bracken AJ (1981) Zitterbewegung and the internal geometry of the electron. Phys
Rev D 24:3333–3342
20. Barut AO, Zanghi N (1984) Classical model of the Dirac electron. Phys Rev Lett 52:2009–
2012
21. Barut AO, Pavšiˇ c M (1987) Quantization of the Zitterbewegung in the Schrödinger picture.
Class Quantum Gravity 4:L131–L136, and references therein
22. Maruani J (2012) The Dirac electron . . . and the kinetic foundation of rest mass. In: Nishikawa K et al (eds) Prog theor chem & phys B, vol 26. Springer, Berlin, pp 23–46
23. Infeld L, Schield AE (1945) A new approach to kinematic cosmology. Phys Rev 68:250–272
24. Infeld L, Schield AE (1946) A new approach to kinematic cosmology. Phys Rev 70:410–425
25. Chapman TC, Leiter DJ (1976) On the generally covariant Dirac equation. Am J Phys 44:858–
862
26. Arbab AI, Yassein FA (2012) A new formulation of quantum mechanics. J Mod Phys 3:163–
169
27. Appelquist T, Chodos A, Freund PGO (eds) (1987) Modern Kaluza-Klein theories. AddisonWesley, Reading, and references therein
28. Dahl JP (1977) The spinning electron. Det Kongelige Danske Vid. SM-FM 39(12):1–33
29. Ohanian HC (1986) What is spin? Am J Phys 54:500–505
30. Rahmani Nejad A (2009) A new approach to the concept of electron spin. Private communication
31. Tiwari SC (2012) Gordon decomposition of the Dirac current. Private communication
32. Dirac PAM (1962) An extensible model of the electron. Proc R Soc Lond A 268:57–67
33. Carr BJ, Rees MJ (1979) The anthropic principle and the structure of the physical world.
Nature 278:605–612
34. Barrow JD, Tipler FT (1986) The anthropic cosmological principle. Oxford University Press,
London, and references therein
35. Sanchez FM, Kotov VA, Bizouard C (2011) Towards a synthesis of two cosmologies: the
steady-state flickering universe. J Cosmol 17:7225–7237
36. Sanchez FM, Kotov VA, Bizouard C (2012) Towards coherent cosmology. Galilean Cosmol
24(4):63–81, and private communication
37. Bousso R (2002) The holographic principle. Rev Mod Phys 74:825–874, and references
therein
38. Pavšiˇ c M (2001) The landscape of theoretical physics: a global view. Kluwer Academic, Dordrecht, pp 347–352. See also http://en.wikipedia.org/wiki/planck_units
39. Macken JA (2013) The Universe is only spacetime (http://onlyspacetime/home); wave-based
insights into the relationship between forces. Private communication
40. Kato T (1957) On the eigenfunctions of many-particle systems in quantum mechanics. Commun Pure Appl Math 10:151–157
41. Pack RT, Byers Brown W (1966) Cusp conditions for molecular wavefunctions. J Chem Phys
45:556–559. Cusp conditions involve averaging of the wavefunction over small spheres about
the singularities, which is an indirect way of accounting for the finite size of the electron
42. Kutzelnigg W (2003) Theory of electron correlation. In: Rychlewski J (ed) Explicitly correlated wave functions in chemistry and physics. Prog theor chem & phys A, vol 13. Kluwer
Academic, Dordrecht, pp 3–90, and references therein
43. Maruani J (1980) Magnetic resonance and related techniques. In: Becker P (ed) NATO ASI
proceedings. Plenum, New York. It should be noted that the Darwin term is the contact correction to the interaction between two (pseudo-scalar) electric charges, while the Fermi term
is the contact correction to the interaction between two (pseudo-vectorial) magnetic moments
44. Shapiro SL, Teukolsky SA (1983) Black holes, white dwarfs, and neutron stars: physics of
compact objects. Wiley, New York, p 357
45. de Broglie L (1954) Théorie générale des particules à spin: méthode de fusion. GauthierVillars, Paris
46. de Broglie L (1961) Introduction à la nouvelle théorie des particules. Gauthier-Villars, Paris,
Chap 3
73
19. Barut AO, Bracken AJ (1981) Zitterbewegung and the internal geometry of the electron. Phys
Rev D 24:3333–3342
20. Barut AO, Zanghi N (1984) Classical model of the Dirac electron. Phys Rev Lett 52:2009–
2012
21. Barut AO, Pavšiˇ c M (1987) Quantization of the Zitterbewegung in the Schrödinger picture.
Class Quantum Gravity 4:L131–L136, and references therein
22. Maruani J (2012) The Dirac electron . . . and the kinetic foundation of rest mass. In: Nishikawa K et al (eds) Prog theor chem & phys B, vol 26. Springer, Berlin, pp 23–46
23. Infeld L, Schield AE (1945) A new approach to kinematic cosmology. Phys Rev 68:250–272
24. Infeld L, Schield AE (1946) A new approach to kinematic cosmology. Phys Rev 70:410–425
25. Chapman TC, Leiter DJ (1976) On the generally covariant Dirac equation. Am J Phys 44:858–
862
26. Arbab AI, Yassein FA (2012) A new formulation of quantum mechanics. J Mod Phys 3:163–
169
27. Appelquist T, Chodos A, Freund PGO (eds) (1987) Modern Kaluza-Klein theories. AddisonWesley, Reading, and references therein
28. Dahl JP (1977) The spinning electron. Det Kongelige Danske Vid. SM-FM 39(12):1–33
29. Ohanian HC (1986) What is spin? Am J Phys 54:500–505
30. Rahmani Nejad A (2009) A new approach to the concept of electron spin. Private communication
31. Tiwari SC (2012) Gordon decomposition of the Dirac current. Private communication
32. Dirac PAM (1962) An extensible model of the electron. Proc R Soc Lond A 268:57–67
33. Carr BJ, Rees MJ (1979) The anthropic principle and the structure of the physical world.
Nature 278:605–612
34. Barrow JD, Tipler FT (1986) The anthropic cosmological principle. Oxford University Press,
London, and references therein
35. Sanchez FM, Kotov VA, Bizouard C (2011) Towards a synthesis of two cosmologies: the
steady-state flickering universe. J Cosmol 17:7225–7237
36. Sanchez FM, Kotov VA, Bizouard C (2012) Towards coherent cosmology. Galilean Cosmol
24(4):63–81, and private communication
37. Bousso R (2002) The holographic principle. Rev Mod Phys 74:825–874, and references
therein
38. Pavšiˇ c M (2001) The landscape of theoretical physics: a global view. Kluwer Academic, Dordrecht, pp 347–352. See also http://en.wikipedia.org/wiki/planck_units
39. Macken JA (2013) The Universe is only spacetime (http://onlyspacetime/home); wave-based
insights into the relationship between forces. Private communication
40. Kato T (1957) On the eigenfunctions of many-particle systems in quantum mechanics. Commun Pure Appl Math 10:151–157
41. Pack RT, Byers Brown W (1966) Cusp conditions for molecular wavefunctions. J Chem Phys
45:556–559. Cusp conditions involve averaging of the wavefunction over small spheres about
the singularities, which is an indirect way of accounting for the finite size of the electron
42. Kutzelnigg W (2003) Theory of electron correlation. In: Rychlewski J (ed) Explicitly correlated wave functions in chemistry and physics. Prog theor chem & phys A, vol 13. Kluwer
Academic, Dordrecht, pp 3–90, and references therein
43. Maruani J (1980) Magnetic resonance and related techniques. In: Becker P (ed) NATO ASI
proceedings. Plenum, New York. It should be noted that the Darwin term is the contact correction to the interaction between two (pseudo-scalar) electric charges, while the Fermi term
is the contact correction to the interaction between two (pseudo-vectorial) magnetic moments
44. Shapiro SL, Teukolsky SA (1983) Black holes, white dwarfs, and neutron stars: physics of
compact objects. Wiley, New York, p 357
45. de Broglie L (1954) Théorie générale des particules à spin: méthode de fusion. GauthierVillars, Paris
46. de Broglie L (1961) Introduction à la nouvelle théorie des particules. Gauthier-Villars, Paris,
Chap 3