References
H. Yukawa:Phys. Rev.,77 219 (1950);80, 1047 (1950);91, 415, 416 (1953);A. Pais:Progr. Theor. Phys.,10, 457 (1953);Proc. Nat. Acad. Sci.,40, 484, 835 (1954);W. Heisenberg:Naehr. Göttinger Akad. Wiss., 111 (1953);Zeits.f. Naturfors., 9a, 292 (1954)10a, 425 (1955);O. Hara, T. Marumori, Y. Ohnuki andH. Shimodaira:Progr. Theor. Phys.,12, 177 (1954);J. Rayski:Nuovo Cimento,10, 1729 (1953);2, 255 (1955).
H. Enatsu:Progr. Theor. Phys.,11, 125 (1954);12, 363 (1954).
See attempts to define the center of mass in space-time:M. Born andK. Fuchs:Nature,145, 587 (1940);E. E. Salpeter andH. A. Bethe:Phys. Rev.,84, 1232 (1951) ;C. Moller:Communications of the Dublin Institute for Advanced Studies, ser. A, No. 5 (1949).
H. Yukawa: reference (1). The necessity of the introduction of external co-ordinates (external particle) and internal coordinates (internal particle) is discussed in detail byS. A. Eddington:Fundamental Theory (Cambridge, 1946). This was kindly pointed out to the author by.Dr. Deser.
G. Falk:Zeits. f. Phys.,132, 44 (1952).
P. A. M. Dirac, V. A. Fock andB. Podolsky:Phys. Zeits. Sowj.,2 468 (1932).
E. P. Feynman:Phys. Rev.,80, 440 (1950), Appendix A.
F. J. Dyson:Phys. Rev.,75, 486 (1949), see Sect. 4, Eq. (22).
This fact is well known in the case of Dirac-Heisenberg’s positron theory.P. A. M. Dirac:Proa. Camb. Phil. Soc,30, 150 (1934);W. Heisenberg:Zeits. f. Phys.,90, 209 (1934);R. Seebee:Phys. Rev.,49, 545 (1936).
J. Schwinger:Phys. Rev.,82, 664 (1951);R. P. Feynman:Phys. Rev.,80, 440 (1950);E. Karplus andA. Klein:Phys. Rev.,85, 972 (1952).
B. J. Malenka:Phys. Rev.,85, 686 (1952).
M. Born andK. Fuchs:Proc. Roy. Soc. Edinb.,60, 100, 141 (1940);K. Fuchs:Proc. Roy. Soc. Edinb.,60, 147 (1940).
L. Infeld andT. E. Hull:Rev. Mod. Phys.,23, 21 (1951).
E. Scheödinger:Proc. Roy. Irish Acad.,55, 29 (1952).
L. Hultén andK. V. Laurikainen:Rev. Mod. Phys.,23, 1 (1951);K. V. Laurikainen:Ann. Acad. Sci. Fenn., Ser. A, I,130 (1952).
K. V. Laueikainen andE. K. Euranto:Turun Yliopiston Julkaisuja Ann. Univ. Turkuensis, Ser. A,9, No. 3 (1953).
E. T. Whittaker andG. N. Watson:Modern Analysis (Cambridge, 1920), Third Edition, p. 253.
D. E. Hartree:Numerical Analysis (Oxford, 1952), p. 101.
H. Enatsu andC. Ihaea:Nuovo Cimento,1, 394 (1955).
R. Arnowitt andS. Deser:Phys.Rev.,100, 349 (1955);L. H. Cooper:Phys. Rev.,100, 362 (1955).
Y. Nambu:Phys. Rev.,98, 803 (1955);100, 394 (1955).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Enatsu, H. Relativistic quantum mechanics and mass-quantization. Il Nuovo Cimento (1855-1868) 3 (Suppl 3), 526–586 (1956). https://doi.org/10.1007/BF02744331
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02744331