References
A. Einstein:Dialectica,2, 320, 312 etc., No. 3, 4 (1948);L. De Broglie:Phys. BlÄtt.,9, 541 (1953);E. Schbödingeb:Brit. Journ. Phil. Sci.,3, No. 10, 11 (1952);M. Born:Phys. BlÄtt.,11, 193 (1955);M. Born:Phys. BlÄtt.,11, 49 (1955);J. L. Destouches:Conferences du Palais de la Decouverte, Sér. A, No. 188 (1953); see alsoJourn. Phys.,13, 385 (1952);J. L. Destouches:Revue Phil., Janvier-Mars 1953 and Presses Univ. France;J. Ullmo:Rev. Phil., 257 (1949);A. Einstein andE. Scheödingee in:Festive Publication on the occasion of de de Broglie’s 60-th birthday (Paris, 1952).
A. March:Die physikalische Erkenntnis und ihre Grenzen (Braunschweig, 1955), p. 32 ff.
A. March: see (2), p. 28 ff. Compare also the discussion:Ist die klassische Physik tatsÄchlich deterministisch? In Boen (1) and the following contribution to discussions in the Physikalische BlÄtter.
R. Sauer :Gasdynamik (Berlin, 1943).
Joos:Lehrbuch der Theoretischen Physik (Leipzig, 1942), p. 87.
Sauter:Differentialgleichungen der Physik, Samml. Göschen 1070 (Berlin, 1942), p. 111.
N. Bohr:Phys. Rev.,48, 696 (1935);Die Naturwiss.,16, 245 (1928);17, 483 (1929);21,13 (1933);Erkenntnis,6, 293 (1935);W. Furry:Phys. Rev.,49, 393, 476 (1936);W. Heisenbergs:Zeits. f. Phys.,43, 172 (1927).
E. Scheödinger:Brit. J. Phil. Sci.,3, 109, 233 (1952);Ann. d. Phys.,79, 361, 489, 734 (1926);80, 437 (1926);81, 109 (1926);L. de Broglie:Ann. Phys. 3, 22 (1925);E. Schrödinger:Naturwiss.,42, 720 (1924); further:The Meaning of Wave Mechanics (Louis de Broglie, Physicien et Penseur), (Paris, 1952); vol. p. le 60e anniversaire deM. de Broglie).
E. Schrödinger:Brit. J. Phil. Sci.,3, 109, 233 (1952), see also the same author (1);M. Born:Zeits. f. Phys.,40, 167 (1926) (statistical interpretation in connection with the many-body problem); compare Born and Fock:Zeits. f. Phys.,51, 165 (1928);A. Einstein:Phys. Rev.,47, 777 (1933);M. Bobn:Zeits. f. Phys.,37, 863 (1926);38, 803 (1926) ≪Probability Interpretation ≫ compare Heisenberg:Zeits. f. Phys.,43, 172 (1927); operator method:P. A. M. Dirac:Proc. Roy. Soc, A109, 642 (1925); A110, 561 (1926); A111, 281 (1926); A112, 674 (1926).
J. Neumann:Gött. Nachr. 1929;Mathematische Grundlagen der Quantenmechanik (Berlin, 1931); Commun.Congrès Int. Varsovie 1938;Les nouvelles théories de la physique (Paris, 1939), p. 32;J. Solomon:Journ. Phys., (7)4, 34 (1933);P. DeStouches-Février:La structure des théories physiques (Paris, 1951);Journ. Phys.,14, 640 (1953); see alsoJ. Destouches:Journ. Phys.,13, 354 (1952);W. Pauli: Vol. p. le 60e anniversaire de M. de Broglie (Paris, 1952).
L. de Broglie:Compt. Rend.,183, 272, 447 (1926);184, 273 (1927);185, 380, 1180 (1927) (Older ≪ double solution ≫ works);Journ. Phys., (6)8, 225;7, 1;W. Pauli:Reports Solvay Congress 1928, p. 280 (criticism), see further:L. de Broglie:Compt. Bend.,177, 517 (1933);179, 435 (1924);180, 498 (1925);198, 135 (1934).
J. Moran:Journ. Appl. Phys.,22, 1355 (1951); F. čap:Bornsehe Elektrodynamik und niehtlineare pseudoplancksche Oszillatoren (not published);P. Destouches andP. Fevrier:Journ. Phys. et Rad.,13, 605 (1952);13, 210 (1952);J. Destouches:Journ. Phys. et Bad.,16, 81 (1955);16, 86 (1955);F. Aeschlimann;Journ. Phys. et Rad.,15, 752 (1954);15, 600 (1952);F. čap:Nonlinear Pseudoscalar Meson Theory,EOARDC Report 633-C (1954);F. čap:Lecture at Munich University, Inst. f. theoret. Physik (October 1954);Lecture at Austrian Cultural Center Paris (October 1955);J. Destouches:La Quantification dans la théorie fonctionelle du corpuscule (1956, in print).
F. čap:Progr. Theor. Phys.,10, 235 (1953);13, 62 (1955);Phys. Bev.,95, 287 (1954); see alsoF. Cap andW. Gröbner:Nuovo Cimento,1, 1211 (1955). (*) This radiationless character of Bohr’s orbits can, as we know, not be explained within the framework of Bohr’s theory. As we are about to deal only with the derivation of the Balmer formulawithout making use of the quantum condition, we shall leave also this problem open (but compare Bopp’s paper in this issue).
Sommerfeld:Atombau und Spektrallinien, 1. Bd. and compareE. Schrödinger (1) and particularlyNaturwiss.,12, 720 (1924).
W. Gröbner:Ann. Mat, (4)39, 11 (1955).
G. Falk andH. Marschall:Zeits. f. Naturfor., 4a, 131 (1949).
E. Madelung:Zeits. f. Phys.,40, 332 (1926); see also various works published in theProgr. Theor. Phys. in the course of recent years;H. Franke:Acta Phys. Hung.,4, 163 (1954);M. Bauer; Various not published works, or works published by the author himself.
L. de Broglie:Compt. Rend.,233, 641, 1031 (1951);234, 265 (1952);223, 874 (1946);225, 361 (1947);229, 157 (1949);229, 269 (1949); see the works by several authors inL. de Broglie, Physicien et Penseur, Vol. p. le 60e anniversaire de M. de Broglie (Paris, 1952); see also ( 12), Destouches; Vigier:Compt. Rend.,233, 1031 (1951);234, 265 (1952).
D. Bohm:Phys. Rev.,85, 166 (1952);85, 180 (1952);89, 485 (1953);Keller:Phys. Rev.,89, 1040 (1953); compare the criticism by Pauli in the de Broglie Festive Publication as cited or K. Nagt:Acta Phys. Hung.,4, 327 (1954); compare alsoN. Rosen andJ. Elisha Mitchel:Sei. Soc,61, No. 1 and 2. August 1945 (precursor of Bohm) and K. Novobátzky:Ann. d. Phys.,9, 406 (1951); compareW. Glaser:Acta PhysAustr.,4, 501 (1951).
L. Jánossy:Acta Phys. Hung., 1, 423 (1952); andAnn. d. Phys., (6)11, 323 (1953).
W. Weizel:Zeits. f. Phys.,134, 264 (1953) with criticism of Bohm; further:Zeits. f. Phys.,135, 270 (1953); precursor:J. Fenyes:Zeits. f. Phys.,132, 81 (1952).
T. Takabayashi:Progr. Theor. Phys.,8, 143 (1952);9, 187 (1953);J. Fenyes:Zeits. f. Phys.,132, 81 (1952);D. Blohincev:Lehrbuch der Quantenmechanik (Berlin).
F. Bopp:Zeits. f. Naturfor., 2a, 202 (1947); (disproves Fenyes);Zeits. f. Naturfor., 9a, 579 (1954); compare also the discussion:W. Macke:Phys. BlÄtt., 11,. 25 (1955).
Bechert andGerthsen:Atomphysik, Samml. Gschen (Berlin).
J. Haberlandner:Die stationare Lösung der Differentialgleichung yy’ = =-x-2(y-y3/3),home work in mathematics (Innsbruck University, 1954);P. Kuttner :StationÄreLösungskurven der Differentialgleichung yy’ =-x-P(y), home work in mathematics (Innsbruck University, 1955);E. Schrödinger:Statistical Thermodynamics [Cambridge Univ. Press (9), (1)].
W. Pauli andP. Jordan:Zeits. f. Phys.,47, 151 (1928);P. Jordan andK. Klein:Zeits. f. Phys.,45, 751 (1927);P. Jordan andE. Wigner:Zeits. f. Phys.,47, 631 (1928);M. Mie:Ann. d. Phys., (4)85, 711 (1928).
P. A. M. Dirac:Proc. Roy. Soc,114 A, 243, 710 (1927).
W. Pauli:Meson Theory of Nuclear Forces (New York, 1946);H. Bethe:Phys. Rev.,57, 260 (1940);F. čap:Progr. Theor. Phys.,13, 62 (1955);Bhabha, Sil, Marshak et al.: in several works.
E. Schrödinger, p.7 (8),The Meaning of Wave Mechanics;W. Macke:Phys. Blatt,11, 25 (1955);E. Schrödinger:Ann. der Phys., (4)82, 265 (1927).
G. Wentzel:Quantentheorie der Wellenfelder (Wien, 1943);A. March:Quantum Theory of Particles and Wave Fields (New York, 1950);W. Heisenberg andW. Pauli:Zeits. f. Phys.,56, 1 (1929).
E. Schrödinger, p. 9 (9);E. Schrödinger:Naturwiss., 12,720 (1924).
E. Schrödinger, p. 5, 7 (30); p. 24 (9);E. Schrödinger:Ann. der Phys., (4)82, 265 (1927).
W. Heisenberg andW. Pauli (31); see alsoGordon andKlein:Zeits. f. Phys.,40, 117 (1926);41, 432 (1927).
Tetrode:Zeits. f. Phys.,49, 858 (1928);Möglich:Zeits. f. Phys.,48, 852 (1928); compare alsoF. čap:Zeits. f. Naturfor., 8a, 740, 747 (1953);Fortschr. d. Phys., 2, 207 (1955);Phys. Rev.,93, 907 (1954).
H. König:Acta Phys. Austr.,4, 405 (1951); (interpretations of photons)5, 286 (1952);K. Nagy:Acta Phys. Hung., 4, 327 (1954);J. Fuchs:Acta Phys. Austr,5, 349 (1952);Ann. der Phys.,36, 622 (1939).
L. Flamm:Ada Phys. Austr.,1, 259 (1948) and elsewhereW. Glaser:Zeits. f. Phys.
G. Wentzel (31), F. čap (35).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
čap, F. On the causal interpretation of quantum theories. Il Nuovo Cimento (1855-1868) 3 (Suppl 3), 418–432 (1956). https://doi.org/10.1007/BF02744325
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02744325