Summary
The theory of the relativistic Schrödinger equations is further elaborated: the integrability conditions for the existence of a wave function ψ(x) directly lead to the general situation where a wave function («pure state») is not available to describe the physical system.
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References
See, for instance,K. Huang:Quarks, Leptons and Gauge Fields (World Scientific, 1982).
P. C. W. Davies andJ. Brown:Superstrings. A Theory of Everything (Cambridge University Press, Cambridge, 1988).
M. B. Green, J. H. Schwarz andE. Witten:Superstring Theory, Vol. I, II (Cambridge University Press, Cambridge, 1987).
See, for instance,P. Langacker:Phys. Rep.,72, 185 (1981).
M. Göckeler andT. Schücker:Differential Geometry, Gauge Theories, and Gravity (Cambridge University Press, Cambridge, 1987).
M. Sorg:Relativistic Schrödinger equations, preprint (1992).
M. Mattes andM. Sorg:J. Phys. Soc. Jpn.,63, 2532 (1994).
S. Kobayashi andK. Nomizu:Foundations of Differential Geometry, Vol. I (Interscience Publishers, 1963), Chapt. I.
J. A. Wheeler andW. H. Zurek (Editors):Quantum Theory and Measurement (Princeton University Press, Princeton, N.J., 1983).
See any advanced textbook on quantum mechancis,e.g.,A. Messiah:Quantum Mechanics (North-Holland Publishing Company, 1965).
J. P. Crawford:J. Math. Phys.,26, 1439 (1985).
M. Sorg:Nuovo Cimento B,109, 465 (1994).
M. Mattes andM. Sorg:J. Phys. A,26, 3013 (1993).
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Mattes, M., Sorg, M. Integrability conditions, wave functions, and conservation laws for the relativistic Schrödinger equations. Nuov Cim B 109, 1097–1111 (1994). https://doi.org/10.1007/BF02723233
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DOI: https://doi.org/10.1007/BF02723233