Abstract
It is demonstrated with the help of an example that in general one cannot derive a constant of motion from a conservation law even if one assumes that the field under consideration and all its derivatives with respect to the space coordinates vanish rapidly as the space coordinates tend to infinity.
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References
M. Wadati, H. Sanuki, and K. Konno,Prog. Theor. Phys. 58, 419 (1975).
W.-H. Steeb, W. Erig, and W. Strampp,J. Math. Phys. 23, 145 (1982).
M. E. Bogovskii,Soviet. Math. Dokl. 20, 1094 (1978).
J. Meyer and J. Schröter,Arch. Rational. Mech. Anal. 76, 193 (1981).
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Steeb, W.H., Schröter, J. & Erig, W. A comment on conservation laws and constants of motion. Found Phys 12, 739–742 (1982). https://doi.org/10.1007/BF00729809
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DOI: https://doi.org/10.1007/BF00729809