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Lagrangian formulation of Bohr’s measurement theory

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Il Nuovo Cimento B (1971-1996)

Summary

In the conventional formulation of quantum mechanics, a measurement is an interaction between a quantum object and a classical apparatus. The quantum motions of the object dynamically induce the apparatus into a classical path (e.g., into a reading). The rules for computing the induced apparatus Lagrangians are here discussed.

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References

  1. See, for example,Quantum Theory and Measurement, edited byJ. A. Wheeler andW. H. Zurek (Princeton University Press, Princeton, N.J., 1983).

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  2. For N. Bohr’s discussions with A. Einstein on epistemological problems in atomic physics, see Chapt. 7 ofAlbert Einstein: Philosopher Scientist, Vol. 7 of theLibrary of Living Philosophers, edited byP. A. Schlipp (Evanston, Ill., 1949) (reprinted by Open Court, La Salle, Ill., 1970).

  3. L. Landau andE. M. Lifshitz:Statistical Physics, second edition (Addison Wesley Publishing Co., Reading, Mass., 1969), p. 28.

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  4. The quantum dynamics of ferromagnetic grains illustrating some of the general formalism presented here can be found in a recent work:Quantum electrodynamic circuit theory of measurements on ferromagnetic grains byA. Widom andY. Srivastava:Nuovo Cimento B,103, 185 (1989).

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  5. For a recent review, seeY. Srivastava andA. Widom:Phys. Rep.,148, 1 (1987).

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Widom, A., Srivastava, Y. Lagrangian formulation of Bohr’s measurement theory. Nuov Cim B 107, 71–75 (1992). https://doi.org/10.1007/BF02726886

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  • DOI: https://doi.org/10.1007/BF02726886

PACS 03.65

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