Abstract
The formula for the differential scattering cross section in quantum mechanics is derived without the usual assumption that the square of the ψ-function is a position probability density for particles. It is argued that position, like time, may be basically a macroscopic parameter rather than a random variable for microparticles.
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References
K. Gottfried,Quantum Mechanics (Benjamin, New York, 1966), Vol. 1, Sect. 12.
M. L. Goldberger and K. M. Watson,Collision Theory (Wiley, New York, 1964), Ch. 3.
H. Laue,Found. Phys. 8, 1 (1978).
L. P. Hughston,Twistors and Particles (Lecture Notes in Physics, Vol. 97) (Springer, New York, 1979).
S. M. W. Ahmad and E. P. Wigner,Nuov. Cim. 28A, 1 (1975).
A. Daneri, A. Loinger, and G. M. Prosperi,Nucl. Phys. 33, 297 (1962).
K. Gottfried,Quantum Mechanics (Benjamin, New York, 1966), Vol. 1, Sects. 12 & 40.
J. L. Park,Phil. Sci. 35, 205 (1968).
N. F. Mott,Proc. Roy. Soc. (Lond.) 126, 79 (1929).
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This research was partly supported by a grant from the NSERC.
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Laue, H. Quantum mechanics without the position operator. Found Phys 11, 37–46 (1981). https://doi.org/10.1007/BF00715194
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DOI: https://doi.org/10.1007/BF00715194