Abstract
The state of each submicroscopic particle in a system is described, as we have noted before, by a function Ψ. The observable probability-density distribution of the particle over space at each time t and the observable changes associated with increasing time are derivable from this function. Analogous to the classic mechanical current found in a moving fluid is an apparent current of streaming probability density.
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References
Books
Burkhardt, H.: 1969, Dispersion Relation Dynamics, American Elsevier, New York, pp. 80–92.
Merzbacher, E.: 1970, Quantum Mechanics, 2nd edn, Wiley, New York, pp. 215–250.
Newton, R. G.: 1966, Scattering Theory of Waves and Particles, McGraw-Hill, New York, pp. 3–150.
Perkins, D. H.: 1972, Introduction to High Energy Physics, Addison-Wesley, Reading, Mass., pp. 265–287.
Rapp, D.: 1971, Quantum Mechanics, Holt, Rinehart and Winston, New York, pp. 519–551.
Articles
Balasubramanian, S.: 1980, ‘Comment on “Use of the Time Evolution Operator”’, Am. J. Phys. 48, 985–986.
Berrondo, M., and Garcia-Calderon, G.: 1982, ‘Resonances in Repulsive Singular Potentials as an Eigenvalue Problem’, Eur. J. Phys. 3, 34–38.
Berry, M. V., and Balazs, N. L.: 1979, ‘Nonspreading Wave Packets’, Am. J. Phys. 47, 264–267.
Bramhall, M. H., and Casper, B. M.: 1970, ‘Reflections on a Wave Packet Approach to Quantum Mechanical Barrier Penetration’, Am. J. Phys. 38, 1136–1145.
Chalk, J.: 1981, ‘Elementary Approach to Separable Potentials of Exponential Form’, Am. J. Phys. 49, 1069–1071.
Clark, C. W.: 1979, ‘Coulomb Phase Shift’, Am J. Phys. 47, 683–684.
Corinaldesi, E., and Rafeli, F.: 1978, ‘Aharonov-Bohm Scattering by a Thin Impenetrable Solenoid’, Am J. Phys. 46,1185–1187.
Delville, A., Jasselette, P., and Vandermeulen, J.: 1978, ‘Elementary Quantum Mechanics in a High-Energy Process’, Am J. Phys. 46, 907–909.
Downs, B. W., and Ram, B.: 1978, ‘Hard-Core Potentials in Quantum Mechanics’, Am J. Phys. 46, 164–168.
Farina, J. E. G.: 1977, ‘Classical and Quantum Spreading of Position Probability’, Am J. Phys. 45, 1200–1202.
Fernow, R. C.: 1976, ‘Expansions of Spin-1/2 Expectation Values’, Am J. Phys. 44, 560–563.
Gijzeman, O. L. J., and Naqvi, K. R.: 1979, ‘Use of the Time Evolution Operator’, Am J. Phys. 47, 384–385.
Greenman, J. V.: 1972, ‘Non-Dispersive Mirror Wavepackets’[, Am J. Phys. 40,1193–1201.
Grübl, G. J., and Leubner, C.: 1980, ‘Current Misconception Concerning the Time Evolution Operator’, Am J. Phys. 48, 484–486.
Hobbie, R. K.. 1962, ‘A Simplified Treatment of the Quantum-Mechanical Scattering Problem Using Wave Packets’, Am J. Phys. 30, 857–864.
Holstein, B. R., and Swift, A. R.: 1972, ‘Spreading Wave Packets—A Cautionary Note’, Am J. Phys. 40, 829–832.
Ignatovich, V. K.: 1978, ‘Nonspreading Wave Packets in Quantum Mechanics’, Found. Phys. 8, 565–571.
Kayser, B.: 1974, ‘Classical Limit of Scattering in a 1/r 2 Potential’, Am J. Phys. 42, 960–964.
Keller, J. B.: 1972, ‘Quantum Mechanical Cross Sections for Small Wavelengths’, Am J. Phys. 40, 1035–1036.
Kujawski, E.: 1971, ‘Additivity of Phase Shifts for Scattering in One Dimension’, Am J. Phys. 39, 1248–1254.
Lapidus, I. R.: 1973, ‘Scattering of Charged Particles by a Localized Magnetic Field’, Am J. Phys. 41, 822–823.
Lapidus, I. R.: 1982, ‘Quantum-Mechanical Scattering in Two Dimensions’, Am J. Phys. 50, 45–47.
Lee, H.-W.: 1982, ‘Spreading of a Free Wave Packet’, Am J. Phys. 50, 438–440.
Lieber, M.: 1973, ‘The Complete Asymptotic Expansion of the Continuum Schrodinger Wave Function’, Am J. Phys. 41, 497–502.
Meijer, P. H. E., and Repace, J. L.: 1975, ‘Phase Shifts of the Three-Dimensional Spherically Symmetric Square Wave Potential’, Am J. Phys. 43, 428–433.
Segre, C. U., and Sullivan, J. D.: 1976, ‘Bound-State Wave Packets’, Am J. Phys. 44, 729–732.
Singh, I., and Whitaker, M. A. B.: 1982, ‘Role of the Observer in Quantum Mechanics and the Zeno Paradox’, Am J. Phys. 50, 882–887.
Synge, J. L.: 1972 ‘A Special Class of Solutions of the Schrodinger Equation for a Free Particle’, Found. Phys. 2, 35–40.
Woodsum, H. C., and Brownstein, K. R.: 1977, ‘Tumbling Motion of Free Three-Dimensional Wave Packets’, Am. J. Phys. 45, 667–670.
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© 1984 D. Reidel Publishing Company, Dordrecht, Holland
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Duffey, G.H. (1984). Propagation, Spreading, and Scattering. In: A Development of Quantum Mechanics. Fundamental Theories of Physics, vol 2. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5201-0_9
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DOI: https://doi.org/10.1007/978-94-009-5201-0_9
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