Abstract
Recently it has been shown that the classical “stick and ball” viewpoint of molecules is inconsistent with quantum theory (QT). We suggest an unusual reconciliation: The QT state is not a physical property, but instead reflects our state of knowledge about observable aspects of “reality.” We show how this perspective is nevertheless objective. Applied to molecules, the view permits “structure” to exist only when observable evidence is compatible with this feature. Typically one must replace the a priori model (in particular, the dynamical generator) with one consistent with the evidence. We show that such “structure” is stable in the context of first-order perturbation theory. We also indicate how dynamics can be inferred from scattering data—a process alternative to postulating (field-theoretic) models for “environment.”
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References
W. Finkelnburg,Structure of Matter (Academic Press, New York, 1964).
R. G. Woolley, “Quantum Theory and Molecular Structure,”Adv. Phys. 25, 27–52 (1976).
R. G. Woolley, “Must a Molecule Have a Shape?”J. Am. Chem. Soc. 100, 1073–1078 (1978).
R. G. Woolley, “On the Description of High-Resolution Experiments in Molecular Physics,”Chem. Phys. Lett. 44, 73–75 (1976).
R. G. Woolley and B. T. Sutcliffe, “Molecular Structure and the Born-Oppenheimer Approximation,”Chem. Phys. Lett. 45, 393–298 (1977).
R. G. Woolley, “Quantum Mechanical Aspects of the Molecular Structure Hypothesis,”Israel J. Chem. 19, 30–46 (1980).
A. Messiah,Quantum Mechanics (North-Holland, Amsterdam, 1968).
H. Primas, “Foundations of Theoretical Chemistry,” inQuantum Dynamics of Molecules, R. G. Woolley, ed. (Plenum Press, New York, 1980), pp. 89–113.
M. Garcia-Sucre and M. Bunge, “Geometry of a Quantal System,”Int. J. Quantum Chem. 19, 83–93 (1981).
P. Claverie and S. Diner, “The Concept of Molecular Structure in Quantum Theory: Interpretation Problems,”Israel J. Chem. 19, 54–81 (1980).
R. F. W. Bader, Y. Tal, S. G. Anderson, and T. T. Nguyen-Dang, “Quantum Topology: Theory of Molecular Structure and Its Change,”Israel J. Chem. 19, 8–29 (1980).
R. Thom,Structural Stability and Morphogenesis (Benjamin, Reading, Massachusetts, 1975).
R. G. Woolley, “Reply to ‘Fundamental Symmetry Aspects of Optical Activity,’”Chem. Phys. Letts. 79, 395–398 (1981).
R. G. Woolley, “Natural Optical Activity and the Molecular Hypothesis,”Struct. Bond. 52, 1–35 (1982).
M. Jammer,The Philosophy of Quantum Mechanics (Wiley, New York, 1974).
R. Newton, “Probability Interpretation of Quantum Mechanics,”Am. J. Phys. 48, 1029–1043 (1980).
J. F. Cyranski, “Quantum Measurements as a Communication with Nature,”Found. Phys. 8, 805–821 (1978).
W. Ochs, “A New Axiomatic Characterization of the von Neumann Entropy,”Rep. Math. Phys. 9, 109–120 (1975).
E. T. Jaynes, “Information Theory and Statistical Mechanics,”Phys. Rev. 106, 620–630 (1957).
J. Rayski,Found. Phys. 3, 89 (1973).
L. L. Foldy, “Relativistic Particle Systems with Interaction,”Phys. Rev. 122, 275–288 (1961).
J. H. Van Vleck,Theory of Electric and Magnetic Susceptibilities (Clarendon Press, Oxford, 1932).
E. T. Jaynes, “Information Theory and Statistical Mechanics, II,”Phys. Rev. 108, 171–190 (1957).
R. Baierlein,Atoms and Information Theory (Freeman, San Francisco, 1971).
S. Bloom and H. Margenau, “Quantum Theory of Spectral Line Broadening,”Phys. Rev. 90, 791–794 (1953).
E. T. Jaynes, “Where Do We stand on Maximum Entropy?” inThe Maximum Entropy Formalism, R. D. Levine and M. Tribus, eds. (MIT Press, Cambridge, Massachusetts, 1978), pp. 15–118.
J. P. Halloran and L. H. Schick, “Maximum Entropy Reconstruction of Two-Body Potentials from Noisy Scattering Amplitudes,” Preprint, Dept. of Physics and Astronomy, Univ. of Wyoming, Laramie, Wyoming.
D. M. Collins, “Electron Density Images from Imperfect Data by Iterative Entropy Maximization,”Nature 298, 49–51 (1982).
P. F. Fougere, “A Solution to the Problem of Spontaneous Line Splitting in Maximum Entropy Power Analysis,”J. Geophys. Res. 82, 1051–1054 (1977).
S. F. Gull and G. J. Daniell, “Image reconstruction from incomplete and noisy data,”Nature 272, 686–690 (1978).
A. J. Devaney, “Nonuniqueness in the Inverse Scattering Problem,”J. Math. Phys. 19, 1528–1531 (1978).
J. F. Cyranski, “Development of a method for Dynamical Spectral Analysis of Non-Stationary Signals with Application to Ionospheric Scintillation Studies,” Report for AFOSR 1984 USAF-SCEEE Summer Faculty Research Program.
J. Jauch,Foundations of Quantum Mechanics (Addison-Wesley, Reading, Massachusetts, 1968).
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Cyranski, J.F. Information theory and the problem of molecular structure. Found Phys 15, 833–849 (1985). https://doi.org/10.1007/BF00738317
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DOI: https://doi.org/10.1007/BF00738317