Abstract
When young Kant meditated upon the distinction between his right and left hands, he could not foresee that the problem of incongruent counterparts would revive in the twentieth century under a new form. In the early days of quantum chemistry, Friedrich Hund developed the so-called Hund paradox that arises from the supposed inability of quantum mechanics to account for the difference between enantiomers. In this paper, the paradox is expressed as a case of quantum measurement, stressing that decoherence does not offer a way out of the problem. The main purpose is to argue for the need to adopt a clear interpretation of quantum mechanics in order to solve the paradox. In particular, I claim that the Modal-Hamiltonian Interpretation, which conceives measurement as a breaking-symmetry process, supplies the tools required to explain the dextro-rotation or levo-rotation properties of optical isomers.
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Adler, S.: Why decoherence has not solved the measurement problem: A response to P. W. Anderson. Stud. Hist. Philos. Mod. Phys. 34, 135–142 (2003)
Albert, D., Loewer, B.: Wanted dead or alive: two attempts to solve the Schrödinger’s paradox. In: Fine, A., Forbes, M., Wessels, L. (eds.), Proceedings of the PSA 1990, vol. 1. Philosophy of Science Association, East Lansing (1990)
Albert, D., Loewer, B.: Some alleged solutions to the measurement problem. Synthese 88, 87–98 (1991)
Albert, D., Loewer, B.: Non-ideal measurements. Found. Phys. Lett. 6, 297–305 (1993)
Ardenghi, J.S., Castagnino, M., Lombardi, O.: Quantum mechanics: modal interpretation and Galilean transformations. Found. Phys. 39, 1023–1045 (2009)
Ardenghi, J.S., Castagnino, M., Lombardi, O.: Modal-Hamiltonian interpretation of quantum mechanics and Casimir operators: the road to quantum field theory. Int. J. Theor. Phys. 50, 774–791 (2011)
Ardenghi, J.S., Lombardi, O., Narvaja, M.: Modal interpretations and consecutive measurements. In: Karakostas, V., Dieks, D. (eds.) EPSA 2011: perspectives and foundational problems in philosophy of science. Springer, Dordrecht (2013)
Atkins, P., de Paula, J.: Physical Chemistry. Oxford University Press, Oxford (2010)
Bacciagaluppi, G.: A Kochen-Specker theorem in the modal interpretation of quantum mechanics. Int. J. Theor. Phys. 34, 1205–1216 (1995)
Bacciagaluppi, G., Dickson, M.: Dynamics for modal interpretations. Found. Phys. 29, 1165–1201 (1999)
Bacciagaluppi, G., Hemmo, M.: Modal interpretations, decoherence and measurements. Stud. Hist. Philos. Mod. Phys. 27, 239–277 (1996)
Bader, R.: Atoms in Molecules: A Quantum Theory. Oxford University Press, Oxford (1994)
Bene, G., Dieks, D.: A perspectival version of the modal interpretation of quantum mechanics and the origin of macroscopic behavior. Found. Phys. 32, 645–671 (2002)
Berlin, Y., Alexander, B., Vitalii, G.: The Hund paradox and stabilization of molecular chiral states. Z. Phys. D 37, 333–339 (1996)
Brown, H., Suarez, M., Bacciagaluppi, G.: Are ‘sharp values’ of observables always objective elements of reality? In: Dieks, D., Vermaas, P.E. (eds.) The Modal Interpretation of Quantum Mechanics. Kluwer Academic Publishers, Dordrecht (1998)
Bub, J.: Interpreting the Quantum World. Cambridge University Press, Cambridge (1997)
Crull, E.: Less interpretation and more decoherence in quantum gravity and inflationary cosmology. Found. Phys. 45, 1019–1045 (2015)
Dieks, D.: The formalism of quantum theory: an objective description of reality? Ann. Phys. 7, 174–190 (1988)
Dirac, P.: Quantum mechanics of many-electron systems. Proc. R. Soc. Lond. A 123, 714–733 (1929)
Elby, A.: Why ‘modal’ interpretations of quantum mechanics don’t solve the measurement problem. Found. Phys. Lett. 6, 5–19 (1993)
Fortin, S., Lombardi, O., Martínez González, J.C.: Isomerism and decoherence. Found. Chem. 18, 225–240 (2016)
Fortin, S., Lombardi, O., Martínez González, J. C.: A new application of the modal-Hamiltonian interpretation of quantum mechanics: the problem of optical isomerism. Stud. Hist. Philos. Mod. Phys. B. 62, 123–135 (2018)
Gavroglu, K., Simões, A.: Neither Physics nor Chemistry: A History of Quantum Chemistry. MIT Press, Cambridge (2012)
Harris, R., Stodolsky, L.: Time dependence of optical activity. J. Chem. Phys. 74, 2145–2155 (1981)
Heisenberg, W.: The Physical Principles of the Quantum Theory. University of Chicago Press, Chicago (1930)
Hendry, R.: The physicists, the chemists, and the pragmatics of explanation. Philos. Sci. 71, 1048–1059 (2004)
Hendry, R.: Two conceptions of the chemical bond. Philos. Sci. 75, 909–920 (2008)
Hendry, R.: Ontological reduction and molecular structure. Stud. Hist. Philos. Mod. Phys. 41, 183–191 (2010)
Hendry, R.: The chemical bond. In: Woody, A., Hendry, R., Needham, P. (eds.) Handbook of the Philosophy of Science Volume 6: Philosophy of Chemistry. Elsevier, Amsterdam (2012)
Hendry, R.: The Metaphysics of Chemistry. Oxford University Press, Oxford (2018, forthcoming)
Hettema, H.: Explanation and theory foundation in quantum chemistry. Found. Chem. 11, 145–174 (2009)
Hettema, H.: Reducing Chemistry to Physics. Limits, Models, Consecuences. University of Groningen, Groningen (2012)
Hund, F.: Zur Deutung der Molekelspektren. III. Z. Phys. 43, 805–826 (1927)
Joos, E.: Decoherence through interaction with the environment. In: Joos, E., Zeh, H.D., Kiefer, C., Giulini, D., Kupsch, J., Stamatescu, I.-O. (eds.) Decoherence and the Appearance of a Classical World in Quantum Theory. Springer, Heidelberg (1996)
Kochen, S.: A new interpretation of quantum mechanics. In: Mittelstaedt, P., Lahti, P. (eds.) Symposium on the Foundations of Modern Physics 1985. World Scientific, Singapore (1985)
Kochen, S., Specker, E.: The problem of hidden variables in quantum mechanics. J. Math. Mech. 17, 59–87 (1967)
Labarca, M., Lombardi, O.: Why orbitals do not exist? Found. Chem. 12, 149–157 (2010)
Leach, M.: Concerning electronegativity as a basic elemental property and why the periodic table is usually represented in its medium form. Found. Chem. 15, 13–29 (2013)
Llored, J.: Mereology and quantum chemistry: the approximation of molecular orbital. Found. Chem. 12, 203–221 (2010)
Lombardi, O.: Linking chemistry with physics: arguments and counterarguments. Found. Chem. 16, 181–192 (2014)
Lombardi, O., Castagnino, M.: A Modal-Hamiltonian interpretation of quantum mechanics. Stud. Hist. Philos. Mod. Phys. 39, 380–443 (2008)
Lombardi, O., Castagnino, M.: Matters are not so clear on the physical side. Found. Chem. 12, 159–166 (2010)
Lombardi, O., Dieks, D.: Modal interpretations of quantum mechanics. In: Zalta, E.N. (ed.) The Stanford Encyclopedia of Philosophy (2017). https://plato.stanford.edu/archives/spr2017/entries/qm-modal/
Lombardi, O., Castagnino, M., Ardenghi, J.S.: The Modal-Hamiltonian interpretation and the Galilean covariance of quantum mechanics. Stud. Hist. Philos. Mod. Phys. 41, 93–103 (2010)
Lombardi, O., Fortin, S., López, C.: Measurement, interpretation and information. Entropy 17, 7310–7330 (2015)
Primas, H.: Chemistry, Quantum Mechanics and Reductionism. Springer, Berlin (1983)
Quack, M., Stohner, J.: Parity violation in chiral molecules. Chimia 59, 530–538 (2005)
Ruetsche, L.: Measurement error and the Albert-Loewer problem. Found. Phys. Lett. 8, 327–344 (1995)
Ruthenberg, K., Martínez González, J.C.: Electronegativity and its multiple faces: persistence and measurement. Found. Chem. 19, 1–15 (2017)
Scerri, E.: Editorial 37. Found. Chem. 13, 1–7 (2011)
Schlosshauer, M.: Decoherence and the Quantum-to-Classical Transition. Springer, Berlin (2007)
Shao, J., Hänggi, P.: Control of molecular chirality. J. Chem. Phys. 107, 9935–9941 (1997)
Sutcliffe, B., Woolley, G.: A comment on editorial 37. Found. Chem. 13, 93–95 (2011)
Sutcliffe, B., Woolley, G.: Atoms and molecules in classical chemistry and quantum mechanics. In: Woody, A., Hendry, R., Needham, P. (eds.) Handbook of the Philosophy of Science Volume 6: Philosophy of Chemistry. Elsevier, Amsterdam (2012)
Van Fraassen, B.C.: A formal approach to the philosophy of science. In: Colodny, R. (ed.) Paradigms and Paradoxes: The Philosophical Challenge of the Quantum Domain. University of Pittsburgh Press, Pittsburgh (1972)
Van Fraassen, B.C.: The Einstein-Podolsky-Rosen paradox. Synthese 29, 291–309 (1974)
Vassallo, A., Esfeld, M.: On the importance of interpretation in quantum pysics: a reply to Elise Crull. Found. Phys. 45, 1533–1536 (2015)
Vemulapalli, K.: Theories of the chemical bond and its true nature. Found. Chem. 10, 167–176 (2008)
Vermaas, P.: A no-go theorem for joint property ascriptions in modal interpretations of quantum mechanics. Phys. Rev. Lett. 78, 2033–2037 (1997)
Vermaas, P., Dieks, D.: The modal interpretation of quantum mechanics and its generalization to density operators. Found. Phys. 25, 145–158 (1995)
Wolley, G.: Must a molecule have a shape? J. Am. Chem. Soc. 100, 1073–1078 (1978)
Wolley, G.: Natural optical activity and the molecular hypothesis. Struct. Bond. 52, 1–35 (1982)
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Martínez González, J.C. The problem of optical isomerism and the interpretation of quantum mechanics. Found Chem 21, 97–107 (2019). https://doi.org/10.1007/s10698-018-09330-3
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DOI: https://doi.org/10.1007/s10698-018-09330-3