## Chemistry, Quantum Mechanics and Reductionism: Perspectives in Theoretical ChemistryThe purpose of this book is to provide a deeper insight into the modern theories of molecular matter. It incorporates the most important developments which have taken place during the last decades and reflects the modern trend to abstraction. At the present state of the art we have acquired a fairly good knowledge of "how to. compute" small molecules us ing the methods of quantum chemistry. Yet, in spite of many statements to the contrary and many superficial discussions, the theoretical basis of chemistry and biology is not safely in our hands. It is all but impossible to summarize the modern developments of the theory of matter in nontechnical language. But I hope that I can give some feeling for the problems, the intellectual excitements and the wor ries of some theoreticians. I know very well that such an enterprise is a dangerous adventure and that one says that a clever scientist should take care of his reputation by barricading himself behind the safe wall of his speciality. This volume is not meant to be a textbook; in many respects it has complementary goals. For good and bad reasons, most textbooks ignore the historical and philosophical aspects and go ahead on the basis of crude simplifications; many even lie like the devil and do not shrink from naive indoctrination. Some sections of this book can be read as commentaries on our standard texts, they are intended to stir the waters with controversy. |

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### Contents

3 | |

On the Structute of Scientć6c Theolutes | 18 |

Pôonoch Quantum Mechanics and Čts Intetptotation | 45 |

Beyond Pêoneev Quantum Mechanicó | 160 |

A Fuamowouk 60 Theohe tücaé Chomó4 | 250 |

Reduction 08m HoCöm and Compéementavity | 308 |

Bübognaphy and Authon Index 6 e o e o e o e o e o e | 356 |

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abstract algebra of observables atomic automorphism axioms Banach space basic Bohr Boolean algebra Boolean lattice called characterized chemical chemistry classical mechanics classical observables classical theories commutative W*-algebra concept defined described discussed dynamical Einstein electromagnetic electrons empirical ensemble equations Everett interpretation evolution example existence experimental factor of type field finite function fundamental Galilei group Galileons given Hamiltonian Heisenberg hierarchical Hilbert space ical implies inequivalent infinite interaction interpretation of quantum invariance irreducible isomorphism J.Math Jauch Jordan algebra linear Math mathematical measurement modular molecular molecules nature normal object ontic operator orthomodular lattice particles phenomena Phys physical pioneer quantum mechanics postulate predual probability theory problem projection properties propositions pure quantal quantum logic quantum theory Quoted in sect refer representation represented Schrödinger scientific scientists self-adjoint space H statistical mechanics stochastic structure subsystems subtheories superselection rules symmetry temporal logic theoretical thermodynamic tion unitary variables vector W*-algebra W*-system