Titlebook: Quantum and Non-Commutative Analysis; Past, Present and Fu Huzihiro Araki,Keiichi R. Ito,Izumi Ojima Book 1993 Springer Science+Business Me

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Supersymmetric Extension of Quantum Scalar Field TheoriesA family of supersymmetric extensions of a class of quantum scalar field theories is constructed in an abstract form.

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The Gap Labelling Theorem: the case of Automatic SequencesGaps in the spectrum of a Schrodinger operator are labelled by elements of an abelian countable discrete group: the K-group of the C*-algebra generated by the Hamiltonian and its space-translated. The calculation of these labels is performed explicitely in 1D lattice case for potentials generated by automatic sequences.

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