Geometric And Algebraic Topological Methods In Quantum Mechanics

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    Geometric And Algebraic Topological Methods In Quantum Mechanics
    By: Mangiarotti Luigi
    Publisher:
    World Scientific
    Print ISBN: 9789812561299, 9812561293
    eText ISBN: 9789812701268, 9812701265
    Format: PDF
    Available from $ 254.00 USD
    SKU 9789812701268
    In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry's geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
     

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