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  • Symplectic Geometry and Quantum Mechanicsby Maurice A. de Gosson

    Birkhäuser Basel 2006; US$ 137.99

    Introduction We have been experiencing since the 1970s a process of ?symplectization? of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?nement,quantum mechanics. The purposeof this bookis to providecorema- rial in the symplectic... more...

  • Symplectic Methods in Harmonic Analysis and in Mathematical Physicsby Maurice A. de Gosson

    Springer Basel 2011; US$ 66.77

    The novel approach to deformation quantization outlined in this text makes use of established tools in time-frequency analysis. As one of the first volumes to discuss mathematical physics using Feichtinger?s modulation spaces, this is a valuable reference. more...

  • Born-Jordan Quantizationby Maurice A. de Gosson

    Springer International Publishing 2016; US$ 79.61

    This book presents a comprehensive mathematical study of the operators behind the Born?Jordan quantization scheme. The Schrödinger and Heisenberg pictures of quantum mechanics are equivalent only if the Born?Jordan scheme is used. Thus, Born?Jordan quantization provides the only physically consistent quantization scheme, as opposed to the Weyl quantization... more...

  • The Principles of Newtonian and Quantum Mechanicsby Maurice A. de Gosson; Basil Hiley

    World Scientific Publishing Company 2016; US$ 114.66

    -->. The second edition of this book deals, as the first, with the foundations of classical physics from the "symplectic" point of view, and of quantum mechanics from the "metaplectic" point of view. We have revised and augmented the topics studied in the first edition in the light of new results, and added several new sections.... more...

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