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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Physik & Astronomie Theoretische Physik Quantum versus Classical Mechanics and Integrability Problems
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Quantum versus Classical Mechanics and Integrability Problems
Maciej Błaszak (Gebundene Ausgabe, Englisch)
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Beschreibung
This accessible monograph introduces physicists to the general relation between classical and quantum mechanics based on the mathematical idea of deformation quantization and describes an original approach to the theory of quantum integrable systems developed by the author.The first goal of the book is to develop of a common, coordinate free formulation of classical and quantum Hamiltonian… mechanics, framed in common mathematical language.In particular, a coordinate free model of quantum Hamiltonian systems in Riemannian spaces is formulated, based on the mathematical idea of deformation quantization, as a complete physical theory with an appropriate mathematical accuracy.The second goal is to develop of a theory which allows for a deeper understanding of classical and quantum integrability. For this reason the modern separability theory on both classical and quantum level is presented. In particular, the book presents a modern geometric separability theory, based on bi-Poissonian and bi-presymplectic representations of finite dimensional Liouville integrable systems and their admissible separable quantizations.The book contains also a generalized theory of classical Stäckel transforms and the discussion of the concept of quantum trajectories.In order to make the text consistent and self-contained, the book starts with a compact overview of mathematical tools necessary for understanding the remaining part of the book. However, because the book is dedicated mainly to physicists, despite its mathematical nature, it refrains from highlighting definitions, theorems or lemmas.Nevertheless, all statements presented are either proved or the reader is referred to the literature where the proof is available. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
24.06.2019
Sprache
Englisch
EAN
9783030183783
Herausgeber
Springer International Publishing
Sonderedition
Nein
Autor
Maciej Błaszak
Seitenanzahl
460
Auflage
1st edition 2019
Einbandart
Gebundene Ausgabe
Buch Untertitel
towards a unification of approaches and tools
Schlagwörter
deformation quantization, geometric deformation, separability theory, bosonic systems, quantum integrability, Riemannian spaces, Liouville integrable systems, linear tensor algebra, tensor fields, Lie derivative, symplectic manifolds, Hamilton Jacobi theory, Staeckel systems, Classical integrable systems, Quantum integrable systems, Integrable systems, Quantum trajectory
Thema-Inhalt
PHQ - Quantenphysik (Quantenmechanik und Quantenfeldtheorie)
PHU - Mathematische Physik
PHD - Klassische Mechanik
Höhe
235 mm
Breite
15.5 cm
Hersteller: Birkhäuser, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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