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【簡介】 赫爾曼.施密茨(Hermann Schmitz)1928年出生在德國萊比錫,於2021年5月5日逝世於基爾。從1964年至1980年持續發表了五部十冊的《哲學體系》(System der Philosophie)為其一生的代表著作,並奠定了以「新現象學」(Neue Phänomenologie)為名的哲學學派。他是新現象學的創始人,也是「新現象學學會」(Gesellschaft für Neue Phänomenologie)的精神領袖。若從「新現象學」學派的主要論述看來,學派也可稱為奠基於施密茨諸多關於「身體」的核心論述,所開展出的「身體現象學」學派。 本書包含了身體現象學的理論和實踐兩個方面,並分為兩個主要部分。第一部分介紹施密茨身體現象學的核心概念與其架構。第二部分闡述了新現象學的跨學科發展及其潛在應用。通過施密茨的新現象學,我們展開對胡塞爾現象學理論的修訂,以進一步揭示身體現象的原始混沌與雜多的領域。這將現象學分析擴展到日常經驗中最熟悉,卻難以分析的日常感受,如情感、氛圍、疼痛、自我和虛無感。此外,從意義源於具體身體運作的角度出發,作者展示了如何通過轉變身體團塊的配置和拓撲分布,將患者的不安轉化為安適的可能性,進而呈現新現象學對心理學和精神醫學領域可能提供的實際貢獻。 【目錄】
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This book provides a broad introduction to integrable systems with many degrees of freedom. Within a much larger orbit, discussed are models such as the classical Toda lattice, Calogero fluid, and Ablowitz-Ladik discretized nonlinear Schrödinger equation. On the quantum mechanical side, featured are the Lieb-Liniger delta-Bose gas and the quantum Toda lattice. As a genuinely novel twist, the study deals with random initial data described by generalized Gibbs ensembles with parameters of slow spatial variation. This is the hydrodynamic scale, in spirit similar to the ballistic Euler scale of nonintegrable simple fluids. While integrable microscopic particle models are very diverse, the central theme of this book is to elucidate their structural similarity on hydrodynamic scales. Sample Chapter(s) Preface Chapter 1: Overview Contents: Preface Overview Dynamics of the Classical Toda Lattice: Locally Conserved Fields and Their Currents Action–Angle Variables, Notions of Integrability Scattering Theory Static Properties: Generalized Gibbs Ensembles Lax Matrix Filter and Local GGEs Generalized Free Energy Lax Density of States, TBA Equation Mean-Field Techniques Dyson Brownian Motion Macroscopic Equation, Law of Large Numbers Fluctuation Theory Hydrodynamics for Hard Rods Hard Rod Fluid Hard Rod Lattice TBA, Collision Rate Ansatz Equations of Generalized Hydrodynamics: Average Currents Hydrodynamic Equations Linearized Hydrodynamics and GGE Spacetime Correlations: Equilibrium Spacetime Correlations for Nonintegrable Chains GGE Spacetime Correlations for the Toda Lattice Domain Wall Initial States Toda Fluid: Euler Equations Generalized Free Energy — Again Hydrodynamics of Soliton Gases: Soliton Gas of the KdV Equation Soliton Gas of the Toda Lattice Comparing Soliton- and Particle-Based Hydrodynamics Calogero Models: Hyperbolic Calogero Model, Charges and Currents Scattering Coordinates Generalized Free Energy Hydrodynamic Equations Classical Bethe Equations Trigonometric Calogero–Moser Model Discretized Nonlinear Schrödinger Equation: Continuum Wave Equations Ablowitz–Ladik Discretization Circular Random Matrices with Pressure Ramp Average Currents Hydrodynamic Equations Modified Korteweg–de Vries Equation Hydrodynamics for the Lieb–Liniger δ-Bose Gas: Bethe Ansatz Bethe Root Densities, Free Energy, TBA Equations Charge Currents, Hydrodynamic Equations Generic Structure of TBA Gaudin Matrix Quantum Toda Lattice: Integrability, Monodromy Matrix Spectral Properties GGE and Hydrodynamics Beyond the Euler Time Scale: General Framework Nonintegrable Chains Navier–Stokes Equations Bibliography List of Symbols Index Readership: Theoretical physicists and mathematicians interested in integrable models with many degrees of freedom.