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Titlebook: Differential Geometric Methods in Theoretical Physics; Physics and Geometry Ling-Lie Chau,Werner Nahm Book 1990 Springer Science+Business M

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发表于 2025-3-21 17:04:18 | 显示全部楼层 |阅读模式
书目名称Differential Geometric Methods in Theoretical Physics
副标题Physics and Geometry
编辑Ling-Lie Chau,Werner Nahm
视频video
丛书名称NATO Science Series B:
图书封面Titlebook: Differential Geometric Methods in Theoretical Physics; Physics and Geometry Ling-Lie Chau,Werner Nahm Book 1990 Springer Science+Business M
描述After several decades of reduced contact, the interaction between physicists and mathematicians in the front-line research of both fields recently became deep and fruit­ ful again. Many of the leading specialists of both fields became involved in this devel­ opment. This process even led to the discovery of previously unsuspected connections between various subfields of physics and mathematics. In mathematics this concerns in particular knots von Neumann algebras, Kac-Moody algebras, integrable non-linear partial differential equations, and differential geometry in low dimensions, most im­ portantly in three and four dimensional spaces. In physics it concerns gravity, string theory, integrable classical and quantum field theories, solitons and the statistical me­ chanics of surfaces. New discoveries in these fields are made at a rapid pace. This conference brought together active researchers in these areas, reporting their results and discussing with other participants to further develop thoughts in future new directions. The conference was attended by SO participants from 15 nations. These proceedings document the program and the talks at the conference. This conference was preced
出版日期Book 1990
关键词Gauge theory; Operator; Soliton; Theoretical physics; Transformation; geometry; mechanics; model; quantum me
版次1
doihttps://doi.org/10.1007/978-1-4684-9148-7
isbn_softcover978-1-4684-9150-0
isbn_ebook978-1-4684-9148-7Series ISSN 0258-1221
issn_series 0258-1221
copyrightSpringer Science+Business Media New York 1990
The information of publication is updating

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发表于 2025-3-21 23:15:14 | 显示全部楼层
https://doi.org/10.1007/978-981-10-6265-0s the geometrical integrability properties that have been the guiding force in many two-dimension nonlinear systems. Though the study so far has been quite formal and mathematical, the ultimate goal we have in mind is for particle physics: to solve the full Yang Mills and gravitational fields, and to formulate new ways to quantize the fields.
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Copolymers near a Random Selective Interface concept shows that graphs, connections, interwines, harmonic analysis, etc., are part of structures of the symmetries of the non commutative space. All these can be viewed as continuation of John Van Neuman’s program of using operator algebras in the description of quantum mechanics and field theory.
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Graph Geometry, Quantized Groups and Non-Amenable Subfactors concept shows that graphs, connections, interwines, harmonic analysis, etc., are part of structures of the symmetries of the non commutative space. All these can be viewed as continuation of John Van Neuman’s program of using operator algebras in the description of quantum mechanics and field theory.
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CRM Series in Mathematical PhysicsSome 2-d nonlinear differential equations (NLDE) can be regarded as the integrability condition for certain linear systems. possessing a free spectral parameter λ: . where φ, U, V are all square matrix functions of x, t and λ, and U, V are rational functions of λ.
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Randomly Perturbed Mechanical Systems,Let me begin this talk at a conference devoted to the interface between physics and geometry by stressing the essential identity of geometry and analysis. The distinction is one of methods. The common theme is manifolds and the pseudodifferential operators attached to their vector bundles.
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Scalar Markov Diffusions and Ito CalculusInfinite Index Embeddings are discussed in the framework of quantized space and its quantized symmetry groups.
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