Jegyzetek, könyvek és cikkek
Az alábbi felsorolásban olyan (ingyenesen elérhető) anyagok szerepelnek, melyek
főként a matematikai fizika különböző ágaiba engednek betekintést.
Vagyis ezen anyagok alapvetően nem profiknak szóló szakcikkek, hanem bevezető jellegű művek.
Differenciálgeometria:
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Gauge theory for fiber bundles,
Peter W. Michor
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Natural operations in differential geometry,
Peter W. Michor
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The Convenient Setting of Global Analysis,
Andreas Kriegl, Peter W. Michor
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Topics on Differential Geometry,
Peter W. Michor
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Topology and Physics - a historical essay,
Charles Nash
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Topological Interpetations of Lattice Gauge Field Theory,
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
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What is supertopology,
Ugo Bruzzo, Vladimir Pestov
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Preparation for Gauge Theory,
George Svetlichny
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Supersolutions,
Pierre Deligne, Daniel S. Freed
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Mathematical foundations of geometric quantization,
Arturo Echeverría-Enríquez, Miguel C. Muñoz-Lecanda,
Narciso Román-Roy, Carles Victoria-Monge
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Introduction to pseudo-differential operators,
M. S. Joshi
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Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem,
Peter B. Gilkey
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Spinors, Spectral Geometry, and Riemannian Submersions,
Peter B. Gilkey, John V. Leahy, Jeonghyeong Park
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Geometry of the Physical Phase Space in Quantum Gauge Systems,
Sergei V. Shabanov
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On the Definition of Geometric Dirac Operators,
Herbert Schröder
Fizika:
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Dirac's formalism and mathematical suprises in quantum mechanics,
François Gieres
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A Tensor Form of the Dirac Equation,
N. G. Marchuk
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Extended Quantum Mechanics,
Pavel Bóna
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Modern Mathematical Physics: what it should be,
L. D. Faddeev
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Localization Regions of Local Observables,
Bernd Kuckert
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The Concept of Particle Wieghts in Local Quantum Field Theory,
Martin Porrmann
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Poisson-Lie Structures on Galilei Group,
Y. Brihaye
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Further Representations of the Canonical Commutation Relations,
Martin Florig, Stephen J. Summers
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Partial Dynamical Systems and the KMS Condition,
Ruy Exel, Marcelo Laca
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Symmetric Hilbert-spaces Arising from Species of Structures,
Madalin Guta, Hans Maassen
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A Tensor Form of the Dirac Equation,
N. G. Marchuk
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Monstrous Moonshine and the Classification of CFT,
Terry Gannon
Kategóriaelmélet:
Kvantum-csoportok:
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Introduction to Quantum Groups,
P. Podles, E. Müller
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Universal C*-algebraic quantum groups arising from algerbaic quantum groups,
J. Kustermans
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Projective Group Algebras,
R. Casalbuoni
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On the Geometry of Inhomogeneous Quantum Groups,
Paolo Aschieri
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Weight theory for C*-algebraic quantum groups,
Johan Kustermans, Stefaan Vaes
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The Unitary Implementation of a Locally Compact Quantum Group Action,
Stefaan Vaes
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Induced Corepresentations of Locally Compact Quantum Groups,
Johan Kustermans
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Actions of compact groups, C*-index theorem, and families,
E. V. Troitsky
Kvantumlogika:
Nemkommutatív geometria:
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An Introduction to Noncommutative Geometry,
Joseph C. Várilly
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Supersymmetric quantum theory and non-commutative geometry,
J. Froehlich, O. Grandjean, A. Recknagel
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Lecture notes on C*-algebras, Hilbert C*-modules, and quantum mechanics,
N. P. Landsman
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Projective Systems of Noncommutative Lattices as a Pregeometric Substratum,
Giovanni Landi, Fedele Lizzi
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A short survey of noncommutative geometry,
Alain Connes
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Notes for a Quantum Index Theorem ,
Roberto Longo
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A Survey Of Noncommutative Chern Characters,
Do Ngoc Diep
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Remarks on Quantum Physics and Noncommutative Geometry,
Lucian M. Ionescu
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A Survey of Noncommutative Dynamical Entropy,
Erling Stormer
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Spectral Radii of Bounded Operators on Topological Vector Spaces,
Vladimir G. Troitsky