Of Connections and Fields (original) (raw)

Chern's Mathematical Ideas in Physics

joseph samuel

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Geometry, Topology and Quantum Field Theory

yeji park

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Topics in Physical Mathematics : Geometric Topology and Field Theory Kishore Marathe

Kishore Marathe

2006

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Classical Chern-Simons theory, Part 1

Daniel Fred

Arxiv preprint hep-th/9206021, 1992

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Topics in Physical Mathematics

Alexander Litvinenko

2010

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Geometry and the quantum: basics

Alain Connes

Journal of High Energy Physics, 2014

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Geometric quantisation, the Hitchin-Witten connection and quantum operators in complex Chern-Simons theory

alessandro Malusà

2018

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Of connections and fields—II

joseph samuel

Resonance, 2005

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Geometric calculus and the fibre bundle description of quantum mechanics

Daniel Ferrante

Arxiv preprint math-ph/0204024, 2002

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On the nature of quantum geometry

Roger Penrose

1972

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Topological quantum numbers and curvature -- examples and applications

Marek Biesiada

2008

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A New Topological Perspective on Quantization in Physics

Michael Berg

Communications in Mathematics and Applications

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Existence and Uniqueness of Chern Connection in the Klein-Grifone Approach

Salah Elgendi

Journal of Dynamical Systems and Geometric Theories, 2020

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Aharonov-Bohm Effect, Dirac Monopole, and Bundle Theory

Miguel Socolovsky

Theoretical Physics, 2018

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Remarks on Dirac-like monopoles, Maxwell and Maxwell-Chern-Simons electrodynamics in D=2+1 dimensions

Winder Moura-Melo

Physical Review D, 2001

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A fundamental geometry of quantum physics

Daniel Galehouse

Balkan Journal of Geometry and Its Applications

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Souriau’s Geometric Principles for Quantum Mechanics (slides)

Frederic Barbaresco

SEE GSI'23 "Geometric SCience of Information" Saint-Malo, 2023

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Topological Quantum Field Theories -- A Meeting Ground for Physicists and Mathematicians

Romesh Kaul

1999

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Singular Geometry of the Momentum Space: From wire networks to quivers and monopoles

Birgit Kaufmann

Journal of Singularities, 2016

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Lectures on (abelian) Chern-Simons vortices

Peter Horváthy

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Remarks on geometric quantum mechanics

Mauro Spera

Journal of Geometry and Physics, 2004

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The boundary field theory induced by the Chern–Simons theory

Merced Montesinos

Journal of Physics A: Mathematical and Theoretical, 2011

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GEOMETRICAL QUANTUM MECHANICS

Ashutosh Dash

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gr-qc/9405015, CGPG-94/4-1 The Chern-Simons invariant as the natural time variable for classical

Chopin Soo

2008

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The interface of noncommutative geometry and physics

Joseph C Varilly

Clifford Algebras: Applications to Mathematics, Physics, and Engineering, 2004

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Geometric quantum mechanics

Lane Hughston

Journal of Geometry and Physics, 2001

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Differential Structures - the Geometrization of Quantum Mechanics

Torsten Asselmeyer-Maluga

2006

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Quantum field theory of geometry

Abhay Ashtekar

Conceptual foundations of quantum field theory, 1999

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Applications of Geometric Algebra in Electromagnetism, Quantum Theory and Gravity

C. Doran

Clifford Algebras, 2004

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