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Noncommutative Mathematics for Quantum Systems

Noncommutative mathematics is a significant new trend of mathematics. Initially motivated by the development of quantum physics, the idea;

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Quantum Isometry Groups

and the operator-algebraic theory of quantum groups . The authors prove the existence of quantum isometry group for noncommutative manifolds;

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Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (In 2 Volumes)

Higgs particle. The book also covers the subject of quantum groups and its application to the fractional quantum Hall effect, as it is for this;

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Quantum Stochastic Processes and Noncommutative Geometry

in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e;

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Noncommutative Geometry

author takes up the practical side of NCG and its value for other areas of mathematics. A brief survey of the main parts of NCG with historical;

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Quantum Groups and Related Topics

are devoted to quantum group theory, non-commutative differential geometry, and integrable systems. Particular emphasis is given to the;

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Noncommutative Geometry, Arithmetic, And Related Topics

of the Riemann Weil explicit formulas in number theory. This space and the corresponding quantum statistical dynamical system are fundamental;

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Geometric and Topological Methods for Quantum Field Theory

at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important;

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Quantum Groups Primer

III pure mathematics course at Cambridge University, it is suitable for use as a textbook for graduate courses in quantum groups or as a;

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Noncommutative Geometry, Quantum Fields and Motives

homology provides a general setting for spectral realizations of zeros of L-functions. The quantum statistical mechanics of the space of Q-lattices;

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Noncommutative Geometry

measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for;

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Quantum Mechanics Using Computer Algebra

Solving problems in quantum mechanics is an essential skill and research activity for physicists, mathematicians, engineers and others;

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Algebraic Geometry for Associative Algebras

homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create;

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Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (In 2 Volumes)

The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on;

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Symplectic, Poisson, and Noncommutative Geometry

noncommutative geometry, approaches quantum mechanics from a more algebraic viewpoint, as it addresses quantization as a deformation of Poisson;

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Quantum Dynamics For Classical Systems

applied to classical problems in finance, biology, economics, and elsewhere. Quantum Dynamics for Classical Systems describes how quantum tools;

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Noncommutative Geometry

quantum arithmetic.;

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Noncommutative Geometry And Physics 2005 - Proceedings Of The International Sendai-beijing Joint Workshop

providing new tools for the investigation of quantum space-time in physics. Recent developments in string theory have supported the idea of quantum;

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Quantum Field Theory and Noncommutative Geometry

This volume reflects the growing collaboration between mathematicians and theoretical physicists to treat the foundations of quantum field;

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Virtual Topology and Functor Geometry

Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum;

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Virtual Topology and Functor Geometry

Intrinsically noncommutative spaces today are considered from the perspective of several branches of modern physics, including quantum;

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The Amazing World of Quantum Computing

goes on to discuss various elements of mathematics required for quantum computing. Quantum cryptography, waves and Fourier analysis, measuring;

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The Amazing World of Quantum Computing

goes on to discuss various elements of mathematics required for quantum computing. Quantum cryptography, waves and Fourier analysis, measuring;

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Geometric And Topological Methods For Quantum Field Theory - Proceedings Of The Summer School

and quantum field theory. These include Hopf algebras underlying renormalization schemes in quantum field theory, noncommutative geometry with;

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Quantum Integrable Systems

Geared towards graduate students in mathematics, this text presents and clarifies the development of quantum integrable systems in the last;

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Quantum Groups and Noncommutative Geometry

in algebra to take up the study of Hopf algebras and quantum groups. In this expanded write-up of those lectures, Manin systematically develops an;

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Noncommutative Geometry and Optimal Transport

on an algebra. It also has an intriguing echo in physics, for it yields a metric interpretation for the Higgs field. In the 1990s, Rieffel;

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