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Mathematical Topics Between Classical and Quantum Mechanics

, gauge theories, massless particles, and $theta$- vacua. Accessible to mathematicians with some prior knowledge of classical and quantum;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Lie Groups And Lie Algebras For Physicists

interested in applications of Lie group theory and Lie algebras in physics. The emphasis is on the inter-relations of representation theories of Lie;

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Classical And Quantum Mechanics With Lie Algebras

relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras;

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Classical And Quantum Mechanics With Lie Algebras

relativity, Introduction to Hamiltonian mechanics and stability, Introduction to quantum physics and chemistry, and Introduction to Lie algebras;

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Quantum Mechanics

Delta function Groups and vector spaces Group of rotations Lie groups and Lie algebras Hilbert space Operators Subspaces and;

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Algebras of Functions on Quantum Groups, Part 1

of Poisson Lie groups (quasi-classical version of algebras of functions on quantum groups), a description of representations of algebras of functions;

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Affine Lie Algebras and Quantum Groups

This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these;

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Representations of Lie Algebras, Quantum Groups and Related Topics

This volume contains the proceedings of the AMS Special Session on Representations of Lie Algebras, Quantum Groups and Related Topics, held;

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Lectures on Quantum Mechanics

groups, Lie algebras and their representations, principle bundles, distribution theory, and much more. Written with beginning graduate students;

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Probability on Real Lie Algebras

classical and quantum stochastic processes on Lie algebras. In the early chapters, focus is placed on concrete examples of the links between;

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Geometric Mechanics And Symmetry

of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and;

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Quantum Theory for Mathematicians

Neumann Theorem; the Wentzel-Kramers-Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral;

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Algebra - Representation Theory

of rings. The aim of this book is to introduce the reader to some modern developments in: Lie algebras, quantum groups, Hopf algebras and;

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Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In Honor of Vyjayanthi Chari on the Occasion of

This volume collects chapters that examine representation theory as connected with affine Lie algebras and their quantum analogues;

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Classical Systems in Quantum Mechanics

of microsystems and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number;

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Classical Systems in Quantum Mechanics

of microsystems and of the Lie groups characterizing the specific classical system. The second approach is to consider quantal systems of a large number;

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New Directions in Hopf Algebras

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Quantum Theory, Groups and Representations

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary;

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Quantum Theory Groups and Representations

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary;

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Quantum Groups

invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main;

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Classical and Quantum Dynamics

chapters on quantum electrodynamics, in particular, Schwinger's proper time method and the treatment of classical and quantum mechanics with Lie;

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Mathematical Sciences Research Institute Publications

Hopf algebras have important connections to quantum theory, Lie algebras, knot and braid theory, operator algebras and other areas;

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Operator Algebras and Quantum Statistical Mechanics

For almost two decades, this has been the classical textbook on applications of operator algebra theory to quantum statistical physics;

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Lie Groups, Lie Algebras, And Some of Their Applications

to explorations of the classical groups, continuous groups and Lie groups, and Lie groups and Lie algebras. Some simple but illuminating;

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Lie Algebras, Lie Superalgebras, Vertex Algebras and Related Topics

, and quantum groups, vertex (operator) algebras and Lie superalgebras.;

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Semi-Simple Lie Algebras And Their Representations

of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras;

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