# Foundations Of Quantum Group Theory

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A graduate level text which systematically lays out the foundations of Quantum Groups.

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## Product Details:

**Genre** |
: Science |

**Author** |
: Shahn Majid |

**Publisher** |
: Cambridge University Press |

**Release** |
: 2000-04-13 |

**Total Pages** |
: 640 Pages |

**ISBN** |
: 0521648688 |

Quantum mechanics, its properties including wavefunctions, complex numbers and uncertainty, are necessary and completely reasonable and understandable, with no weirdness. Classical physics is impossible. Much uncertainty comes from Fourier analysis. Waves and particles and collapse of wavefunctions are meaningless. Their seeming appearance in analyzed. Reasons and limitations of superposition are considered. Gravitation is an example of nonlinearity. All objects interact so nonlinearity is universal. How quantum mechanics then fits in is shown. Dirac's equation comes from Poincaré group. Physics is necessarily impossible in any space but that with dimension 3+1. Spin-statistics is a property of rotation groups.

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## Product Details:

**Genre** |
: Science |

**Author** |
: R. Mirman |

**Publisher** |
: iUniverse |

**Release** |
: 2005-05 |

**Total Pages** |
: 284 Pages |

**ISBN** |
: 9780595341252 |

Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.

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## Product Details:

**Genre** |
: Science |

**Author** |
: Michael Tinkham |

**Publisher** |
: Courier Corporation |

**Release** |
: 2012-04-20 |

**Total Pages** |
: 352 Pages |

**ISBN** |
: 9780486131665 |

The conformal group is the invariance group of geometry (which is not understood), the largest one. Physical applications are implied, as discussed, including reasons for interactions. The group structure as well as those of related groups are analyzed. An inhomogeneous group is a subgroup of a homogeneous one because of nonlinearities of the realization. Conservation of baryons (protons can't decay) is explained and proven. Reasons for various realizations, so matrix elements, of the Lorentz group given. The clearly relevant mass level formula is compared with experimental values. Questions, implications and possibilities, including for differential equations, are raised.

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## Product Details:

**Genre** |
: Science |

**Author** |
: R. Mirman |

**Publisher** |
: iUniverse |

**Release** |
: 2005-02 |

**Total Pages** |
: 316 Pages |

**ISBN** |
: 9780595336920 |

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## Product Details:

**Genre** |
: Group theory |

**Author** |
: Théo Kahan |

**Publisher** |
: |

**Release** |
: 1966 |

**Total Pages** |
: Pages |

**ISBN** |
: UCAL:B4254490 |

Multi-author volume on the history and philosophy of physics.

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## Product Details:

**Genre** |
: Science |

**Author** |
: Tian Yu Cao |

**Publisher** |
: Cambridge University Press |

**Release** |
: 2004-03-25 |

**Total Pages** |
: 420 Pages |

**ISBN** |
: 0521602726 |

This text systematically presents the basics of quantum mechanics, emphasizing the role of Lie groups, Lie algebras, and their unitary representations. The mathematical structure of the subject is brought to the fore, intentionally avoiding significant overlap with material from standard physics courses in quantum mechanics and quantum field theory. The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject. This text showcases the numerous differences between typical mathematical and physical treatments of the subject. The latter portions of the book focus on central mathematical objects that occur in the Standard Model of particle physics, underlining the deep and intimate connections between mathematics and the physical world. While an elementary physics course of some kind would be helpful to the reader, no specific background in physics is assumed, making this book accessible to students with a grounding in multivariable calculus and linear algebra. Many exercises are provided to develop the reader's understanding of and facility in quantum-theoretical concepts and calculations.

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## Product Details:

**Genre** |
: Science |

**Author** |
: Peter Woit |

**Publisher** |
: Springer |

**Release** |
: 2017-11-01 |

**Total Pages** |
: 668 Pages |

**ISBN** |
: 9783319646121 |

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## Product Details:

**Genre** |
: Group theory |

**Author** |
: Théo Kahan |

**Publisher** |
: |

**Release** |
: 1965 |

**Total Pages** |
: Pages |

**ISBN** |
: UOM:39015017401335 |

The Foundations of Quantum Theory discusses the correspondence between the classical and quantum theories through the Poisson bracket-commutator analogy. The book is organized into three parts encompassing 12 chapters that cover topics on one-and many-particle systems and relativistic quantum mechanics and field theory. The first part of the book discusses the developments that formed the basis for the old quantum theory and the use of classical mechanics to develop the theory of quantum mechanics. This part includes considerable chapters on the formal theory of quantum mechanics and the wave mechanics in one- and three-dimension, with an emphasis on Coulomb problem or the hydrogen atom. The second part deals with the interacting particles and noninteracting indistinguishable particles and the material covered is fundamental to almost all branches of physics. The third part presents the pertinent equations used to illustrate the relativistic quantum mechanics and quantum field theory. This book is of value to undergraduate physics students and to students who have background in mechanics, electricity and magnetism, and modern physics.

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## Product Details:

**Genre** |
: Science |

**Author** |
: Sol Wieder |

**Publisher** |
: Elsevier |

**Release** |
: 2012-12-02 |

**Total Pages** |
: 415 Pages |

**ISBN** |
: 9780323141710 |

This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence.

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## Product Details:

**Genre** |
: Science |

**Author** |
: Klaas Landsman |

**Publisher** |
: Springer |

**Release** |
: 2017-05-11 |

**Total Pages** |
: 861 Pages |

**ISBN** |
: 9783319517773 |