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• LDR

  00000nam c2200205 c 4500

• 001

  000000496993

• 005

  20190523095529

• 008

  190522s2017 sz b 001 0 engd

• 020

  ▼a  9783319646107:
  ▼c  EURO79.99

• 035

  ▼a  (KERIS)BIB000014733450

• 040

  ▼a  211047
  ▼c  211047
  ▼d  211047

• 100

  ▼a  Woit, Peter

• 245

  ▼a  Quantum theory, groups and representations:
  ▼b  an introduction/
  ▼d  Peter Woit.

• 260

  ▼a  Switzerland:
  ▼b  Springer,
  ▼c  2017.

• 300

  ▼a  xxii, 668 p.;
  ▼c  25 cm.

• 504

  ▼a  Includes bibliographical references and index.

• 505

  ▼a  Preface -- 1 Introduction and Overview -- 2 The Group U(1) and its Representations -- 3 Two-state Systems and SU(2) -- 4 Linear Algebra Review, Unitary and Orthogonal Groups -- 5 Lie Algebras and Lie Algebra Representations -- 6 The Rotation and Spin Groups in 3 and 4 Dimensions -- 7 Rotations and the Spin 1/2 Particle in a Magnetic Field -- 8 Representations of SU(2) and SO(3) -- 9 Tensor Products, Entanglement, and Addition of Spin -- 10 Momentum and the Free Particle -- 11 Fourier Analysis and the Free Particle -- 12 Position and the Free Particle -- 13 The Heisenberg group and the Schrödinger Representation -- 14 The Poisson Bracket and Symplectic Geometry -- 15 Hamiltonian Vector Fields and the Moment Map -- 16 Quadratic Polynomials and the Symplectic Group -- 17 Quantization -- 18 Semi-direct Products.- 19 The Quantum Free Particle as a Representation of the Euclidean Group -- 20 Representations of Semi-direct Products -- 21 Central Potentials and the Hydrogen Atom -- 22 The Harmonic Oscillator -- 23 Coherent States and the Propagator for the Harmonic Oscillator -- 24 The Metaplectic Representation and Annihilation and Creation Operators, d = 1 -- 25 The Metaplectic Representation and Annihilation and Creation Operators, arbitrary d -- 26 Complex Structures and Quantization -- 27 The Fermionic Oscillator -- 28 Weyl and Clifford Algebras -- 29 Clifford Algebras and Geometry -- 30 Anticommuting Variables and Pseudo-classical Mechanics -- 31 Fermionic Quantization and Spinors -- 32 A Summary: Parallels Between Bosonic and Fermionic Quantization -- 33 Supersymmetry, Some Simple Examples -- 34 The Pauli Equation and the Dirac Operator -- 35 Lagrangian Methods and the Path Integral -- 36 Multi-particle Systems: Momentum Space Description -- 37 Multi-particle Systems and Field Quantization -- 38 Symmetries and Non-relativistic Quantum Fields -- 39 Quantization of Infinite dimensional Phase Spaces -- 40 Minkowski Space and the Lorentz Group -- 41 Representations of the Lorentz Group -- 42 The Poincaré Group and its Representations -- 43 The Klein-Gordon Equation and Scalar Quantum Fields -- 44 Symmetries and Relativistic Scalar Quantum Fields -- 45 U(1) Gauge Symmetry and Electromagnetic Field -- 46 Quantization of the Electromagnetic Field: the Photon -- 47 The Dirac Equation and Spin-1/2 Fields -- 48 An Introduction to the Standard Model -- 49 Further Topics -- A Conventions -- B Exercises -- Index.

• 990

  ▼a  황상민

• 991

  ▼a  단행본

• 090

  ▼a  530.12
  ▼b  W82q