Balachandran A.P., Marmo G., Skagerstam B.S., Stern A. Classical Topology and Quantum States

World Scientific Publishing, 1991. — 375 p.Classical Mechanics and Quantum States
The Dirac-Bergman Theory of ConstraintsConstraint Analysis
Quantization Procedure
Nonrelativistic Particles with Fixed SpinThe Hamiltonian Description
The Lagrangian Description
Gauge Properties of Lg
Principal Fibre Bundles
Gauge Fixing
Connections in a Principal Fibre Bundle
Horizontal Lifts in a Principal Fibre Bundle
Magnetic MonopolesEquations of Motion
The Hamiltonian Formalism
The Lagrangian Formalism
Gauge Properties of L
The Canonical Formalism and QuantizationNonrelativistic Spinning Particles
The "Gupta-Bleuler" Approach to Quantization
Magnetic Monopoles
The Wess-Zumino Term and the Path SpaceThe Charge-Monopole System
Wave Functions and the Bundle Q for a Wess-Zumino Term
Quantum Symmetries and the Wess-Zumino TermThe Group G
The Charge-Monopole System Revisited
Quantum Theory for Multiply Connected Configuration SpacesThe Universal Covering Space
and the Fundamental Group
Examples of Multiply Connected
Configuration Spaces
Quantization on Multiply
Connected Configuration Spaces
Nonabelian Fundamental Groups
The Case of the Asymmetric Rotor
Topological Solitons and Nonlinear Models
Topological Solitons in One and Two DimensionsA Soliton in One Dimension
Solitons in Two Dimensions
Nonlinear Models as Gauge TheoriesExamples of Nonlinear Models
The Chern-Simons TermThe Chern-Simons Term in the 2 + 1
Dimensional Nonlinear sigma-Model
Skyrmions
The Effective Lagrangian for QCDThe QCD Effective Chiral Lagrangian
Skyrme Solitons for Two FlavoursThe Size of the Soliton and the Skyrme Term
The "Spherically Symmetric" Ansatz
Semiclassical Quantization of the Skyrmion
Preliminary Discussion of Skyrme's ProposalsPhenomenological Comments
Electric Charge for Two Flavours
Baryon Number and Spin of the SkyrmionWinding Number is Baryon Number
Skyrmion is Spinorial
The Wess-Zumino Term in Collective Coordinates
Canonical Quantization
More on the Wess-Zumino TermThe Chiral Model in 1 + 1 Space-Time
The Chiral Model in 3 + 1 Space-Time
Reduction of the Wess-Zumino Term
Electric Charges and the Wess-Zumino
Term
The Wess-Zumino-Novikov-Witten Model
A Hierarchy of "Spherically Symmetric" AnsatzeA General Definition of
Spherical Symmetry
The Dibaryon
Quantization Ambiguities for
Any Number of Flavours
Skyrmion PhenomenologyStatic Properties in the Two-Flavoured Model
Baryon Masses in the Three-Flavoured Model
Electroweak SkirmionsThe GSW Theory and the
Strong Coupling Limit
The "Spherically Symmetric" Ansatz
Semiclassical Quantization
Phenomenological Properties
Gauge, Gravity and String Theories
Multiply Connected Configuration Spaces in Gauge and Gravity TheoriesThe Canonical Formalism and an Approach to "theta States" in Gauge and Gravity Theories
The Configuration Space for Nonabelian Gauge Theories
The Configuration Space for Gravity Theories
The Domain of Wave Functions in Gauge Theories and Gravity
Comments on Observables
Geons and Their PropertiesThe Prime Decomposition Theorem and Gravitational Geons
Spinorial States from Pure Gravity
Statistics, Strings and GravityStatistics in a Plane
Unoriented Strings
Oriented Strings
Quantum Gravity
Concluding Remarks