Dynamics of classical and quantum fields. (2014)

• Record Type: Book
• Further Information: Note: Girish S. Setlur.
• Other Names: Setlur, Girish S, 1968-
• Contents: The Countable and the Uncountable; Review of Lagrangian Mechanics; The Hamiltonian Formulation; Flows and Symmetries; Dynamics of a Continuous System; Variational Methods; ; Symmetries and Noether’s Theorem; Noether’s Theorem in a Lagrangian Setting; Noether’s Theorem in a Hamiltonian Setting; Dynamical Symmetries; Symmetries in Field Theories; ; The Electromagnetic Field and Stress Energy Tensor; Relativistic Nature of the Electromagnetic Field; Lagrangian of the EM Field; Stress Energy Tensor of the EM Field; Solution of Maxwell’s Equations Using Green’s Functions; Diffraction Theory; ; Elasticity Theory and Fluid Mechanics; Stress and Strain Tensor of Deformable Bodies; Strain Energy; Euler and Navier Stokes Equations; Bernoulli’s equation for an incompressible fluid; Navier Stokes Equation; Conserved Quantities and Dissipation Rates; Turbulence; ; Toward Quantum Fields: Scalar and Spinor Fields; Some Solutions of the Schrodinger Equation; Some Properties of the Dirac Equation and Klein Gordon Equations; ; Concept of functional integration; Integration over Functions; Perturbation Theory; ; Quantum Mechanics Using Lagrangians: Path Integrals; The Formalism; Free Particles; Harmonic Oscillator; Two-Particle Green Functions; ; Creation and Annihilation Operators in Fock Space; Introduction to Second Quantization; Creation and Annihilation Operators in Many-Body Physics; Green Functions in Many-Body Physics; Hamiltonians Using Creation and Annihilation Operators; Current Algebra; ; Quantum Fields on a Lattice; Derivation of the Tight Binding Picture; Schrieffer-Wolff Transformation; ; Green Functions: Matsubara and Nonequilibrium; Matsubara Green Functions; Nonequilibrium Green Functions; Schwinger-Dyson Equations; ; Coherent State Path Integrals; CSPI for a Harmonic Oscillator; CSPI for a Fermionic Oscillator; Generalization to Fields; ; Nonlocal Operators; Quantum Vortices in a Charged Boson Fluid; Nonlocal Particle Hole Creation Operators; The Sea-Boson; ; Non-chiral Bosonization of Fermions in One Dimension; A Critique of Conventional Chiral Bosonization; General Considerations; Impurity in a Luttinger Liquid; Closed Form for Full Propagator
• Publisher Details: Boca Raton : Taylor & Francis
• Publication Date: 2014
• Extent: 1 online resource
• Subjects: 530; Physics -- Textbooks; Quantum theory -- Textbooks; Physics; Quantum theory; Electronic books; Textbooks
• Languages: English
• ISBNs: 9781466556294; 1466556293
• Notes: Note: Includes bibliographical references and index.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.