Dynamics of Classical and Quantum Fields

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A01=Girish S. Setlur
advanced quantum field problem solving
Annihilation Operator
Author_Girish S. Setlur
Bosonization
Category=PHP
Category=PHQ
Classical fields
coherent states
Commutation Rules
Conserved Quantity
elasticity theory
Energy Density
Energy Momentum Tensor
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eq_nobargain
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fluid mechanics
Free Fermions
Generalized Coordinates
Grassmann Variables
Green Function
Hubbard Model
Lagrange Equation
Lagrangian Densities
LL
Many-body theory
Momentum Distribution
Noether theorem
Noether's Theorem
Noether’s Theorem
Nuclear Magnetic Resonance
Particle Hole Pairs
Path Integral
Path Integral Approach
Path integrals for fermions
Quantum fields
quantum lattice models
Quantum Mechanical Version
RPA
Single Particle Green Function
stress energy tensor
Ti Dt
Time Dependent Schrodinger Equation
v4vF

Product details

  • ISBN 9781466556287
  • Weight: 880g
  • Dimensions: 178 x 254mm
  • Publication Date: 05 Dec 2013
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Dynamics of Classical and Quantum Fields: An Introduction focuses on dynamical fields in non-relativistic physics. Written by a physicist for physicists, the book is designed to help readers develop analytical skills related to classical and quantum fields at the non-relativistic level, and think about the concepts and theory through numerous problems. In-depth yet accessible, the book presents new and conventional topics in a self-contained manner that beginners would find useful. A partial list of topics covered includes:

  • Geometrical meaning of Legendre transformation in classical mechanics
  • Dynamical symmetries in the context of Noether’s theorem
  • The derivation of the stress energy tensor of the electromagnetic field, the expression for strain energy in elastic bodies, and the Navier Stokes equation
  • Concepts of right and left movers in case of a Fermi gas explained
  • Functional integration is interpreted as a limit of a sequence of ordinary integrations
  • Path integrals for one and two quantum particles and for a fermion in presence of a filled Fermi sea
  • Fermion and boson Fock spaces, along with operators that create and annihilate particles
  • Coherent state path integrals
  • Many-body topics such as Schrieffer Wolff transformation, Matsubara, and Keldysh Green functions
  • Geometrical meaning of the vortex-vortex correlation function in a charged boson fluid
  • Nonlocal particle-hole creation operators which diagonalize interacting many-body systems

The equal mix of novel and traditional topics, use of fresh examples to illustrate conventional concepts, and large number of worked examples make this book ideal for an intensive one-semester course for beginning Ph.D. students. It is also a challenging and thought provoking book for motivated advanced undergraduates.

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