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Dynamics of Classical and Quantum Fields - An Introduction (Hardcover)
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Dynamics of Classical and Quantum Fields - An Introduction (Hardcover)
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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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