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Path Integrals in Physics: Volume I, Stochastic Processes and
Quantum Mechanics presents the fundamentals of path integrals, both
the Wiener and Feynman type, and their many applications in
physics. Accessible to a broad community of theoretical physicists,
the book deals with systems possessing a infinite number of degrees
in freedom. It discusses the general physical background and
concepts of the path integral approach used, followed by a detailed
presentation of the most typical and important applications as well
as problems with either their solutions or hints how to solve them.
It describes in detail various applications, including systems with
Grassmann variables. Each chapter is self-contained and can be
considered as an independent textbook. The book provides a
comprehensive, detailed, and systematic account of the subject
suitable for both students and experienced researchers.
Symmetries in Quantum Mechanics: From Angular Momentum to
Supersymmetry (PBK) provides a thorough, didactic exposition of the
role of symmetry, particularly rotational symmetry, in quantum
mechanics. The bulk of the book covers the description of rotations
(geometrically and group-theoretically) and their representations,
and the quantum theory of angular momentum. Later chapters
introduce more advanced topics such as relativistic theory,
supersymmetry, anyons, fractional spin, and statistics. With clear,
in-depth explanations, the book is ideal for use as a course text
for postgraduate and advanced undergraduate students in physics and
those specializing in theoretical physics. It is also useful for
researchers looking for an accessible introduction to this
important area of quantum theory.
The path integral approach has proved extremely useful for the
understanding of the most complex problems in quantum field theory,
cosmology, and condensed matter physics. Path Integrals in Physics:
Volume II, Quantum Field Theory, Statistical Physics and other
Modern Applications covers the fundamentals of path integrals, both
the Wiener and Feynman types, and their many applications in
physics. The book deals with systems that have an infinite number
of degrees of freedom. It discusses the general physical background
and concepts of the path integral approach used, followed by a
detailed presentation of the most typical and important
applications as well as problems with either their solutions or
hints how to solve them. Each chapter is self-contained and can be
considered as an independent textbook. It provides a comprehensive,
detailed, and systematic account of the subject suitable for both
students and experienced researchers.
Path Integrals in Physics: Volume I, Stochastic Processes and
Quantum Mechanics presents the fundamentals of path integrals, both
the Wiener and Feynman type, and their many applications in
physics. Accessible to a broad community of theoretical physicists,
the book deals with systems possessing a infinite number of degrees
in freedom. It discusses the general physical background and
concepts of the path integral approach used, followed by a detailed
presentation of the most typical and important applications as well
as problems with either their solutions or hints how to solve them.
It describes in detail various applications, including systems with
Grassmann variables. Each chapter is self-contained and can be
considered as an independent textbook. The book provides a
comprehensive, detailed, and systematic account of the subject
suitable for both students and experienced researchers.
In recent years, gauge fields have attracted much attention in
elementary par ticle physics. The reason is that great progress has
been achieved in solving a number of important problems of field
theory and elementary particle physics by means of the quantum
theory of gauge fields. This refers, in particular, to constructing
unified gauge models and theory of strong interactions between the
elementary particles. This book expounds the fundamentals of the
quantum theory of gauge fields and its application for constructing
unified gauge models and the theory of strong interactions. In
writing the book, the authors' aim was three-fold: firstly, to
outline the basic ideas underlying the unified gauge models and the
theory of strong inter actions; secondly, to discuss the major
unified gauge models, the theory of strong interactions and their
experimental implications; and, thirdly, to acquaint the reader
with a rather special mathematical approach (path-in tegral method)
which has proved to be well suited for constructing the quantum
theory of gauge fields. Gauge fields are a vigorously developing
area. In this book, we have select ed for presentation the more or
less traditional and commonly accepted mate rial. There also exist
a number of different approaches which are presently being
developed. The most important of them are touched upon in the
Conclusion."
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