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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Relativity, Symmetry, and the Structure of Quantum Theory, Volume 2 - Point Form Relativistic Quantum Mechanics (Hardcover)
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Relativity, Symmetry, and the Structure of Quantum Theory, Volume 2 - Point Form Relativistic Quantum Mechanics (Hardcover)
Series: IOP Concise Physics
Expected to ship within 10 - 15 working days
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The first version of quantum theory, developed in the mid 1920's,
is what is called nonrelativistic quantum theory; it is based on a
form of relativity which, in a previous volume, was called Newton
relativity. But quickly after this first development, it was
realized that, in order to account for high energy phenomena such
as particle creation, it was necessary to develop a quantum theory
based on Einstein relativity. This in turn led to the development
of relativistic quantum field theory, which is an intrinsically
many-body theory. But this is not the only possibility for a
relativistic quantum theory. In this book we take the point of view
of a particle theory, based on the irreducible representations of
the Poincare group, the group that expresses the symmetry of
Einstein relativity. There are several ways of formulating such a
theory; we develop what is called relativistic point form quantum
mechanics, which, unlike quantum field theory, deals with a fixed
number of particles in a relativistically invariant way. A central
issue in any relativistic quantum theory is how to introduce
interactions without spoiling relativistic invariance. We show that
interactions can be incorporated in a mass operator, in such a way
that relativistic invariance is maintained. Surprisingly for a
relativistic theory, such a construction allows for instantaneous
interactions; in addition, dynamical particle exchange and particle
production can be included in a multichannel formulation of the
mass operator. For systems of more than two particles, however,
straightforward application of such a construction leads to the
undesirable property that clusters of widely separated particles
continue to interact with one another, even if the interactions
between the individual particles are of short range. A significant
part of this volume deals with the solution of this problem. Since
relativistic quantum mechanics is not as well-known as relativistic
quantum field theory, a chapter is devoted to applications of point
form quantum mechanics to nuclear physics; in particular we show
how constituent quark models can be used to derive electromagnetic
and other properties of hadrons.
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