Dissipative forces play an important role in problems of classical
as well as quantum mechanics. Since these forces are not among the
basic forces of nature, it is essential to consider whether they
should be treated as phenomenological interactions used in the
equations of motion, or they should be derived from other
conservative forces. In this book we discuss both approaches in
detail starting with the Stoke's law of motion in a viscous fluid
and ending with a rather detailed review of the recent attempts to
understand the nature of the drag forces originating from the
motion of a plane or a sphere in vacuum caused by the variations in
the zero-point energy. In the classical formulation, mathematical
techniques for construction of Lagrangian and Hamiltonian for the
variational formulation of non-conservative systems are discussed
at length. Various physical systems of interest including the
problem of radiating electron, theory of natural line width,
spin-boson problem, scattering and trapping of heavy ions and
optical potential models of nuclear reactions are considered and
solved.
General
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