TY - BOOK AU - Razavy,Mohsen TI - Classical and quantum dissipative systems SN - 9789813207912 U1 - 530.145 PY - 2017/// CY - New Jersey PB - World Scientific KW - Energy dissipation KW - Quantum theory KW - Mechanics N1 - Includes bibliographical references and index; Researchers and graduate students in applied mathematics and theoretical physics N2 - 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 UR - https://www.worldscientific.com/doi/reader/10.1142/9789813207929_fmatter UR - https://www.goodreads.com/book/show/33948197-classical-and-quantum-dissipative-systems#CommunityReviews ER -