Title: Origins Science Scholars Program "Principles of Quantum Mechanics"
Speaker: Harsh Mathur, PhD
Location: Degrace Hall, Case Western Reserve University, Cleveland, Ohio
Date: April 5, 2011
The variational principles of mechanics are used both to construct the equations of motion of a mechanical system in the simplest form and to study the general properties of these motions. In the corresponding generalization of concepts, they are also used in continuum mechanics, thermodynamics, electrodynamics, quantum mechanics, relativity theory, and other fields.
R. Shankar has introduced major additions and updated key presentations in this second edition of Principles of Quantum Mechanics. New features of this innovative text include an entirely rewritten mathematical introduction, a discussion of Time-reversal invariance, and extensive coverage of a variety of path integrals and their applications. Additional highlights include:
Among the integral variational principles of mechanics are the principles of least (stationary) action. According to these principles the true motion, among those kinematically possible motions of a system between two of its positions, is the one for which the physical quantity, called the action, has a minimum value. Different forms of these variational principles are characterized by the choice of the quantity of action and by the special features of the kinematically possible motions being compared.