This book is a collection of selectively invited manuscripts from some of the world's leading workers in quantum dynamics; particularly concerning Schrodinger's wavefunction formalism. The work is dedicated to providing an "e;illustrative sketch"e; of a few of the numerous and sundry aspects of the Schrodinger equation; ranging from a new pedagogical teaching approach, to technical applications and foundational considerations. Towards this end, the work is generally of a theoretical nature, expounding various physical aspects of both linear and nonlinear Schrodinger systems and their attendant mathematical developments. The book is written in a lucid style, nicely marrying physical intuition with mathematical insight. As such, it should be of interest to workers in Schrodinger theory and related areas, and generally to those who seek a deeper understanding of some of the linear and nonlinear perspectives of the Schrodinger equation.
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