Simpao V., Little H.C. (eds.) Understanding the Schrödinger Equation: Some [Non]Linear Perspectives

New York: Nova Science, 2020. — 314 p.The current offering from Nova Science Publishers titled Understanding the Schrödinger Equation: Some [Non]Linear Perspectives is a collection of selectively invited manuscripts from some of the world’s leading workers in quantum dynamics; particularly as concerning Schrödinger’s wavefunction formalism. The work is dedicated to providing an “illustrative sketch” of a few of the numerous and sundry aspects of the Schrödinger 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 Schrödinger systems and their attendant mathematical developments.
Expressly, the book contains
A chapter meant to give a new pedagogical paradigm for teaching an understanding of quantum mechanics, via the Schrödinger equation as an extension of probability theory...
A chapter addressing the Schrödinger equation written in the second quantization formalism, derived from first principles; towards a deeper understanding of classical-quantum correspondence...
A chapter discussing the connection between the Schrödinger equation and one of the most intuitive research fields in classical mechanics: the theory of nonlinear water waves...
A chapter which investigates wave solutions of the generalized nonlinear time-dependent Schrödinger-like equation describing a cosmogonical body formation...
A chapter addressing the nonlinear Schrödinger equation: a mathematical model with its wide-ranging applications and analytical results...
A chapter investigating analytical self-similar and traveling-wave solutions of the Madelung equations obtained from the Schrödinger equation...
A chapter which puts forth a novel paradigm of infinite dimensional quantum phase space extension of the Schrödinger equation...
A chapter which discusses a metaplectic Bohmian formalism from classical (Hamilton’s equations) to quantum physics (Schrödinger’s equation): the Metatron...
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 Schrödinger equation.