A Mathematical Journey to Quantum Mechanics

Wladimir-Georges Boskoff is graduates Faculty of Mathematics of the University of Bucharest in 1982 - PhD in 1994. Since 1990, he became Member of the Department of Mathematics providing courses in Euclidean and Non-Euclidean Geometry, Differential Geometry, Calculus on Manifolds, Mechanics and Relativity, Astronomy, History of Mathematics, Basic Quantum Mechanics, etc. Among his previous books, "A Mathematical Journey to Relativity" with Salvatore Capozziello, Springer, 2020, and "Discovering Geometry: An Axiomatic Approach" with Adrian Vijiac, Matrixrom, 2011/2014. Salvatore Capozziello is Full Professor in Astronomy and Astrophysics at the Department of Physics of Universit di Napoli "Federico II" and Former President of the Italian Society for General Relativity and Gravitation (SIGRAV). Since 2013, he is Professor Honoris Causa at the Tomsk State Pedagogical University (TSPU), Russian Federation. His scientific activity is devoted to research topics in general relativity, cosmology, relativistic astrophysics, and physics of gravitation in their theoretical and phenomenological aspects. His research interests are extended theories of gravity and their cosmological and astrophysical applications; large-scale structure of the universe; gravitational lensing; gravitational waves; galactic dynamics; quantum phenomena in a gravitational field; quantum cosmology. He published almost 600 scientific papers and 5 books.

Introduction: How to read this book.- Newtonian, Lagrangian and Hamiltonian Mechanics.- Can Light be described by Classical Mechanics?.- Why Quantum Mechanics?.- The Schrödinger Equations and Their Consequences.- The Mathematics behind the Harmonic Oscillator.- From Monochromatic Plane Waves to Wave Packets.- The Heisenberg Uncertainty Principle and the Mathematics behind.- The Principles of Quantum Mechanics.- Consequences of Quantum Mechanics Principles.- Quantum Mechanics at the Next Level.- Conclusions.