Principles of Quantum Mechanics

Abstract

Very few introductions to quantum mechanics present an accurate overview of the subject.¹ This limitation does not constitute a great drawback, since quantum mechanics is ultimately justified by its internal consistency and power of prediction. However, in order to avoid some frequent shortcomings that exist in many presentations,² this introduction describes first the mathematical tools used in the formulation of quantum mechanics and then the connections between the physical world and mathematical formalism. Such links constitute the fundamental principles of quantum mechanics. They are valid for every specific realization of these principles. Subsequently, their most immediate consequences are presented: the quantum process of measurement and relations of uncertainty.