Abstract: Quantum mechanics — central not only to physics, but also to chemistry, materials science, and other fields — is notoriously abstract and difficult. This book is a concise, explanatory book that focuses on the fundamental structure, concepts, and methods of quantum mechanics, filling the gap between introductory and advanced studies, between popularizations and technical treatises. Although physical understanding is emphasized, the mathematical sophistication necessary to achieve that understanding is also developed. A modern perspective is adopted throughout, the goal being to gain entry into quantum mechanics as used by practicing scientists. This perspective includes a focus on quantum states generally, not just wavefunctions, and a strong emphasis on Dirac notation. Many standard topics are developed, such as the Schrödinger equation, quantum states, operators, and matrix mechanics. Some non-standard topics are also discussed, such as the complex nature of quantum states, and various interpretations of the uncertainty relations. Discussion of applications is limited, and focuses on elucidating the structure of quantum mechanics.

Keywords: wavefunction, Dirac notation, Schrödinger equation, quantum state, operator, matrix mechanics