Quantum Mechanics (QM) is an extension of Classical Mechanics in the absence of General Relativity. Today, Quantum Mechanics permeates all walks of physics: Nanoscience, High Energy Physics, Condensed Matter, Biophysics, Quantum Computation and Quantum Information. This book is written with the view of providing learners a fast track into the modern applications of quantum physics. It is designed as a book of Problems and Solutions, consisting of more than 200 exercises with explicit workings.Focusing on modern research topics, problems are designed to suit recent contexts like the 2D-graphene, topological materials, spintronics, and quantum computation and information (QCI). Categorized into eight chapters, the book first introduces QM for undergraduates with an emphasis on the Dirac formalism and its representation in matrices and functions. Chapter 2 is dedicated to spin physics, where spin or spinor formalism is increasingly relevant to research on spintronics, graphene, topological systems, Dirac, Weyl, and all branches of quantum information sciences. Chapter 3 deals with second quantization and its applications in nanoscience and condensed matter physics. Building on the foundations of the previous two chapters, Chapter 4 expounds on the non-equilibrium Green’s Function (NEGF) — a modern topic with problems designed to suit applications in nanoscale electronic and spintronic systems. Chapter 5 is about gauge and topology with modern emphasis on applications in new materials like graphene and topological systems. Chapter 6 comprises numerous advanced sub-topics in condensed matter physics as well as conventional topics like band structure and modern problems in entanglement entropy. Chapter 7 extends to cross-disciplinary and miscellaneous physics, where the topics are not necessarily quantum by nature, but deal with issues that have inspired the development of quantum mechanics and quantum fields. Lastly, the book caters to QCI with a preamble on the QM foundation of spin, projection, measurement, and density matrix which underpin applications in quantum gates, teleportation and entanglement.With a solid command of undergraduate mathematics, readers can expect a handy and effective guide in mastering problem-solving techniques in the modern and frontier applications of quantum physics.Key FeaturesProblems are designed across a broad spectrum of modern research topics, e.g. QCI, NEGF for nanoscale electronics and spintronics, gauge and topology in new materialsSolutions are explicit and self-explanatorySolutions are substantiated with remarks and reflections, making them more accessible to self-learners

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