Quantum Mechanics – Concepts, Problems and Solutions, Vol. I

This book Quantum Mechanics provides a comprehensive coverage of both fundamental topics (e.g., wave-particle duality, Schrödinger equation, quantum states, operators) and advanced topics (e.g., perturbation theory, JWKB approximation, scattering theory). It thoroughly addresses the quantum mechanics syllabus prescribed for various universities at large as well as competitive exams such as CSIR-NET, GATE, and IIT JAM. Emphasis is placed on building a strong foundation with clear explanation of basic concepts, to understand the underlying principles of Quantum Mechanics, crucial for solving complex problems without getting overwhelmed by unnecessary details. The book (Volume 1 and 2) includes more than 400 solved examples that illustrate the application of concepts. In addition, it provides a wide range of practice problems with varying levels of difficulty to help students test their understanding and improve problem-solving skills. A collection of previous years’ questions from various competitive exams is also included, helping students familiarize themselves with the exam pattern and the types of questions commonly asked. Detailed step-by-step solutions are provided for all problems, for understanding the methodology and approach required to solve complex questions, particularly helpful for self-study. Summaries and key concepts are provided at the end of each chapter for quick revision before exams. Overall, this book serves as a robust and efficient preparation tool, helping students achieve their academic and career goals. Contents Volume 1 I Fundamental of QuantumMechanicsx 1 The Classical State 2 Origins of Quantum Mechanics 3 The Wave-like Behaviour of Electrons 4 The Quantum State 5 Dynamics of the Quantum State 6 Energy and Uncertainty 7 Operators and Observations II Exact Solution 8 Rectangular Potentials 9 The Harmonic Oscillator 10 Symmetry and Degeneracy 11 Angular Momentum 12 3-Dimensional Problems Volume 2 III Election Spin 13 Election.