Description

Book Synopsis
This book is a comprehensive text in the field of quantum mechanics, covering fundamental concepts including the state of a quantum mechanical system, operators, superposition principle and measurement postulate. The notion of an operator and the algebra of operators are introduced with the help of elementary concepts of mathematical analysis. Mathematical tools developed will help readers in understanding the difficulties encountered in classical physics while trying to explain the experimental results involving atomic spectra and other phenomena. The differential equations that arise while solving eigenvalue problems are solved rigorously, to make the text self-sufficient. The solutions are then physically interpreted and explained. The text offers solved examples, analogous and homework problems to help students in solving practical problems of physics requiring quantum mechanical treatment.

Table of Contents
Preface; Acknowledgement; Dedication; 1. Introduction; 2. The postulates of quantum mechanics; 3. One-dimensional problems; 4. Algebraic formulation for quantum mechanics; 5. Quantum mechanics in three spatial dimensions; 6. Quantum mechanical theory of orbital angular momentum; 7. Simple magnetic field effects; 8. Quantum mechanical theory of spin angular momentum; 9. Addition of angular momenta; 10. Quantum mechanics of many particle systems; 11. Symmetry and conservation laws; 12. Relativistic generalization; References; Index.

Fundamentals of Quantum Mechanics

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      Description

      Book Synopsis
      This book is a comprehensive text in the field of quantum mechanics, covering fundamental concepts including the state of a quantum mechanical system, operators, superposition principle and measurement postulate. The notion of an operator and the algebra of operators are introduced with the help of elementary concepts of mathematical analysis. Mathematical tools developed will help readers in understanding the difficulties encountered in classical physics while trying to explain the experimental results involving atomic spectra and other phenomena. The differential equations that arise while solving eigenvalue problems are solved rigorously, to make the text self-sufficient. The solutions are then physically interpreted and explained. The text offers solved examples, analogous and homework problems to help students in solving practical problems of physics requiring quantum mechanical treatment.

      Table of Contents
      Preface; Acknowledgement; Dedication; 1. Introduction; 2. The postulates of quantum mechanics; 3. One-dimensional problems; 4. Algebraic formulation for quantum mechanics; 5. Quantum mechanics in three spatial dimensions; 6. Quantum mechanical theory of orbital angular momentum; 7. Simple magnetic field effects; 8. Quantum mechanical theory of spin angular momentum; 9. Addition of angular momenta; 10. Quantum mechanics of many particle systems; 11. Symmetry and conservation laws; 12. Relativistic generalization; References; Index.

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