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Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

Introduction to Quantum Mechanics

Krishnendu Sengupta, Indian Association for the Cultivation of Science, Kolkata
Palash B. Pal, University of Calcutta
February 2025
Paperback
9781009338424

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    This book provides a lucid introduction to the basic ideas of quantum mechanics. Meant for undergraduate and graduate physics students, it contains discussions on advanced topics that will be beneficial for researchers also. The text is designed according to the syllabi followed in major Indian universities. Chapters are designed to provide an equal emphasis to physical as well as mathematical significance of concepts. The text is divided in four parts. The first part introduces concepts of formalism and includes topics, namely wave-particle duality, state vectors, and symmetry. The second part comprises discussions on exactly solvable problems. This is followed by the third part which deals with various approximation techniques including degenerate and non-degenerate perturbation theory, WKB approximation, and Born approximation. The fourth part of this book deals with advanced topics like permutation symmetry, Dirac particle in a central potential, and EPR paradox.

    • Introduction to quantum mechanics based on Poisson brackets
    • Coverage of basic topics ranging from wave-particle duality and Schrödinger equation to modern ones such as Bell inequalities and coherent state
    • Exercises for deeper understanding of concepts
    • Appendices on Delta function, Special functions, and Saddle-point method

    Product details

    February 2025
    Paperback
    9781009338424
    450 pages
    241 × 184 × 24 mm
    0.77kg
    Not yet published - available from February 2025

    Table of Contents

    • Preface
    • Part I. Formalism:
    • 1. Uncertainty
    • 2. State vectors
    • 3. Quantum dynamics
    • 4. Time evolution of quantum systems
    • 5. Symmetry
    • Part II. Exact Solutions:
    • 6. The free particle
    • 7. Exactly solvable problems in one dimension
    • 8. Angular momentum
    • 9. Exactly solvable problems in three dimensions
    • 10. Particles in magnetic fields
    • Part III. Approximations:
    • 11. Approximation methods
    • 12. Time-dependent problems
    • 13. Scattering theory
    • Part IV. Advanced Topics:
    • 14. Identical particles
    • 15. Relativistic corrections
    • 16. Interpretation of quantum mechanics
    • 17. Miscellaneous topics
    • Part V. Appendices: A. Delta function
    • B. Solution of second-order differential equations
    • C. Special functions
    • D. Further properties of special functions
    • E. Saddle-point method
    • Index.