Quantum Mechanics: Theory and Application Ghatak, Ajoy

Quantum mechanics has long been recognized as an essential ingredient in the training of a student in Physics, Chemistry and Electrical Engineering. No matter which specialization the student chooses in his later career, it is necessary for him to develop not merely an understanding of the basic principles of quantum mechanics but an ability to apply these principles in his field.Textbooks on quantum mechanics addressed to students at under-graduate and post-graduate levels generally have few solved problems; moreover, the problems suggested are largely of an academic nature with a greater emphasis on theory than on applications

Acknow ledgements
Preface
Prologue
Chronological Development of Quantum Mechanics:
A Very Brief Account
Physical Constants
Part I: Mathematical Preliminaries
Chapter I: The Dirac Delta Function
Chapter 2: Fourier Transforms
Part II: Basic Quantum Mechanics
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Chapter 3: Particles and Waves and the Uncertainty Principle 31
Chapter 4: Time Dependent Schrbdinger Equation 71
Chapter 5: Propagation of Wave Packets and Concept of Group Velocity 89
Chapter 6: Bound State Solutions of the SchrOdinger Equation lIS
Chapter 7: Linear Harmonic Oscillator: I
Solution of the Schrbdinger Equation and Relationship
with the Classical Oscillator 159
Chapter 8: One-Dimensional Barrier Transmission Problems 197
Chapter 9: Angular Momentum I-The Spherical Harmonics 221
Chapter 10: Spherically Symmetric Potentials Hydrogen Atom Problem,
Rotation Vibration Spectra, Three-Dimensional Oscillator 245
Chapter 11: Dirac's Bra and Ket Algebra 291
Chapter 12: Linear Harmonic Oscillator II
Solutions Using Bra and Ket Algebra 308
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Chapter 13: Angular Momentum II
Using Bra and Ket Algebra 339
Chapter 14: Experiments with Spin Half Particles
The Stern-Gerlach Experiment, Larmor Precession
and Magnetic Resonance 357
Chapter 15: Angular momentum III
Eigenfunctions Using Operator Algebra 389
Chapter 16: The Double Well Potential and the Krbnig-Penney Model 401
Chapter 17: The JWKB Approximation 423
Chapter 18: Addition of Angular Momenta:
The Clebsch-Gordan Coefficients 478
Chapter 19: Time Independent Perturbation Theory 493
Chapter 20: Effects of Magnetic Field 534
Chapter 21: The Variational Method 560
Chapter 22: The Helium Atom and the Exclusion Principle 579
Chapter 23: Some Select Topics 598
Chapter 24: Elementary Theory of Scattering 625
Chapter 25: Time Dependent Perturbation Theory 676
Chapter 26: The Semi-Classical Theory of Radiation and the
Einstein Coefficients 716
Chapter 27: The Quantum Theory of Radiation and Its Interaction with
Matter 742
Chapter 28: Relativistic Theory 779
Appendices 809
Index 855

English