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Quantum Mechanics : Theory and Applications - Ajoy Ghatak

Quantum Mechanics

Theory and Applications


Published: 31st March 2004
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An understanding of quantum mechanics is vital to all students of physics, chemistry and electrical engineering, but requires a lot of mathematical concepts, the details of which are given with great clarity in this book. Various concepts have been derived from first principles, so it can also be used for self-study. The chapters on the JWKB approximation, time-independent perturbation theory and effects of magnetic field stand out for their clarity and easy-to-understand mathematics. Two complete chapters on the linear harmonic oscillator provide a very detailed discussion of one of the most fundamental problems in quantum mechanics. Operator algebra is used to show the ease with which one can calculate the harmonic oscillator wave functions and study the evolution of the coherent state. Similarly, three chapters on angular momentum give a detailed account of this important problem. Perhaps the most attractive feature of the book is the excellent balance between theory and applications and the large number of applications in such diverse areas as astrophysics, nuclear physics, atomic and molecular spectroscopy, solid-state physics, and quantum well structures.

From the reviews:

"This is a textbook addressed to students at undergraduate and postgraduate levels. It has evolved from lectures given by the authors to students of physics and engineering. a ] each chapter is followed by a number of well-selected problems with solutions. The problems and solutions a ] are very helpful for students to become familiar with methods explained in the chapter for solving problems. a ] Appendices A-P contain information indispensable for the smooth reading and for the solution of the problems." (Valentin Zagrebnov, Zentralblatt MATH, Vol. 1059 (10), 2005)

"Ghatak (Indian Institute of Technology) and Lokanathan (Bangalore-Jawahar Lal Nehru Planetarium, India) discuss the full range of quantum mechanics an advanced undergraduate is expected to know, plus topics normally reserved for first-year graduate studies. a ] The strength of the book is in the applications; thus students will better understand how quantum mechanics is used by practicing scientists. Summing Up: Recommended. Upper-division undergraduate and graduate students." (E. Kincanon, CHOICE, Vol. 42 (5), 2005)

"The most important fact about this book is the wonderful admixture of theory and applications. a ] The problems are treated at a level that can be understood by the novice student. The second noteworthy aspect of the book are the large number of worked problems a ] . There is plenty of material here for an instructor a ] . The book is a ] a reference book for working quantum physicists. Ita (TM)s strong points include clarity of presentation, lucidity, extensive figures/diagrams, and applications." (V.Lakshminarayanan, Foundations of Physics, Vol. 35 (6), 2005)

Chronological Development of Quantum Mechanics: A Very Brief Account
Physical Constants
Mathematical Preliminaries
The Dirac Delta Function
Fourier Transforms
Basic Quantum Mechanics
Particles and Waves and the Uncertainty Principle
Time Dependent Schrodinger Equation
Propagation of Wave Packets and Concept of Group Velocity
Bound State Solutions of the Schrodinger Equation
Linear Harmonic Oscillator: I. Solution of the Schrodinger Equation and Relationship with the Classical Oscillator
One-Dimensional Barrier Transmission Problems
Angular Momentum I - The Spherical Harmonics
Spherically Symmetric Potentials Hydrogen Atom Problem
Rotation Vibration Spectra
Three-Dimensional Oscillator
Dirac's Bra and Ket Algebra
Linear Harmonic Oscillator: II. Solutions Using Bra and Ket Algebra
Angular Momentum II Using Bra and Ket Algebra
Experiments with Spin Half Particles
The Stern-Gerlach Experiment
Larmor Precession and Magnetic Resonance
Angular Momentum III Eigenfunctions Using Operator Algebra
The Double Well Potential and the Kronig-Penney Model
The JWKB Approximation
Addition of Angular Momenta: The Clebsch-Gordan Coefficients
Time Independent Perturbation Theory
Effects of Magnetic Field
The Variational Method
The Helium Atom and the Exclusion Principle
Some Select Topics
Elementary Theory of Scattering
Time Dependent Perturbation Theory
The Semi-Classical Theory of Radiation and the Einstein Coefficients
The Quantum Theory of Radiation and Its Interaction with Matter
Relativistic Theory
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9781402018503
ISBN-10: 1402018509
Series: Fundamental Theories of Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 864
Published: 31st March 2004
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.5 x 15.5  x 3.81
Weight (kg): 1.72