
Quantum Mechanics: Theory and Applications
Springer (Publisher)
Published on 31. March 2004
Book
Hardback
XLVIII, 864 pages
978-1-4020-1850-3 (ISBN)
Description
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.
More details
Series
Edition
2004 ed.
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XLVIII, 864 p.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 54 mm
Weight
1519 gr
ISBN-13
978-1-4020-1850-3 (9781402018503)
DOI
10.1007/978-1-4020-2130-5
Schweitzer Classification
Other editions
Additional editions

Ajoy Ghatak | S. Lokanathan
Quantum Mechanics: Theory and Applications
Book
03/2004
Springer
€374.49
Shipment within 15-20 days
Persons
K. Thyagarajan has been working in the general area of Photonics and in particular in Fiber 2 Optics since 1973 and has published more than 125 research papers in international journals and coauthored seven books with Professor Ajoy Ghatak. He has been teaching courses related to Lasers, Fiber Optics, Quantum Electronics, Optical Electronics, Electromagnetics since the past thirty years. Thyagarajan was elected Fellow of the Optical Society of America in 2005, was honored in 2003 with the title "Officier dans l'ordre des Palmes Academiques" by the French Government and was awarded the "Fiber Optic Person of the Year 1997" award (jointly) by Lucent Technologies- Finolex and Voice and Data. He was a consultant to Tejas Networks India Pvt. Ltd., Bangalore and has held visiting positions in Thomson-CSF, France and University of Florida, Gainesville, USA.
Ajoy Ghatak has recently retired as Professor of Physics from IIT Delhi. He obtained his MSc from Delhi University and PhD fromCornell University. His research areas are Fiber Optics and Quantum Mechanics. He has several books in these areas and some of them have been translated into foreign languages. The first edition of OPTICS has been translated into Chinese and Persian. Professor Ghatak is a recipient of several awards including the 2008 SPIE Educator Award in recognition of his unparalleled global contributions to the field of fiber optics research, and his tireless dedication to optics education worldwide and throughout the developing world in particular. He has also received the 2003 Optical Society of America Esther Hoffman Beller award in recognition of his outstanding contributions to optical science and engineering education. Furthermore, he is a recipient of the 1979 CSIR S S Bhatnagar award, the 1990 UGC Meghnad Saha award, the 2003 International Commission for Optics Galileo Galilei award and the 2007 Lifetime Achievement Award of the Optical Society of India.
Content
I: Mathematical Preliminaries.- 1: The Dirac Delta Function.- 2: Fourier Transforms.- II: Basic Quantum Mechanics.- 3: Particles and Waves and the Uncertainty Principle.- 4: Time Dependent Schrödinger Equation.- 5: Propagation of Wave Packets and Concept of Group Velocity.- 6: Bound State Solutions of the Schrödinger Equation.- 7: Linear Harmonic Oscillator: I Solution of the Schrödinger Equation and Relationship with the Classical Oscillator.- 8: One-Dimensional Barrier Transmission Problems.- 9: Angular Momentum I The Spherical Harmonics.- 10: Spherically Symmetric Potentials Hydrogen Atom Problem, Rotation Vibration Spectra, Three-Dimensional Oscillator.- 11: Dirac's Bra and Ket Algebra.- 12: Linear Harmonic Oscillator II Solutions Using Bra and Ket Algebra.- 13: Angular Momentum II Using Bra and Ket Algebra.- 14: Experiments with Spin Half Particles The Stern-Gerlach Experiment, Larmor Precession and Magnetic Resonance.- 15: Angular momentum III Eigenfunctions Using Operator Algebra.- 16: The Double Well Potential and the Krönig-Penney Model.- 17: The JWKB Approximation.- 18: Addition of Angular Momenta: The Clebsch-Gordan Coefficients.- 19: Time Independent Perturbation Theory.- 20: Effects of Magnetic Field.- 21: The Variational Method.- 22: The Helium Atom and the Exclusion Principle.- 23: Some Select Topics.- 24: Elementary Theory of Scattering.- 25: Time Dependent Perturbation Theory.- 26: The Semi-Classical Theory of Radiation and the Einstein Coefficients.- 27: The Quantum Theory of Radiation and Its Interaction with Matter.- 28: Relativistic Theory.- Appendices.