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Full Description
Foundations of Quantum Mechanics is written in simple and elegant style. Mathematical derivations are presented in complete detail with a lucid discussion of their physical significance. Symmetries inherent in quantum systems are brought out in a lucid way.
Salient Features:
The first chapter provides a comprehensive presentation of the historical aspects of the development.
A brief review of classical mechanics is provided in the second chapter with a view to draw analogies between quantum and classical approaches wherever appropriate.
The third chapter introduces the Dirafunction and connection between Dirac function and Fourier transforms.
A formal conceptual basis for the understanding of the eigenvalue problems, properties of state and eigenvectors and their closure and completeness conditions—is laid in the fourth chapter.
Postulatory basis of quantum mechanics is discussed in Chapter 5 and one-dimensional problems in Chapters 6 and 8. A brief account of the WKB approximation is provided in chapter 7.
The central force problems are discussed with special emphasis on the hydrogen atom in Chapter 9.
The isotropic oscillator and its symmetries are discussed in Chapter 10.
Chapter 14 deals extensively with the theory of angular momentum, the spherical tensor operators and Wigner-Eckart theorem. The D-functions and their connection to spherical harmonics, integrals involving D-functions, the 3-j and 9-j symbols and their symmetry properties are also discussed.
Chapters 15, 16 and 17 are concerned with unitary transformations, Schrödinger, Heisenberg and interaction pictures, infinitesimal transformations and invariance properties of physical systems and symmetries of identical particles.
Relativistic quantum mechanics is presented in Chapter 18. Zitterbewegung, bilinear covariants, the one-electron problem, charge conjugation and whole theory are discussed in complete detail.
