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QuantumMechanicsByBKAgarwalHariPrakash

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Bernetta Adachi

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Dec 9, 2023, 6:10:57 PM12/9/23
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Quantum Mechanics By B.K. Agarwal Hari Prakash: A Review
Quantum Mechanics By B.K. Agarwal Hari Prakash is a well-organized and comprehensive textbook that covers both relativistic and non-relativistic quantum mechanics in one single volume. It is suitable for postgraduate courses in physics and related fields. The book presents the fundamental principles and applications of quantum theory, with examples from atomic and molecular physics, solid state physics and nuclear physics. The mathematical treatment is rigorous and thorough, and the book is supplemented with numerous problems, with hints provided for the difficult ones.



QuantumMechanicsByBKAgarwalHariPrakash

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The book has 16 chapters, covering topics such as postulates of quantum mechanics, principles of quantum mechanics, one-dimensional barriers, bound states in one dimension, angular momentum, central potential problems, WKB approximation, electron in the electromagnetic field, matrix representations, spin and magnetic moment, perturbation theory, variational method, scattering theory, identical particles and many-body systems, relativistic quantum mechanics and atoms and molecules. The book also includes appendices on Dirac delta function, Fourier transforms, spherical harmonics, Legendre polynomials and associated Legendre functions.


The book has received mixed reviews from readers. Some have praised the book for its logical and systematic coverage of the subject matter, its clarity of exposition and its pedagogical value. Others have criticized the book for its lack of physical intuition, its skipping of many steps in derivations and its lack of references for further reading. The book is also said to contain some errors and typos that need to be corrected.


Overall, Quantum Mechanics By B.K. Agarwal Hari Prakash is a comprehensive and rigorous textbook that can be useful for students and teachers of quantum mechanics. However, it may not be suitable for beginners or those who prefer a more intuitive approach to the subject.



One of the strengths of the book is its coverage of relativistic quantum mechanics, which is often neglected or treated superficially in other textbooks. The book introduces the Dirac equation and its solutions, the Klein-Gordon equation, the relativistic hydrogen atom and the spin-orbit coupling. The book also discusses the relativistic corrections to the energy levels and spectra of atoms and molecules, and the fine and hyperfine structures. The book also explains the origin of the spin-statistics theorem and the Pauli exclusion principle from relativistic quantum mechanics.


Another strength of the book is its inclusion of many-body systems and their applications to solid state physics and nuclear physics. The book introduces the concept of second quantization and its use in describing identical particles and their interactions. The book also discusses the Hartree-Fock method, the Koopmans theorem, the periodic system, the corrections to the central field approximation and the x-ray terms. The book also covers topics such as lattice vibrations, phonons, electrons in metals, band theory, semiconductors and superconductivity.






However, the book also has some weaknesses that may limit its appeal to some readers. One of them is its lack of physical intuition and motivation for some of the concepts and results. The book often presents mathematical formulas and derivations without explaining their physical meaning or significance. The book also does not provide enough examples or applications to illustrate the concepts or results. The book also does not provide enough historical or philosophical context for some of the developments in quantum mechanics.

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