000			02811nam a2200277Ia 4500
003			OSt
005			20250904092804.0
008			220909b |||||||| |||| 00| 0 eng d
020			_a812240975X
037			_cTextual
040			_aCSL _beng _cCSL
041			_aeng
084			_aB270bC L3;N7;11-;15 _qCSL
100			_aJoshi, A. W. _eauthor _9494690
245		0	_aElements of group theory for physicists
250			_a4th ed.
260			_aNew Delhi: _bNew Age International Publishers, _c1997
300			_axiii, 305p.
500			_aAppendices A-D, 278-296p.; References 297-300p.; Index 301305p.
520			_ahe mathematical study of group theory was initiated in the early nineteenth century by such mathematicians as Gauss, Cauchy, Abel, Hamilton, Galois, Cayley, and many others. However, the advantages of group theory in physics were not recognized till 1925 when it was applied for formal study of theoretical foundations of quantum mechanics, atomic structures and spectra by, to name a few, H A Bethe, E P Wigner, etc. It has now become indispensable in several branches of physics and physical chemistry. Dr. Joshi develops the mathematics of group theory and then goes on to present its applications to quantum mechanics, crystallography, and solid state physics. For proper comprehension of representation theory, he has covered thoroughly such diverse but relevant topics as Hilbert spaces, function spaces, operators, and direct sum and product of matrices. He often proceeds from the particular to the general so that the beginning student does not have an impression that group theory is merely a branch of abstract mathematics. Various concepts have been explained consistently by the use of the C4v. Besides, it contains an improved and more general proof of the Schurs first lemma and an interpretation of the orthogonality theorem in the language of vector spaces (Chapter 3).Throughout the text the author gives attention to details and avoids complicated notation. This is a valuable book for senior students and researchers in physics and physical chemistry. A thorough understanding of the methodology and results contained in this book will provide the reader sound theoretical foundations for advanced study of quantum mechanics, solid state physics and atomic and particle physics to help students a flow-chart explaining step by step the method of determining a parallel-running example illustrating the procedure in full details have been included. An appendix on mappings and functions has also been added.
650			_a Group theory _9820043
650			_aMathematics
942			_hB270bC L3;N7;11-;15 _cTEXL _2CC _n0
999			_c23533 _d23533