000 02866cam a22003378i 4500
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010 _a 2022002549
020 _a9781009187053
_q(hardback)
040 _aDLC
_beng
_erda
_cIISERB
042 _apcc
050 0 0 _aQC20.7.G76
_bM85 2022
082 0 0 _a530.15222 M896C
_223/eng20220321
100 1 _aMukunda, Narasimhaiengar.
_929698
245 1 0 _aContinuous groups for physicists
_cNarasimhaiengar Mukunda, Subhash Chaturvedi.
260 _aCambridge:
_bCambridge University Press,
_c2022.
263 _a2204
300 _axvi, 280p.
504 _aIncludes bibliographical references and index.
520 _a"The theory of groups and group representations is an important part of mathematics with applications in other areas of mathematics as well as in physics. It is basic to the study of symmetries of physical systems. Its mathematical concepts are equally significant in understanding complex physical systems. It offers the necessary tools to describe, for instance, crystal structures, elementary particles with spin, both Galilean symmetric and special relativistic quantum mechanics, the fundamental properties of canonical commutation relations, and spinor representations of orthogonal groups extensively used in quantum field theory. Continuous Groups for Physicists introduces the ideas of continuous groups and their applications to graduate students and researchers in theoretical physics. The book begins with an introduction to groups and group representations in the context of finite groups. This is followed by a chapter on the special algebraic features of the symmetric groups. The authors then present the theory of Lie groups, Lie algebras, and in particular the classical families of compact simple Lie groups and their representations. Several interesting topics not often found in standard physics texts are then presented: the spinor representations of the real orthogonal groups, the real symplectic groups in even dimensions, induced representations, the Schwinger representation concept, the Wigner theorem on symmetry operations in quantum mechanics, and the Euclidean, Galilei, Lorentz, and Poincare groups associated with spacetime. The general methods and notions of quantum mechanics are used as background throughout"--
650 0 _aGroup theory.
_929699
650 0 _aRepresentations of groups.
_929700
650 0 _aContinuous groups.
_929701
700 1 _aChaturvedi, Subhash.
_929702
776 0 8 _iOnline version:
_aMukunda, Narasimhaiengar.
_tContinuous groups for physicists
_dNew York : Cambridge University Press, 2022
_z9781009187060
_w(DLC) 2022002550
906 _a7
_bcbc
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c10134
_d10134