Group Theory: And Its Application to the Quantum Mechanics of Atomic Spectra

Eugene P. Wigner

ISBN 10: 1483250784 / ISBN 13: 9781483250786

Editore: Academic Press, 2016

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384 pages. 9.25x6.25x0.87 inches. In Stock. Codice articolo zk1483250784

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Titolo: Group Theory: And Its Application to the ...

Casa editrice: Academic Press

Data di pubblicazione: 2016

Legatura: Paperback

Condizione: Brand New

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Group Theory and its Application to the Quantum Mechanics of Atomic Spectra describes the applications of group theoretical methods to problems of quantum mechanics with particular reference to atomic spectra. The manuscript first takes a look at vectors and matrices, generalizations, and principal axis transformation. Topics include principal axis transformation for unitary and Hermitian matrices; unitary matrices and the scalar product; linear independence of vectors; and real orthogonal and symmetric matrices. The publication also ponders on the elements of quantum mechanics, perturbation theory, and transformation theory and the bases for the statistical interpretation of quantum mechanics. The book discusses abstract group theory and invariant subgroups, including theorems of finite groups, factor group, and isomorphism and homomorphism. The text also reviews the algebra of representation theory, rotation groups, three-dimensional pure rotation group, and characteristics of atomic spectra. Discussions focus on eigenvalues and quantum numbers, spherical harmonics, and representations of the unitary group. The manuscript is a valuable reference for readers interested in the applications of group theoretical methods.