Group Theory in Quantum Mechanics: An Introduction to Its Present Usage

Heine, Volker

ISBN 10: 0486458784 / ISBN 13: 9780486458786

Editore: Dover Publications, 2007

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Titolo: Group Theory in Quantum Mechanics: An ...

Casa editrice: Dover Publications

Data di pubblicazione: 2007

Legatura: Paperback

Condizione: Good

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Riassunto:

Geared toward research students in physics and chemistry, this text introduces the three main uses of group theory in quantum mechanics: (1) to label energy levels and the corresponding eigenstates; (2) to discuss qualitatively the splitting of energy levels, starting from an approximate Hamiltonian and adding correction terms; and (3) to aid in the evaluation of matrix elements of all kinds.
"The theme," states author Volker Heine, "is to show how all this is achieved by considering the symmetry properties of the Hamiltonian and the way in which these symmetries are reflected in the wave functions." Early chapters cover symmetry transformations, the quantum theory of a free atom, and the representations of finite groups. Subsequent chapters address the structure and vibrations of molecules, solid state physics, nuclear physics, and relativistic quantum mechanics.
A previous course in quantum theory is necessary, but the relevant matrix algebra appears in an appendix. A series of examples of varying levels of difficulty follows each chapter. They include simple drills related to preceding material as well as extensions of theory and further applications. The text is enhanced with 46 illustrations and 12 helpful appendixes.

Product Description:

This text introduces research students in physics and chemistry to the three main uses of group theory in quantum mechanics. It requires a previous course in quantum theory, but matrix algebra appears in an appendix. A series of examples of varying levels of difficulty follows each chapter. 1960 edition.