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Group Theory in Quantum Mechanics - (Dover Books on Physics) by Volker Heine (Paperback)

Group Theory in Quantum Mechanics - (Dover Books on Physics) by  Volker Heine (Paperback) - image 1 of 1
Group Theory in Quantum Mechanics - (Dover Books on Physics) by  Volker Heine (Paperback) - image 1 of 1
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About this item

Specifications

Number of Pages: 468

Genre: Science

Series Title: Dover Books on Physics

Format: Paperback

Publisher: Dover Publications

Book theme: Quantum Theory

Author: Volker Heine

Language: English

Street Date: April 19, 2007
TCIN: 77779301
UPC: 9780486458786
Item Number (DPCI): 247-08-1623

Description

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.
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