Group Theory And Quantum Mechanics

Author: Michael Tinkham
Publisher: Courier Corporation
ISBN: 0486131661
Size: 73.10 MB
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Graduate-level text develops group theory relevant to physics and chemistry and illustrates their applications to quantum mechanics, with systematic treatment of quantum theory of atoms, molecules, solids. 1964 edition.

Group Theory In Quantum Mechanics

Author: Volker Heine
Publisher: Courier Corporation
ISBN: 0486174336
Size: 34.27 MB
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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.

Group Theory And Chemistry

Author: David M. Bishop
Publisher: Courier Corporation
ISBN: 9780486673554
Size: 56.82 MB
Format: PDF, Mobi
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Concise, self-contained introduction to group theory and its applications to chemical problems. Symmetry, matrices, molecular vibrations, transition metal chemistry, more. Relevant math included. Advanced-undergraduate/graduate-level. 1973 edition.

Quantum Mechanics In Chemistry

Author: George C. Schatz
Publisher: Courier Corporation
ISBN: 0486136728
Size: 53.15 MB
Format: PDF, ePub, Docs
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Advanced graduate-level text looks at symmetry, rotations, and angular momentum addition; occupation number representations; and scattering theory. Uses concepts to develop basic theories of chemical reaction rates. Problems and answers.

Applications Of Group Theory In Quantum Mechanics

Author: M. I. Petrashen
Publisher: Courier Corporation
ISBN: 0486172724
Size: 51.74 MB
Format: PDF, Mobi
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Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications. The text's main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of "additional" degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.

Symmetry

Author: Roy McWeeny
Publisher: Courier Corporation
ISBN: 0486138801
Size: 79.54 MB
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Well-organized volume develops ideas of group and representation theory in progressive fashion. Emphasis on finite groups describing symmetry of regular polyhedra and of repeating patterns, plus geometric illustrations.

Modern Quantum Chemistry

Author: Attila Szabo
Publisher: Courier Corporation
ISBN: 0486134598
Size: 57.36 MB
Format: PDF, Kindle
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This graduate-level text explains the modern in-depth approaches to the calculation of electronic structure and the properties of molecules. Largely self-contained, it features more than 150 exercises. 1989 edition.

Group Theory And Physics

Author: S. Sternberg
Publisher: Cambridge University Press
ISBN: 9780521558853
Size: 79.62 MB
Format: PDF
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This book is an introduction to group theory and its application to physics. The author considers the physical applications and develops mathematical theory in a presentation that is unusually cohesive and well-motivated. The book discusses many modern topics including molecular vibrations, homogeneous vector bundles, compact groups and Lie groups, and there is much discussion of the group SU(n) and its representations, which is of great significance in elementary particle physics. The author also considers applications to solid-state physics. This is an essential resource for senior undergraduates and researchers in physics and applied mathematics.

Spins In Chemistry

Author: Roy McWeeny
Publisher: Courier Corporation
ISBN: 0486434869
Size: 71.40 MB
Format: PDF, Mobi
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Originally delivered as a series of lectures, this volume systematically traces the evolution of the "spin" concept from its role in quantum mechanics to its assimilation into the field of chemistry. Author Roy McWeeny presents an in-depth illustration of the deductive methods of quantum theory and their application to spins in chemistry, following the path from the earliest concepts to the sophisticated physical methods employed in the investigation of molecular structure and properties. Starting with the origin and development of the spin concept, the text advances to an examination of spin and valence; reviews a simple example of the origin of spin Hamiltonians; and explores spin density, spin populations, and spin correlation. Additional topics include nuclear hyperfine effects and electron spin-spin coupling, the g tensor, and chemical shifts and nuclear spin-spin coupling.