group theory and quantum mechanics dover books on chemistry

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Group Theory And Quantum Mechanics

Author : Michael Tinkham
ISBN : 9780486131665
Genre : Science
File Size : 20. 97 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
ISBN : 9780486174334
Genre : Science
File Size : 79. 86 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
ISBN : 0486673553
Genre : Science
File Size : 70. 76 MB
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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.

Applied Group Theory

Author : George H. Duffey
ISBN : 9780486783147
Genre : Science
File Size : 79. 44 MB
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This text introduces advanced undergraduates and graduate students to key applications of group theory. Topics include the nature of symmetry operations; applications to vibrating systems, continuum mechanics, and quantum structures; permutation, continuous, and rotation groups; and physical Lie algebras. Each chapter concludes with a concise review, discussion questions, problems, and references. 1992 edition.

Gruppentheorie Und Ihre Anwendung Auf Die Quantenmechanik Der Atomspektren

Author : Eugene Paul Wigner
ISBN : 9783663025559
Genre : Mathematics
File Size : 59. 34 MB
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Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Group Theory And Its Application To Physical Problems

Author : Morton Hamermesh
ISBN : 0486661814
Genre : Science
File Size : 35. 97 MB
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"A remarkably intelligible survey . . . well organized, well written and very clear throughout." — Mathematical Reviews This excellent text, long considered one of the best-written, most skillful expositions of group theory and its physical applications, is directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. No knowledge of group theory is assumed, but the reader is expected to be familiar with quantum mechanics. And while much of the book concerns theory, readers will nevertheless find a large number of physical applications in the fields of crystallography, molecular theory, and atomic and nuclear physics. The first seven chapters of the book are concerned with finite groups, focusing on the central role of the symmetric group. This section concludes with a chapter dealing with the problem of determining group characters, as it discusses Young tableaux, Yamanouchi symbols, and the method of Hund. The remaining five chapters discuss continuous groups, particularly Lie groups, with the final chapter devoted to the ray representation of Lie groups. The author, Professor Emeritus of Physics at the University of Minnesota, has included a generous selection of problems. They are inserted throughout the text at the place where they naturally arise, making the book ideal for self-study as well as for classroom assignment. 77 illustrations. "A very welcome addition to [the] literature. . . . I would warmly recommend the book to all serious students of Group Theory as applied to Physics." — Contemporary Physics. Index. Bibliography. Problems. Tables.

Grundlagen Der Chemie

Author : Linus Pauling
ISBN : 3527253920
Genre : Chemistry
File Size : 31. 63 MB
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Problems And Solutions In Quantum Chemistry And Physics

Author : Charles S. Johnson
ISBN : 9780486151533
Genre : Science
File Size : 24. 74 MB
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Unusually varied problems, with detailed solutions, cover quantum mechanics, wave mechanics, angular momentum, molecular spectroscopy, scattering theory, more. 280 problems, plus 139 supplementary exercises.

Symmetry

Author : Roy McWeeny
ISBN : 9780486138800
Genre : Science
File Size : 83. 73 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.

Philosophische Grundlagen Der Quantenmechanik

Author : Hans Reichenbach
ISBN : 9783034841306
Genre : Science
File Size : 75. 91 MB
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