Group Theory And Quantum Mechanics

Group Theory and Quantum Mechanics PDF
Author: Michael Tinkham
Publisher: Courier Corporation
ISBN: 0486131661
Size: 56.67 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 352
View: 6009

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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.

The Theory Of Groups And Quantum Mechanics

The Theory of Groups and Quantum Mechanics PDF
Author: Hermann Weyl
Publisher: Courier Corporation
ISBN: 9780486602691
Size: 69.45 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 422
View: 5476

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This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves — rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations.

Group Theory

Group Theory PDF
Author: Eugene P. Wigner
Publisher: Elsevier
ISBN: 1483275760
Size: 64.76 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 384
View: 4134

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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.

Group Theory And Quantum Mechanics

Group Theory and Quantum Mechanics PDF
Author: Bartel L. van der Waerden
Publisher: Springer Science & Business Media
ISBN: 3642658601
Size: 11.44 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 211
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The German edition of this book appeared in 1932 under the title "Die gruppentheoretische Methode in der Quantenmechanik". Its aim was, to explain the fundamental notions of the Theory of Groups and their Representations, and the application of this theory to the Quantum Mechanics of Atoms and Molecules. The book was mainly written for the benefit of physicists who were supposed to be familiar with Quantum Mechanics. However, it turned out that it was also used by. mathematicians who wanted to learn Quantum Mechanics from it. Naturally, the physical parts were too difficult for mathematicians, whereas the mathematical parts were sometimes too difficult for physicists. The German language created an additional difficulty for many readers. In order to make the book more readable for physicists and mathe maticians alike, I have rewritten the whole volume. The changes are most notable in Chapters 1 and 6. In Chapter t, I have tried to give a mathematically rigorous exposition of the principles of Quantum Mechanics. This was possible because recent investigations in the theory of self-adjoint linear operators have made the mathematical foundation of Quantum Mechanics much clearer than it was in t 932. Chapter 6, on Molecule Spectra, was too much condensed in the German edition. I hope it is now easier to understand. In Chapter 2-5 too, numerous changes were made in order to make the book more readable and more useful.

Applications Of Group Theory In Quantum Mechanics

Applications of Group Theory in Quantum Mechanics PDF
Author: M. I. Petrashen
Publisher: Courier Corporation
ISBN: 0486172724
Size: 46.10 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 336
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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.

Die Gruppentheoretische Methode In Der Quantenmechanik

Die Gruppentheoretische Methode in der Quantenmechanik PDF
Author: Bartel Leendert van der Waerden
Publisher: Springer-Verlag
ISBN: 3662021870
Size: 29.90 MB
Format: PDF, Mobi
Category : Mathematics
Languages : de
Pages : 160
View: 2103

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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.

Gruppentheorie Und Ihre Anwendung Auf Die Quantenmechanik Der Atomspektren

Gruppentheorie und ihre Anwendung auf die Quantenmechanik der Atomspektren PDF
Author: Eugene Paul Wigner
Publisher: Springer-Verlag
ISBN: 3663025551
Size: 35.56 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : de
Pages : 332
View: 3855

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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 In Physics

Group Theory in Physics PDF
Author: Wu-Ki Tung
Publisher: World Scientific Publishing Company
ISBN: 981310404X
Size: 37.35 MB
Format: PDF, Kindle
Category : Representations of groups
Languages : en
Pages : 336
View: 3045

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An introductory text book for graduates and advanced undergraduates on group representation theory. It emphasizes group theory's role as the mathematical framework for describing symmetry properties of classical and quantum mechanical systems. Familiarity with basic group concepts and techniques is invaluable in the education of a modern-day physicist. This book emphasizes general features and methods which demonstrate the power of the group-theoretical approach in exposing the systematics of physical systems with associated symmetry. Particular attention is given to pedagogy. In developing the theory, clarity in presenting the main ideas and consequences is given the same priority as comprehensiveness and strict rigor. To preserve the integrity of the mathematics, enough technical information is included in the appendices to make the book almost self-contained. A set of problems and solutions has been published in a separate booklet. Request Inspection Copy

Group Theory In Quantum Mechanics

Group Theory in Quantum Mechanics PDF
Author: Volker Heine
Publisher: Courier Corporation
ISBN: 9780486675855
Size: 42.42 MB
Format: PDF, ePub, Mobi
Category : Science
Languages : en
Pages : 468
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Introduces research students in physics and chemistry to the three main uses of group theory in quantum mechanics: to label energy levels and the corresponding eigenstates; to discuss qualitatively the splitting of energy levels starting from an approximate Hamiltonian and adding correction terms; and to aid in the evaluation of matrix elements of all kinds. The book requires a previous course in quantum theory, but the matrix algebra is included as an appendix. A series of examples of varying levels of difficulty follows each chapter.

Group Theory And Its Application To Physical Problems

Group Theory and Its Application to Physical Problems PDF
Author: Morton Hamermesh
Publisher: Courier Corporation
ISBN: 0486140393
Size: 74.32 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages : 544
View: 1322

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One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum physics. With problems.