4 edition of **Group Theory and Quantum Mechanics (Grundlehren der mathematischen Wissenschaften)** found in the catalog.

Group Theory and Quantum Mechanics (Grundlehren der mathematischen Wissenschaften)

Bartel L. van der Waerden

- 135 Want to read
- 0 Currently reading

Published
**September 1, 1986**
by Springer
.

Written in English

- Group Theory,
- Mathematical Physics,
- Group,
- Gruppe (Math.),
- Mathematics / Group Theory,
- Quantenmechanik,
- Mathematics

The Physical Object | |
---|---|

Format | Hardcover |

Number of Pages | 211 |

ID Numbers | |

Open Library | OL9625464M |

ISBN 10 | 354006740X |

ISBN 10 | 9783540067405 |

Group theory and quantum mechanics. [B L van der Waerden] Book, Internet Resource: All Authors / Contributors: B L van der Waerden. Find more information about: ISBN: X X # Group theory\/span>\n \u00A0\u00A0\u00A0\n schema. 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.

Group Theory and its Application to the Quantum Mechanics of Atomic Spectra [Hardcover] Eugene P. Wigner and J. J. Griffin ISBN ISBN New. Description of the book "Group Theory and Quantum Mechanics": This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by.

This book is devoted to the consistent and systematic application of group theory to quantum mechanics. Beginning with a detailed introduction to the classical theory of groups, Dr. Weyl continues with an account of the fundamental results of quantum physics/5(17). The fact that particles in the quantum field can exist in superpositions and undergo collapse is purely a consequence of my assumption that the individual ball-and-springs can exist in superpositions and undergo collapse. In that sense, QFT does not help to explain where the basic laws of quantum mechanics come from.

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The first two chapters alone are probably worth 80% of the book's sale price. The rest is made up entirely of the fact that the book does not piddle around with trivial examples, but genuinely frames quantum mechanics in the language of group theory, and the most important part is that Tinkham does it by: Reprint of Edition.

Full facsimile of the original edition, not reproduced with Optical Recognition Software. 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 Cited by: Publisher Summary.

This chapter presents the mechanical aspects of handling group representations in general. Before there is a use group theory in quantum mechanics, it is important to have systematic procedures, applicable to an arbitrary group for labelling and describing the irreducible representations, reducing a given representation and deriving all the different irreducible representations.

This book is intended for theoretical physicists with a desire to understand the value of modern group-theoretical methods in quantum theory. The theory of groups and of their matrix representations of the invariance group of a Hamiltonian and the eigenvalue degeneracy is developed, the theory is applied to a variety of typical physical situations, usually quantum mechanical.

This book is a great read in that Tinkham develops the parts of group theory which are relevant to physics and chemistry and sufficiently shows how it applies to QM as a whole. Particularly insightful was Tinkhams discussions of the Bloch wavefunction as a consequence of the Abelian symmetry group/5.

Group Theory and Quantum Mechanics - Ebook written by Michael Tinkham. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Group Theory and Quantum : Michael Tinkham. Quantum Theory, Groups and Representations: An Introduction Peter Woit Department of Mathematics, Columbia University [email protected] I L.

Falicov, Group Theory and Its Physical Applications (University of Chicago Press, Chicago, ). small paperback; compact introduction I E. Wigner, Group Theory (Academic, ). classical textbook by the master I Landau and Lifshitz, Quantum Mechanics, Ch.

XII (Pergamon, ) brief introduction into the main aspects of group. This graduate-level text develops aspects of group theory most relevant to physics and chemistry and illustrates their applications to quantum mechanics: abstract group theory, theory of group representations, physical applications of group theory, full rotation group and angular momentum, quantum mechanics of atoms, molecular quantum mechanics, and solid-state theory.

edition. The German edition of this book appeared in 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.

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.2/5(1).

This book is devoted to the consistent and systematic application of group theory to quantum mechanics. Beginning with a detailed introduction to the classical theory of groups, Dr. Weyl continues with an account of the fundamental results of quantum physics.

There is a book titled "Group theory and Physics" by Sternberg that covers the basics, including crystal groups, Lie groups, representations. I think it's a good introduction to the topic. To quote a review on Amazon (albeit the only one): "This book is an excellent introduction to the use of group theory in physics, especially in crystallography, special relativity and particle physics.

Symmetries in quantum mechanics describe features of spacetime and particles which are unchanged under some transformation, in the context of quantum mechanics, relativistic quantum mechanics and quantum field theory, and with applications in the mathematical formulation of the standard model and condensed matter general, symmetry in physics, invariance, and conservation laws, are.

The NOOK Book (eBook) of the Applications of Group Theory in Quantum Mechanics by M. Petrashen, J. Trifonov | at Barnes & Noble. FREE Shipping Due to Pages: This book, an abridgment of Volumes I and II of the highly respected Group Theory in Physics, presents a carefully constructed introduction to group theory and its applications in book provides anintroduction to and description of the most important basic.

The rotation group in three dimensions, with considerable group theory and applications to quantum mechanics. Lipkin, Lie Groups for Pedestrians (Amsterdam: North-Holland Publ.

Co., ). An account of the use of groups in elementary particle theory from the heyday of SU 3. 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 5/5(2).

This graduate-level text develops the aspects of group theory most relevant to physics and chemistry (such as the theory of representations) and illustrates their applications to quantum mechanics. The first five chapters focus chiefly on the introduction of methods, illustrated by physical examples, and the final three chapters offer a systematic treatment of the quantum theory of atoms.

Group Theory in Quantum Mechanics: An Introduction to its Present Usage introduces the reader 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 as one starts from an approximate Hamiltonian and adds correction terms; and to aid in the evaluation of matrix elements of Book Edition: 1.

Chapter 5 is devoted to the theory of systems with full rotational symmetry, Chapter 6 to the systematic presentation of atomic structure, and Chapter 7 to molecular quantum mechanics. Chapter 8, which deals with solid-state physics, treats electronic energy band theory and magnetic crystal symmetry.Introduction --Abstract group theory --Theory of group representations --Physical applications of group theory --Full rotation group and angular momentum --Quantum mechanics of atoms --Molecular quantum mechanics --Solid-state theory.

Series Title: International series in pure and applied physics. Responsibility: Michael Tinkham.Lecture Notes in Quantum Mechanics by Doron Cohen. This book covers the following topics: The classical description of a particle, Hilbert space formalism, Group theory, Lie algebra, The Green function approach, The evolution operator, Scattering theory, Quantum .