An introduction to groups and their matrices for science students / Robert Kolenkow.

Format:

Book

Author/Creator:

Kolenkow, Robert J., author.

Language:

English

Subjects (All):

Group theory.

Matrices.

Science--Mathematics.

Science.

Physical Description:

1 online resource (xiii, 322 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2022.

Summary:

Group theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses.

Contents:

Fundamental concepts

Matrix representations of discrete groups

Molecular vibrations

Crystalline solids

Bohr's quantum theory and matrix mechanics

Wave mechanics, measurement, and entanglement

Rotation

Quantum angular momentum

The structure of atoms

Particle physics.

Notes:

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

Other Format:

Print version:

ISBN:

9781108923217 (ebook)

Access Restriction:

Restricted for use by site license.