Linearity, symmetry, and prediction in the hydrogen atom

Bibliographic Information

Linearity, symmetry, and prediction in the hydrogen atom

Stephanie Frank Singer

(Undergraduate texts in mathematics)

Springer, c2005

Available at  / 40 libraries

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Note

Includes bibliographical references (p. [379]-384) and index

Description and Table of Contents

Description

Concentrates on how to make predictions about the numbers of each kind of basic state of a quantum system from only two ingredients: the symmetry and linear model of quantum mechanics Method has wide applications in crystallography, atomic structure, classification of manifolds with symmetry and other areas Engaging and vivid style Driven by numerous exercises and examples Systematic organization Separate solutions manual available

Table of Contents

Setting the Stage.- Linear Algebra over the Complex Numbers.- Complex Scalar Product Spaces (a.k.a. Hilbert Spaces).- Lie Groups and Lie Group Representations.- New Representations from Old.- Irreducible Representations and Invariant Integration.- Representations and the Hydrogen Atom.- The Algebra so(4) Symmetry of the Hydrogen Atom.- The Group SO(4) Symmetry of the Hydrogen Atom.- Projective Representations and Spin.- Independent Events and Tensor Products.

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