Linearity, symmetry, and prediction in the hydrogen atom
Author(s)
Bibliographic Information
Linearity, symmetry, and prediction in the hydrogen atom
(Undergraduate texts in mathematics)
Springer, c2005
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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.
by "Nielsen BookData"