Linearity, symmetry, and prediction in the hydrogen atom
著者
書誌事項
Linearity, symmetry, and prediction in the hydrogen atom
（Undergraduate texts in mathematics）
Springer, c2005
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注記
Includes bibliographical references (p. [379]-384) and index
内容説明・目次
内容説明
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
目次
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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