Coverart for item
The Resource Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book)

Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book)

Label
Linearity, symmetry, and prediction in the hydrogen atom
Title
Linearity, symmetry, and prediction in the hydrogen atom
Statement of responsibility
Stephanie Frank Singer
Creator
Subject
Language
eng
Summary
"The predictive power of mathematics in quantum phenomena is one of the great intellectual successes of the 20th century. This textbook, which is aimed at undergraduate or graduate level students (depending on the college or university) 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 the linear model of quantum mechanics. This method, involving the mathematical area of representation theory or group theory, combines three core mathematical subjects, namely, linear algebra, analysis and abstract algebra. Wide applications of this method occur in crystallography, atomic structure, classification of manifolds with symmetry, and other areas." "This exposition, driven by numerous examples and exercises, requires a solid background in calculus and familiarity with either linear algebra or advanced quantum mechanics. Linearity, Symmetry, and Prediction in the Hydrogen Atom will benefit students in mathematics, physics and chemistry, as well as a literate general readership. A separate solutions manual is available to instructors."--Jacket
Member of
Cataloging source
DE-He213
Characteristic
online system or service
http://library.link/vocab/creatorDate
1964-
http://library.link/vocab/creatorName
Singer, Stephanie Frank
Image bit depth
0
Series statement
Undergraduate texts in mathematics
http://library.link/vocab/subjectName
  • Group theory
  • Quantum theory
  • Representations of groups
  • Linear algebraic groups
Label
Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book)
Instantiates
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. [379]-384) and index
Color
not applicable
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
Dimensions
unknown
File format
multiple file formats
Isbn
9780387263694
Issn
0172-6056
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
Label
Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book)
Publication
Antecedent source
mixed
Bibliography note
Includes bibliographical references (p. [379]-384) and index
Color
not applicable
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
Dimensions
unknown
File format
multiple file formats
Isbn
9780387263694
Issn
0172-6056
Level of compression
uncompressed
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote

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