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)
Resource Information
The item Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 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
 Isbn
 9780387263694
 Label
 Linearity, symmetry, and prediction in the hydrogen atom
 Title
 Linearity, symmetry, and prediction in the hydrogen atom
 Statement of responsibility
 Stephanie Frank Singer
 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
 Cataloging source
 DEHe213
 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)
 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
 01726056
 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)
 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
 01726056
 Level of compression
 uncompressed
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.liverpool.ac.uk/portal/Linearitysymmetryandpredictioninthe/liYAANBD0s/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.liverpool.ac.uk/portal/Linearitysymmetryandpredictioninthe/liYAANBD0s/">Linearity, symmetry, and prediction in the hydrogen atom, Stephanie Frank Singer, (electronic book)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.liverpool.ac.uk/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.liverpool.ac.uk/">University of Liverpool</a></span></span></span></span></div>