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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Linearity, Symmetry, and Prediction in the Hydrogen Atom (Hardcover, 2005 ed.)
Loot Price: R2,443
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Linearity, Symmetry, and Prediction in the Hydrogen Atom (Hardcover, 2005 ed.)
Series: Undergraduate Texts in Mathematics
Expected to ship within 12 - 17 working days
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Stephanie Frank Singer received her Ph.D. in Mathematics from the
Courant Institute in 1991. In 2002 she resigned her tenured
professorship at Haverford College. Since then she has been writing
and consulting independently. Her first book was Symmetry In
Mechanics: A Gentle, Modern Introduction.The predictive power of
mathematics in quantum phenomena is one of the great intellectual
successes of the 20th century. This textbook, 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.The topics unfold systematically,
introducing the reader first to an important example of a quantum
system with symmetry, the single electron in a hydrogen atom. about
the numbers of each kind of electronic orbital based solely on the
physical spherical symmetry of the hydrogen atom. The final
chapters address the related ideas of quantum spin, measurement and
entanglement.This user-friendly exposition, driven by numerous
examples and exercises, requires a solid background in calculus and
familiarity with either linear algebra or advanced quantum
mechanics. The Hydrogen Atom: An Introduction to Group and
Representation Theory will benefit students in mathematics, physics
and chemistry, as well as a literate general readership. A separate
solutions manual is available to instructors.
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