Linearity, symmetry, and prediction in the hydrogen atom
نام عام مواد
[Book]
نام نخستين پديدآور
/ Stephanie Frank Singer
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
New York
نام ناشر، پخش کننده و غيره
: Springer,
تاریخ نشرو بخش و غیره
, c2005.
مشخصات ظاهری
نام خاص و کميت اثر
xiv, 396 p. , ill.
فروست
عنوان فروست
(Undergraduate texts in mathematics)
یادداشتهای مربوط به نشر، بخش و غیره
متن يادداشت
Electronic
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (p. [379]-384) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
"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."--BOOK JACKET.
متن يادداشت
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.
فروست (داده ارتباطی)
عنوان
Undergraduate texts in mathematics
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Group theory
موضوع مستند نشده
Hydrogen
موضوع مستند نشده
Atoms
موضوع مستند نشده
Linear algebraic groups
موضوع مستند نشده
Symmetry (Physics)
موضوع مستند نشده
Representations of groups
موضوع مستند نشده
Quantum theory
موضوع مستند نشده
Electronic books. , local
رده بندی کنگره
شماره رده
E-BOOK
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )