TY - BOOK ID - 207061 TI - Linearity, Symmetry, and Prediction in the Hydrogen Atom PY - 2005 SN - 0387263691 0387246371 1441920358 PB - New York, NY : Springer New York : Imprint: Springer, DB - UniCat KW - Group theory. KW - Hydrogen. KW - Atoms. KW - Linear algebraic groups. KW - Symmetry (Physics) KW - Representations of groups. KW - Quantum theory. KW - Chemistry, Physical and theoretical KW - Matter KW - Stereochemistry KW - Groups, Theory of KW - Substitutions (Mathematics) KW - Algebra KW - Constitution KW - Quantum dynamics KW - Quantum mechanics KW - Quantum physics KW - Physics KW - Mechanics KW - Thermodynamics KW - Group representation (Mathematics) KW - Groups, Representation theory of KW - Group theory KW - Invariance principles (Physics) KW - Symmetry (Chemistry) KW - Conservation laws (Physics) KW - Algebraic groups, Linear KW - Geometry, Algebraic KW - Algebraic varieties KW - Nonmetals KW - Mathematical physics. KW - Mathematics. KW - Mechanics. KW - Atomic, Molecular, Optical and Plasma Physics. KW - Elementary Particles, Quantum Field Theory. KW - Group Theory and Generalizations. KW - Mathematical Methods in Physics. KW - Applications of Mathematics. KW - Classical Mechanics. KW - Math KW - Science KW - Physical mathematics KW - Classical mechanics KW - Newtonian mechanics KW - Dynamics KW - Quantum theory KW - Mathematics KW - Physics. KW - Elementary particles (Physics). KW - Quantum field theory. KW - Applied mathematics. KW - Engineering mathematics. KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Relativistic quantum field theory KW - Field theory (Physics) KW - Relativity (Physics) KW - Elementary particles (Physics) KW - High energy physics KW - Nuclear particles KW - Nucleons KW - Nuclear physics KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences UR - https://www.unicat.be/uniCat?func=search&query=sysid:207061 AB - This is a textbook for a senior-level undergraduate course for math, physics and chemistry majors. This one course can play two different but complimentary roles: it can serve as a capstone course for students finishing their education, and it can serve as motivating story for future study of mathematics. Some textbooks are like a vigorous regular physical training program, preparing people for a wide range of challenges by honing their basic skills thoroughly. Some are like a series of day hikes. This book is more like an intended trek to a particularly beautiful goal. We’ll take the easiest route to the top, and we’ll stop to appreciate local flora as well as distant peaks worthy of the vigorous training one would need to scale them. Advice to the Student: This book was written with many different readers in mind. Some will be mathematics students interested to see a beautiful and powerful application of a “pure” mathematical subject. Some will be students of physics and chemistry curious about the mathematics behind some tools they use, such as spherical harmonics. Because the readership is so varied, no single reader should be put off by occasional digressions aimed at certain other readers. ER -