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Chapter 10 The Hydrogen Atom - University of Washington

Chapter 10 The Hydrogen AtomThere are many good reasons to address the Hydrogen atom beyond its historical signi Hydrogen spectra motivated much of the early quantum theory, research involving thehydrogen remains at the cutting edge of science and technology. For instance, transitions inhydrogen are being used in 1997 and 1998 to examine the constancy of the ne structure constantover a cosmological time scale2. From the view point of pedagogy, the Hydrogen atom merges manyof the concepts and techniques previously developed into one package. It is a particle in a boxwith spherical, soft walls. Finally, the Hydrogen atom is one of the precious few realistic systemswhich can actually be solved Schrodinger Equation in Spherical CoordinatesIn Chapter 5, we separated time and position to arrive at the time independent Schrodingerequation which isH Ei>=Ei Ei>;(10 1)whereEiare eigenvalues and Ei>are energy eigenstates.

hydrogen remains at the cutting edge of science and technology. For instance, transitions in hydrogen are being used in 1997 and 1998 to examine the constancy of the flne structure constant over a cosmological time scale2. From the view …

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