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CHAPTER 7: The Hydrogen Atom - Texas A&M University

CHAPTER 7. The Hydrogen Atom Application of the Schr dinger Equation to the Hydrogen Atom Solution of the Schr dinger Equation for Hydrogen Quantum Numbers Magnetic Effects on Atomic Spectra The Normal Zeeman Effect This spherical system has very high symmetry causing very high degeneracy of the wavefunctions : Three-Dimensional Infinite-Potential Well The wave function must be a function of all three spatial coordinates. We begin with the conservation of energy Multiply this by the wave function to get Now consider momentum as an operator acting on the wave function. In this case, the operator must act twice on each dimension. Given: The three dimensional Schr dinger wave equation is Laplace operator Particle in3-D box Find the energies of the second, third, fourth, and fifth levels for the three dimensional cubical box. Which energy levels are degenerate?

7.1 Application of the Schrödinger Equation to the Hydrogen Atom 7.2 Solution of the Schrödinger Equation for Hydrogen 7.3 Quantum Numbers 7.4 Magnetic Effects on Atomic Spectra –The Normal Zeeman Effect CHAPTER 7 The Hydrogen Atom This spherical system has very high symmetry causing very high degeneracy of the wavefunctions

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Transcription of CHAPTER 7: The Hydrogen Atom - Texas A&M University

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