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QUANTUM MECHANICS I PHYS 516 Problem Set # 1 Distributed ...

QUANTUM MECHANICS I PHYS 516 Problem Set # 1 Distributed ...

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. nonrelativistic case (NR Schrödinger Equation).3. Determine the coefficients D, E, F for the nonrelativistic harmonicoscillator ini. one dimensionii. two dimensionsiii. three dimensions4. Compute the energy of an electron (in eV) in the most tightly boundstate about each of these nuclei:Z = 1 Z = 26 Z = 82Proton Iron Nucleus Lead NucleusN.R. Schrödinger Equation −13.58Relativistic Klein-Gordon Eq.In computing the relativistic energy, subtract off the electron rest energymc 2 and enter E − mc 2 in the table above.In this problem, if there are any surprises, explain:a. What?b. Where?c. Why?d. What does it mean?e. What to do about it?2

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