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Unformatted text preview: Chem 3890 Physical Chemistry I Fall 2010 Chemistry 3890 Problem Set 2 Fall 2010 Due: in class, Friday, September 17 To facilitate accurate grading of your assignments, your printouts should have: In and Out statements. That is, the work you hand in must be a printout of an evaluated notebook. Problem numbers (given either in Section headings or in text boxes). Problem solutions in the order assigned. Handwritten and Mathematica parts of a solution should appear on contiguous sheets. Each problem in a separate notebook (or at least a separate Section ). Analytical answers Simplifyed as far as possible. Scratch work labeled as such if present, but preferably not present at all. No 30page tables or error messages! (Very large output statements should be hidden if generated: use the semicolon ; after a command to suppress output.) When plotting functions, it is usually helpful to use (or at least try) the option PlotRange > All . Oth erwise, the default range of the function plotted might be severely restricted, and the plot correspondingly uninformative. Problem 1 (This problem should be worked by hand: ) You have seen in class that the classical equations of motion for a single particle of mass m moving along the xaxis in the presence of a potential V ( x ) can be written in the form d x d t = p m (1a) d p d t = V x . (1b) In general, the system is described by a Hamiltonian H , which is a function of the particle coordinate x and momentum p , H = H ( x, p ). For any Hamiltonian H , the fundamental classical equations of motion are given by Hamiltons equations, which are d x d t = + parenleftbigg H p parenrightbigg x (2a) d p d t =...
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 HINES, M
 Physical chemistry, pH

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