CHEM 4502 Lecture Notes - Lecture 22: Calculus Of Variations
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Hw 6 due fri (problem 4 donut problemno assumptionscant solve it exactly) review session next monday in class. Approx methods: variational method pi = 3. 141592653589793 we approximate it as 22/7. Nasa stops at 15 digits (still helps us fly to mars, fly by pluto) phone gps uses 16 digits of pi. Last time: the more variational parameters we have --> more accurate value for energy. Let"s try 2 variables for particle in box. Chem4502 quantum page 1 trial function see black function above symmetric around a/2 using coefficients c1 and c2. Let"s find and minimize it c = variational parameter f = some known function solve for numerator. Differentiate wrt each coefficient and set the result to 0. First rearrange take derivative wrt c1 we want the minimum of e wrt c1 so now do same thing for c2 (differentiate wrt c2, set )
