Applied Mathematics: perturbation theory? - Freemason Hirams Travels Masonic Forums

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04-08-2008, 02:00 PM

Leo

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Applied Mathematics: perturbation theory?

Consider the quadratic m^2 + Em - 4 = 0 where E is epsilon and 0 <E<<1
after solving I get (-E +- squart(E^2 + 16)) / 2
1. Expand the results as series in E
2. Pretending m^2 - 4 = 0 is solvable but the original problem is not, develop approximate solutions
3. Solve be assuming a taylor series expansion in small E,
ie. m = m_0 + Em_1 + .........
Your help is greatly appreciated

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