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5 - Integration
Joel Franklin, Reed College, Oregon
Book:

Mathematical Methods for Oscillations and Waves

Published online:

02 April 2020

Print publication:

05 March 2020, pp 120-145
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Summary

With many physical applications already on the table, in this chapter, we return to some of the simplified ones and re-complexify them.These problems require more sophisticated, and incomplete, solutions.Instead of finding the position of the bob for the simple pendulum, we find the period of motion for the ``real" pendulum.Instead of the classical harmonic oscillator, with its familiar solution, we study the period of the relativistic harmonic oscillator, and find that in the high energy limit, a mass attached to a spring behaves very differently from its non-relativistic counterpart.