engleski

Renormalization group solution of the harmonic oscillator

An alternative calculation of the path integral for the harmonic oscillator is carried out as recommended in the textbook of Feynman and Hibbs. A surprising generalization of the angle-doubling formulas for the trigonometric functions appears. Some algebraic and numerical properties of the recursion relations are analyzed and interpreted as an example of a renormalization group transformation albeit in time rather than in space.

renormalization group; harmonic oscillator; trigonometric functions

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