Fourier Decomposition

  • Gert Roepstorff
Part of the Texts and Monographs in Physics book series (TMP)


In this chapter we wish to show that the Brownian bridge may be reconstructed from a denumerable set of independent Gaussian random variables other than the ones used in the bisection algorithm considered in Sect. 3.5. For it is possible to give meaning to the concept of Fourier decomposition of Brownian motion and to prove statistical independence of the relevant (random) Fourier coefficients. The motive for introducing this new structural element is that it allows us to approximate or even evaluate path integrals in a more systematic fashion.


Harmonic Oscillator Transition Amplitude Fourier Coefficient Path Integral Imaginary Time 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Gert Roepstorff
    • 1
  1. 1.Institut für Theoretische PhysikRheinisch-Westfälische Technische Hochschule Aachen RWTH-PhysikzentrumGermany

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