Abstract
A stochastic equation driven by a random Gaussian noise is investigated with the help of random telegraph signals. It is shown the truncation of the matrix-continued fraction obtained from an exact tridiagonal vector recurrence relation is equivalent to an exact solution of the stochastic equation with a finite sequence of random telegraph signals. In the framework of general atomic equations of motion driven by a laser with a fluctuating phase, a condition for the validity of the truncation procedure of the matrix-continued fraction is established.
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Wódkiewicz, K. Matrix-continued fraction solutions of some stochastic equations with random telegraph noise. Z. Physik B - Condensed Matter 42, 95–98 (1981). https://doi.org/10.1007/BF01319541
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DOI: https://doi.org/10.1007/BF01319541