Journal of Physical Studies 18(2/3), Article 2004 [5 pages] (2014) DOI: https://doi.org/10.30970/jps.18.2004 DIFFERENTIAL CROSS-SECTION OF THE PHOTOELECTRIC EFFECT IN THE DEFORMED ELECTROMAGNETIC FIELD I. O. Vakarchuk, Iu. M. Diakiv Department for Theoretical Physics, Ivan Franko National University of Lviv, 12, Drahomanov St., Lviv, UA-79005, Ukraine

We calculate the differential cross-section of photoelectric effect of the system of a non-linear quantum field where non-linearity is due to deformation of the Poisson brackets of the generalized coordinates and momenta. For $β\toınfty$ the differential cross-section reduces to a well-known expression of the differential cross-section of the photoelectronic effect for a non-deformed field. In the case of a considerable deformation ($β\toınfty$) the differential cross-section of the photoelectronic effect decreases as $β^{-3}$.

PACS number(s): 03.70.+k

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