Semiconductor Physics, Quantum Electronics & Optoelectronics, 22 (3), P. 319-322 (2019).
DOI: https://doi.org/10.15407/spqeo22.03.319

Integral equations for the wave function of particle systems
K.V. Avdonin¹, O.V. Kovalchuk^1, 2, 3

¹Kyiv National University of Technologies and Design, 2, Nemirovich-Danchenko str., 01011 Kyiv, Ukraine
²Institute of Physics, NAS of Ukraine 46, prospect Nauky, 03680 Kyiv, Ukraine
³National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” 37, prospect Peremohy, 03056 Kyiv, Ukraine E-mail: akoval@knutd.com.ua

Abstract. Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral equation that can be attributed to the class of Volterra integral equations was built. Their equivalence to known equations in limiting cases has been shown.

Keywords: integral equation, particle system, wave function.

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