Integral equations for the wave function of particle systems

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