Malaysian Journal of Mathematical Sciences, February 2016, Vol. 10(S)
Special Issue: The 3rd International Conference on Mathematical Applications in Engineering 2014 (ICMAE'14)


On the Lower Bound of Spectrum of the Schrödinger's Operator for Some Multi-Particle Systems

Khalmukhamedov, O. R., Rakhimov, A. A., and Kuchkarov, E.

Corresponding Email: [email protected]

Received date: -
Accepted date: -

Abstract:
For $N$ - particle Schrödinger's operator with Column potential with central charge equal $Z$, it is well known estimation $N < 2Z +1$, obtained by Lieb E. In the present paper, the estimation obtained in case when there is a different interaction between particles.

Keywords: Spectrum, Lower Bound, Schrödinger Operator, Multi-Particle System