Eur. Phys. J. Plus (2016) 131: 258
https://doi.org/10.1140/epjp/i2016-16258-4

Regular Article

Observable objects, observers and the integral created by them

¹ Department of Mathematics, Vali-E-Asr University of Rafsanjan, Rafsanjan, Iran
² Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran
³ Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

^* e-mail: m.karami@vru.ac.ir

Received: 6 July 2016
Accepted: 7 July 2016
Published online: 5 August 2016

Abstract

This paper begins with the consideration of observable objects in quantum mechanics as the probability measures. Via multi-dimensional observers, relative probability measures as an extension of probability measures are considered. Order creators are introduced and by using them a new kind of integral is introduced and its essential properties are proved.