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Observable objects, observers and the integral created by them

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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.

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References

  1. G. Naber, The Simple Harmonic Oscillator: An Introduction to the Mathematics of Quantum Mechanics (Springer, 2015)

  2. L.C. Evans, An Introduction to Stochastic Differential Equations (American Mathematical Society, 2013)

  3. M.R. Molaei, Chaos, Solitons Fractals 42, 615 (2009)

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Authors and Affiliations

  1. Department of Mathematics, Vali-E-Asr University of Rafsanjan, Rafsanjan, Iran

    Mehdi Karami

  2. Mahani Mathematical Research Center, Shahid Bahonar University of Kerman, Kerman, Iran

    MohammadReza Molaei

  3. Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran

    Navid Asgari

Authors
  1. Mehdi Karami
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  2. MohammadReza Molaei
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  3. Navid Asgari
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Correspondence to Mehdi Karami.

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Cite this article

Karami, M., Molaei, M. & Asgari, N. Observable objects, observers and the integral created by them. Eur. Phys. J. Plus 131, 258 (2016). https://doi.org/10.1140/epjp/i2016-16258-4

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  • DOI: https://doi.org/10.1140/epjp/i2016-16258-4

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