Journal of Applied Mathematics and Computation

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Article http://dx.doi.org/10.26855/jamc.2020.12.013

A Metastable Model for Quantum Superposition

Abraham Boyarsky 1,* , Paweł Góra 1 , Zhenyang Li 2

1 Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Blvd. West, Montreal, Quebec H3G 1M8, Canada.

2 Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China.

*Corresponding author: Abraham Boyarsky

Published: December 15,2020

Abstract

Quantum superposition is often observed as a two peaked probability density function. From this the conclusion is drawn that the quantum particle exists in two places at once. In this note, we present a metastable dynamical systems model which displays a two peaked probability density function but is generated by a process that is in one place at a time. Thus, whenever a measurement is taken, the particle is found where it happens to be at that moment.

References

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[3] Rogers, Alan, Shorten, Robert, Heffernan, Daniel M. (2008). A novel matrix approach for controlling the invariant densities of chaotic maps, Chaos Solitons Fractals, 35(2008), no. 1, 161-175. 

[4] Góra, P., Boyarsky, A. (1993). A matrix solution to the inverse Perron-Frobenius problem. Proc. Amer. Math. Soc. 118(1993), no. 2, 409-414. 

[5] Boyarsky, Abraham, Góra, Pawel. (1997). Laws of chaos. Invariant measures and dynamical systems in one dimension, Probability and its Applications. Birkhäuser Boston, Inc., Boston, MA,

[6] Lasota, Andrzej, Mackey, Michael C. (1994). Chaos, fractals, and noise. Stochastic aspects of dynamics}, Second edition. Applied Mathematical Sciences, 97. Springer-Verlag, New York.

How to cite this paper

A Metastable Model for Quantum Superposition

How to cite this paper: Abraham Boyarsky, Paweł Góra, Zhenyang Li. (2020) A Metastable Model for Quantum Superposition. Journal of Applied Mathematics and Computation, 4(4), 224-229.

DOI: http://dx.doi.org/10.26855/jamc.2020.12.013