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The quantum behavior of a particle in a square well of finite, uni-dimensional potential. The entangled fate of Schrödinger’s cat.

Volume 6, Issue 4, August 2021    |    PP. 61-75    |PDF (1286 K)|    Pub. Date: June 21, 2021
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Author(s)
Emmanuel Saucedo-Flores, DIP-CUCEI Universidad de Guadalajara, José Guadalupe Zuno No. 48, Industrial Los Belenes, CP 45101 Zapopan, Jalisco, México

Abstract
An in depth look to the quantum behavior of a particle in a unidimensional finite, square box of potential energy is presented. Wave function normalization constants are fully determined and are used to establish an expression to calculate the particle allowed energy eigenstates based in the confinement condition for each of the two possible wave function symmetries. These eigenstates turn out to be degenerate and it becomes possible to configure confined systems so that the particle confinement/near free duality condition, also known as entanglement is present. This condition, obtained by using the particle mean presence probability density function of the two wave function symmetries of the system degenerate states, is illustrated with a couple of calculation examples.

Keywords
Quantum system, degenerate eigenvalues, entanglement, Rydberg unit of energy

Cite this paper
Emmanuel Saucedo-Flores, The quantum behavior of a particle in a square well of finite, uni-dimensional potential. The entangled fate of Schrödinger’s cat., SCIREA Journal of Physics. Vol. 6 , No. 4 , 2021 , pp. 61 - 75 .

References

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