AN UNUSUAL QUANTUM ENTANGLEMENT CONSISTENT WITH SCHRODINGER’S EQUATION

In this paper, a quantum system is considered to be formed by two free particles in such a manner that for at least one of its states, an Ansatz specifically modeled to present mathematical properties that could be consistent with an unusual quantum entanglement is proposed.The Ansatz is defined by an expansion in terms of the eigenfunctions of an arbitrary observable, which is associated, separately, with the considered particles, with coefficients given by the values of functions Cn, initially free and dependent on the quotient of the separation between the particles and their Compton wavelength.It is shown that satisfies the corresponding Schrdinger equation under the requirement that the Cn be of the square integrable type.The function corresponds to an entanglement which, in the absence of both a measurement and the performance of entanglement degrading agents, collapses to zero when a condition is satisfied.

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