Quantum entanglement, spin-1/2 and the Stern–Gerlach experiment

Roston, G B; Casas, M.; Plastino, A.; Plastino, A.

doi:10.1088/0143-0807/26/4/012

Cited by 27 publications

(30 citation statements)

References 39 publications

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“…Finally, it is important to mention that if we focus on the particular case of considering only the z component, we arrive at an equivalent state to the one calculated by Roston et al [6] (the differences come from the different sign on the gradient used by them); in particular we arrive at the same entanglement of formation.…”

mentioning

confidence: 69%

Corrigendum: ‘A full quantum analysis of the Stern–Gerlach experiment using the evolution operator method: analysing current issues in teaching quantum mechanics’

2017

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confidence: 69%

Corrigendum: ‘A full quantum analysis of the Stern–Gerlach experiment using the evolution operator method: analysing current issues in teaching quantum mechanics’

2017

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“…The first one is taken from literature [135] where the Hamiltonian of the entanglement has a form like the following where the interaction between both subsystems A and B is described by the Hamiltonian 0 AB H   so that each individual subsystem is an open quantum system [1]. The Hamiltonian as a whole, and under these circumstances, takes the form of equation (4.20).…”

Section: Alternative Methods To Obtain the Avatarsmentioning

confidence: 99%

Every Entangled Stuff Has Its Own Avatar

Mastriani

2018

Preprint

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During the last century, entanglement was the bone of contention between the two main pillars of Physics: General Relativity (GR) and Quantum Mechanics (QM). This began in 1935 with the Einstein-Podolsky-Rosen paradox (EPR paradox) which concluded that although Quantum Mechanics is not wrong, it is an incomplete theory to represent physical reality. In this paper it is demonstrated that some byproducts resulting from entanglement and which we will call avatars act as a hinge that link both theories making the completeness of QM clear. Moreover, a thorough analysis of the non-locality of this effect will be carried out. Besides, it is demonstrated that entanglement is an instantaneous phenomenon and that it does not require the use of a superluminal signaling for this purpose. Finally, the avatars will also appear in each wormhole resulting from an entanglement process (WREP) demonstrating that they are traversable with an equivalent path of null length which can be crossed in a null time with all that this implies in Quantum Communications.

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“…If the initial wavepacket is Gaussian, the wavepackets ψ ± will also be approximately Gaussian but shifted upwards or downwards along the z-axis. For a derivation of the typical form of such wavepackets see [8,17,18].…”

Section: B a Matter Of Necessitymentioning

confidence: 99%

Obituary for a Flea

Heugten

Wolters

2018

Springer Proceedings in Mathematics &Amp; Statistics

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The Landsman-Reuvers proposal to solve the measurement problem from within quantum theory is extensively analysed. In favor of proposals of this kind, it is shown that the standard reasoning behind objections to solving the measurement problem from within quantum theory rely on counterfactual reasoning or mathematical idealisations. Subsequently, a list of objections/challenges to the proposal are made. Part of these objections are equally important for all attempts at solving the measurement problem, such as the problem of interpreting small numbers in the density matrix, the problem of reproducing the Born rule, the use of pure states as a tool to alleviate the interpretational issues of quantum states, and the necessity of introducing classical certainties which are not strictly present in quantum theory. The additional objections that are particular to the proposal, such as the physical interpretation/origin of the flea perturbation, the use of potentials to solve a dynamical problem, slow collapse times, the inability to handle unequal probabilities, and the dictatorial role of the flea perturbation, lead us to believe that the Landsman-Reuvers proposal is lacking in both physical grounding and theoretical promise. Finally, an overview is given of the challenges that were encountered in this attempt to solve the measurement problem from within quantum theory.

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Quantum entanglement, spin-1/2 and the Stern–Gerlach experiment

Abstract: Basic aspects of quantum entanglement are illustrated in connection with the two-component wavefunction description of spin-1/2 particles. In particular, the time evolution of entanglement in the Stern-Gerlach experiment is analysed in detail.

Cited by 27 publications

References 39 publications

Corrigendum: ‘A full quantum analysis of the Stern–Gerlach experiment using the evolution operator method: analysing current issues in teaching quantum mechanics’

Corrigendum: ‘A full quantum analysis of the Stern–Gerlach experiment using the evolution operator method: analysing current issues in teaching quantum mechanics’

Every Entangled Stuff Has Its Own Avatar

Obituary for a Flea

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