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Springer eBooks

Quantum Particle in Three Dimensions

Gianluca Stefanucci

Published Jan 1, 2024• 0 citations
Publisher
DOI
10.1007/978-3-031-60171-2_4

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New interpretation and thought experiment in quantum mechanics

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An interpretation of quantum mechanics involving multiple dimensions is proposed, as well as a thought experiment that in principle if performed correctly could either prove or disprove quantum randomness. All outcomes, of a particle’s wave function manifest but manifest in more than three dimensions, and when the wave function collapses, we see the outcome of the wave function, which only exist in three dimensions. Furthermore, a particle is a much larger object, and exists physically as a wave across more than three dimensions and our best description of this is the Schrodinger wave, because it only describes it in three dimensions. We cannot observe the particle as a wave because it is spread out as an object in which most of it exists in more than three dimensions, but when we observe the part or outcome of a wave function that does exist in three dimensions, which is when collapse occurs it leads to particle like properties, due to not being able to interact with the rest of the wave because it is confined to just interacting on a three dimensional scale because we are observing it in three dimensions. Furthermore we cannot observe the part of the wave function that exists in more than three dimensions, in three dimensions because of the principle that in order to observe an object in it's entirety it needs to be observed in all of it's dimensions. Strange phenomenon in quantum mechanics such as tunneling, can be explained by saying that there is a probability of finding the part of wave function that exists in three dimensions on the other side of the barrier, which has travelled over that barrier classically and the probability of it travelling over the barrier decreases expontentially to the width of the barrier increasing. Whether the quantum world is random, or is determined by non-local hidden variables, can be determined by a simple deductive thought experiment as outlined in this article.

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Quantum Particle in One Dimension

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Controlled Probabilistic Teleportation of Three-dimension Cat-like State

Shi Jin

Two schemes for controlled probabilistic teleportation of three-particle three-dimension cat-like state are proposed.In the first scheme,a partial five-particle qutrit entangled state is used as the quantum channel,while in the second scheme,two partial two-particle qutrit entangled states and a partial entangled three-particle qutrit state are used as the quantum channel.The classical communication cost required in both schemes is difference.The successful probability of the two schemes is difference either.

Acta Sinica Quantum Optica•Jan 1, 2009•0 citations
An interpretation of quantum mechanics involving multiple dimensions is proposed, as well as a thought experiment that in principle if performed correctly could either prove or disprove quantum randomness. All outcomes, of a particle’s wave function manifest but manifest in more than three dimensions, and when the wave function collapses, we see the outcome of the wave function, which only exist in three dimensions. Furthermore, a particle is a much larger object, and exists physically as a wave across more than three dimensions and our best description of this is the Schrodinger wave, because it only describes it in three dimensions. We cannot observe the particle as a wave because it is spread out as an object in which most of it exists in more than three dimensions, but when we observe the part or outcome of a wave function that does exist in three dimensions, which is when collapse occurs it leads to particle like properties, due to not being able to interact with the rest of the wave because it is confined to just interacting on a three dimensional scale because we are observing it in three dimensions. Furthermore we cannot observe the part of the wave function that exists in more than three dimensions, in three dimensions because of the principle that in order to observe an object in it's entirety it needs to be observed in all of it's dimensions. Strange phenomenon in quantum mechanics such as tunneling, can be explained by saying that there is a probability of finding the part of wave function that exists in three dimensions on the other side of the barrier, which has travelled over that barrier classically and the probability of it travelling over the barrier decreases expontentially to the width of the barrier increasing. Whether the quantum world is random, or is determined by non-local hidden variables, can be determined by a simple deductive thought experiment as outlined in this article.
Two schemes for controlled probabilistic teleportation of three-particle three-dimension cat-like state are proposed.In the first scheme,a partial five-particle qutrit entangled state is used as the quantum channel,while in the second scheme,two partial two-particle qutrit entangled states and a partial entangled three-particle qutrit state are used as the quantum channel.The classical communication cost required in both schemes is difference.The successful probability of the two schemes is difference either.