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However, the phase of this contribution at any given point along the path is determined by the action along the path:.
All these contributions are then added together, and the magnitude of the final result is squared , to get the probability distribution for the position of a particle:.
As is always the case when calculating probability , the results must then be normalized by imposing:. To summarize, the probability distribution of the outcome is the normalized square of the norm of the superposition , over all paths from the point of origin to the final point, of waves propagating proportionally to the action along each path.
The differences in the cumulative action along the different paths and thus the relative phases of the contributions produces the interference pattern observed by the double-slit experiment.
Feynman stressed that his formulation is merely a mathematical description, not an attempt to describe a real process that we can measure.
According to the relational interpretation of quantum mechanics , first proposed by Carlo Rovelli ,  observations such as those in the double-slit experiment result specifically from the interaction between the observer measuring device and the object being observed physically interacted with , not any absolute property possessed by the object.
In the case of an electron, if it is initially "observed" at a particular slit, then the observer—particle photon—electron interaction includes information about the electron's position.
This partially constrains the particle's eventual location at the screen. If it is "observed" measured with a photon not at a particular slit but rather at the screen, then there is no "which path" information as part of the interaction, so the electron's "observed" position on the screen is determined strictly by its probability function.
This makes the resulting pattern on the screen the same as if each individual electron had passed through both slits.
It has also been suggested that space and distance themselves are relational, and that an electron can appear to be in "two places at once"—for example, at both slits—because its spatial relations to particular points on the screen remain identical from both slit locations.
Physicist David Deutsch argues in his book The Fabric of Reality that the double-slit experiment is evidence for the many-worlds interpretation. However, since every interpretation of quantum mechanics is empirically indistinguishable, some scientists are skeptical of this claim.
An alternative to the standard understanding of quantum mechanics, the De Broglie—Bohm theory states that particles have precise locations at all times, and that their velocities are influenced by the wave-function.
So while a single particle will travel through one particular slit in the double-slit experiment, the so-called "pilot wave" that influences it will travel through both.
From Wikipedia, the free encyclopedia. For other uses, see Diffraction. Physics experiment, showing light can be modelled by both waves and particles.
Photons or particles of matter like an electron produce a wave pattern when two slits are used. Light from a green laser passing through two slits 0.
Schrödinger equation. Classical mechanics Old quantum theory Bra—ket notation Hamiltonian Interference. Schrödinger's cat Stern—Gerlach Wheeler's delayed-choice.
Advanced topics. Quantum annealing Quantum chaos Quantum computing Quantum geometry Density matrix Quantum field theory Fractional quantum mechanics Quantum gravity Quantum information science Quantum machine learning Perturbation theory quantum mechanics Relativistic quantum mechanics Scattering theory Spontaneous parametric down-conversion Quantum statistical mechanics.
Simulation of a particle wave function: double slit experiment. The white blur represents the wave. The whiter the pixel, the greater the probability of finding a particle in that place if measured.
Main article: Delayed choice quantum eraser. Main article: Weak measurement. This section does not cite any sources.
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Physics portal Science portal. Complementarity physics Delayed choice quantum eraser Dual-polarization interferometry Elitzur—Vaidman bomb tester N-slit interferometer Photon polarization Quantum coherence Schrödinger's cat Young's interference experiment Measurement problem.
Physical Chemistry Chemical Physics. Bibcode : PCCP Robinson, Andrew Hill Quantum Physics for Poets. US: Prometheus Books. Leighton; Matthew Sands The Feynman Lectures on Physics, Vol.
The Internet Encyclopedia of Science. The Worlds of David Darling. Retrieved 18 October Hill 27 September Prometheus Books, Publishers.
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