Wave–particle Duality Relation
   HOME





Wave–particle Duality Relation
The wave–particle duality relation, also called the Englert–Greenberger–Yasin duality relation, or the Englert–Greenberger relation, relates the visibility, V, of interference fringes with the definiteness, or distinguishability, D, of the photons' paths in quantum optics. As an inequality: :D^2+ V^2\le 1 \, Although it is treated as a single relation, it actually involves two separate relations, which mathematically look very similar. The first relation, derived by Daniel Greenberger and Allaine Yasin in 1988, is expressed as P^2+ V^2\le 1 \, . It was later extended to, providing an equality for the case of pure quantum states by Gregg Jaeger, Abner Shimony, and Lev Vaidman in 1995. This relation involves correctly guessing which of the two paths the particle would have taken, based on the initial preparation. Here P can be called the predictability. A year later Berthold-Georg Englert, in 1996, derived a related relation dealing with experimentally acquiring knowledge o ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  


picture info

Interference Fringe
In physics, interference is a phenomenon in which two coherent waves are combined by adding their intensities or displacements with due consideration for their phase difference. The resultant wave may have greater amplitude (constructive interference) or lower amplitude (destructive interference) if the two waves are in phase or out of phase, respectively. Interference effects can be observed with all types of waves, for example, light, radio, acoustic, surface water waves, gravity waves, or matter waves as well as in loudspeakers as electrical waves. Etymology The word ''interference'' is derived from the Latin words ''inter'' which means "between" and ''fere'' which means "hit or strike", and was used in the context of wave superposition by Thomas Young in 1801. Mechanisms The principle of superposition of waves states that when two or more propagating waves of the same type are incident on the same point, the resultant amplitude at that point is equal to the ...
[...More Info...]      
[...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]  



MORE