{"trackId":"596ce4fecd7e89143e5db78b","definitionVersion":0,"nearbyWords":["eigenstates","eigenstate","exigent","exigency","eugenic","exigencies","epigenetic","eigenvalue","eugenics","engender","eigenvalues","engenders","engendered","eigenfunction","engendering","eigenfunctions"],"usages":{"total":"9","results":[{"phrase":"The value of an operator on one of its eigenstates represents the value of a measurement.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"Its eigenstates define the phase of the wave relative to spatial axes.","src":"newscientist.com","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"In many systems, two or more energy eigenstates have the same energy.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"This issue is resolved in quantum mechanics via the use of eigenstates, which are discrete.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"Neutrinos are produced in weak interactions as chirality eigenstates.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"Let D denote the subspace spanned by these degenerate eigenstates.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"Suppose that two or more energy eigenstates are degenerate.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"Other eigenstates will only shift the absolute energy of all near-degenerate states simultaneously.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}},{"phrase":"A simple example of this is a free particle, whose energy eigenstates have wavefunctions that are propagating plane waves.","src":"en.wikipedia.org","additionalProperties":{"additionalProperties":{"additionalProperties":{}}}}],"additionalProperties":{"additionalProperties":{"totalResults":"40","additionalProperties":{}}}},"videoIds":"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"}
eigenstates
38
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