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Examples ofeigenstate
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This density matrix formulation is not needed in cases of thermal equilibrium so long as the basis states are chosen to be energy eigenstates.
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This example is from Wikipedia and may be reused under a CC BY-SA license.This is called aneigenstateof positionor, stated in mathematical terms, a "generalized positioneigenstate(eigendistribution)".
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This example is from Wikipedia and may be reused under a CC BY-SA license.In the novel a physical process in the human brain is responsible for collapsing quantum wavefunctions representing systems into particular eigenstates.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Superselection rules are postulated rules forbidding the preparation of quantum states that exhibit coherence between eigenstates of certain observables.
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This example is from Wikipedia and may be reused under a CC BY-SA license.One particular example is the density matrix that characterizes the mixed state of a quantum system as a linear combination of elementary, pure eigenstates.
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This example is from Wikipedia and may be reused under a CC BY-SA license.We will use theseeigenstateproperties in evaluating the matrix elements.
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An atom in an excited energyeigenstateaccording to quantum mechanics is not in an energyeigenstateaccording to quantum field theory.
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Since the k-states can be thought of as a ' wave ' aneigenstatecorresponding to a superposition of k-states is usually called a wavepacket.
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Below the quantum chaos border, such aneigenstateis very close to one quantum register state, while above this border it is composed of a huge number of them.
From theCambridge English Corpus
This implies that no quantum state can be simultaneously both a position and a momentumeigenstate.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A measurement results in the system being in theeigenstatecorresponding to the eigenvalue result of the measurement.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The finaleigenstateappears randomly with a probability equal to the square of its overlap with the original state.
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This example is from Wikipedia and may be reused under a CC BY-SA license.The state of a system after measurement is assumed to collapse into aneigenstateof the operator corresponding to the measurement.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Intuitively it is clear that eigenstates with heavier weights are more likely to be produced.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Before we compute the corrections to the energyeigenstate, we need to address the issue of normalization.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These relations can be used to find the energy eigenstates of the quantum harmonic oscillator.
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This example is from Wikipedia and may be reused under a CC BY-SA license.A tempting choice would be the use of eigenstates of single quantum wells.
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This example is from Wikipedia and may be reused under a CC BY-SA license.In general, the energy eigenstates of the system will depend on x.
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This example is from Wikipedia and may be reused under a CC BY-SA license.Neutrinos are created in weak processes in their flavor eigenstates.
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This example is from Wikipedia and may be reused under a CC BY-SA license.These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.