# eigenstate

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## eigenstate

[′ī·gən‚stāt]
(quantum mechanics)
A dynamical state whose state vector (or wave function) is an eigenvector (or eigenfunction) of an operator corresponding to a specified physical quantity.
References in periodicals archive ?
A time interval [DELTA]t can be associated with the time function t during which is measured the energy eigenstate function E which itself has a certain width [DELTA]E, with both widths ([DELTA]) satisfying (10).
Now let P be the state of affairs where we measure the particle on the left and find spin up, and Q the state of affairs of the particle on the right's coming to be in an eigenstate for spin down.
The way in which physical concepts are tied to the mathematical formalism is particularly helpful, for example in the treatment of Hermitian operators where orthogonality of non-degenerate eigenstates is tied to repeatability of measurements.
On the other hand, for GRW, only those observables of which the system is an eigenstate get definite values.
18) gives the number of microstates of the p-labelled eigenstate, proving the above theorem.
Suppose that an initially free electron which is in some eigenstate [where][[Phi].
In other words, if the particle is in the spin-up eigenstate of spin in the x-direction the apparatus will be left in an essentially positive configuration in the x- direction.
The proton wave function could as usual be written as a superposition of energy eigenstates
z], was commutable with the Hamiltonian, and adopted its eigenstate as the solution.
13], the threshold level of disorder below which the probability of formation of an eigenstate at the center of a PBG is negligible was established.
The reason is that the system is in a state of superposition just before the measurement is performed, whereas after the measurement it takes, qua projection, the eigenstate of that operator that has been assigned to the observable to be measured.

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