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 ?
How is it possible that the measurement on a quantum-mechanical system leads to a definite and unambiguous result even if the state measured has been prepared as a superposition of eigenstates of the measured observables?
Hence, if [psi] is an eigenstate of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], it will evolve to exp{iHt}[psi], which is again an eigenstate of [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] with the same eigenvalue.
For a system with N atoms, there will be 10 N eigenstates (20 N if spin-orbit coupling is included).
One consciousness per eigenstate, branching out endlessly, the many-worlds model come true' (p.
In order to obtain the M-magnon eigenstate, it is necessary to introduce the following operators symmetric with respect to the permutation of the quasi-momenta [?
Exploiting this equivalence there is in principle no difference between manipulations in the spin space of neutrons with the orthogonal basis {|[up arrow]>, |[down arrow]>} as eigenstates of [[sigma].
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).
But this is not the case, in virtue of the fact that a superposition and a eigenstate are states on equal footing.
In order to actually realize such a which-path experiment we need to calculate the joint probability associated with a recording of the photon in the state |x} (or |k>) in coincidence with a measurement of the detector in the eigenstate |[lambda]} corresponding to one of its observable.
1]>) as this would not result in an eigenstate of the strongly spin-dependent Hamiltonian, entering the energy eigenvalue equation
Now, consider the case of measurement in which the system S is initially prepared not in the eigenstate |[e.
A system does not possess objective values of its physical properties until a measurement of one of them is made; the act of measurement is asserted to force the system into an eigenstate of the quantity being measured.