# eigenstate In A Sentence

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• Following the measurement, the spin state of the particle will collapse into the corresponding eigenstate.
• The narrator, working with the Canon, then proceeds to steal the eigenstate mod.
• The task of explaining this experimentally observed applicability of equilibrium statistical mechanics to isolated quantum systems is the primary goal of the eigenstate Thermalization Hypothesis.
• However, if one measures the observable, the wave function will instantaneously be an eigenstate ( or " generalized " eigenstate ) of that observable.
• Thus the system can stay in a single system eigenstate as long as needed.
• Determine the most probable position ( s ) of the electron for each eigenstate.
• Likewise, systems which are integrable tend not to obey the eigenstate Thermalization Hypothesis.
• An eigenstate of the annihilation operator has a Poissonian number distribution when expressed in a basis of energy eigenstates, as shown below.
• In that case any mixed state of the degenerate eigenstates is evidently another eigenstate of the Hamiltonian.
• Instead, we consider the perturbation " small " if the new eigenstate is close to the subspace.
• The immediate impact of avoided level crossing in a degenerate two state system is the emergence of a lowered energy eigenstate.
• Every "'spin network "'is an eigenstate of each such operator, and the area eigenvalue equals.
• The second quantity looks at the time-dependent probability of occupation for each eigenstate.
• A single eigenstate of the position operator when represented in the momentum picture again requires a linear combination of the momemtum operator eigenstates.

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