eigenstates love

# eigenstates

## Definitions

• noun Plural form of eigenstate.

## Etymologies

Sorry, no etymologies found.

## Examples

• In the case of an ideal (non-approximate) quantum measurement, this special decomposition coincides with that defined by the eigenstates of the measured observable and the corresponding pointer states, and the interpretation thus appears to solve the measurement problem (in the strict sense).

• If, however, this difficulty is set aside, a solution is provided to the measurement problem of standard quantum mechanics, i.e., the problem of accounting for the occurrence of a definite outcome when the system of interest is prepared in a superposition of eigenstates of the operator which is subjected to measurement.

Bell's Theorem Shimony, Abner 2009

• In this formulation of the argument it is clear that locality-separability conflicts with the eigenvalue-eigenstate link, which holds that a quantity of a system has an eigenvalue if and only if the state of the system is an eigenstate of that quantity with that eigenvalue (or a mixture of such eigenstates).

The Einstein-Podolsky-Rosen Argument in Quantum Theory Fine, Arthur 2009

• Now consider what happens when J observes the x-spin of a system that begins in a superposition of x-spin eigenstates:

Everett's Relative-State Formulation of Quantum Mechanics Barrett, Jeffrey 2008

• On the subject of multiverse (s), and God I hate that term, I think these are in the Hawking-Hartle path integral certain configuration variables (metrics) for eigenstates of the wave functional.

Science and Unobservable Things Sean 2008

• So we can diagonalize this matrix and get new single-electron eigenstates, replacing the orbitals we started with.

• Why eigenvalues and eigenvectors (a.k.a. eigenstates)?

• Furthermore, as we shall see, each of these relative object system states will be, approximately, the eigenstates of the observation corresponding to the value obtained by the observer which is described by the same element of the superposition.

Everett's Relative-State Formulation of Quantum Mechanics Barrett, Jeffrey 2008

• If you observe a system it will be in one of the eigenstates of the observable you are measuring.

Quantum Hyperion Sean 2008

• In case of a perfect detector these two states should be orthogonal (because they should be eigenstates of some observable corresponding to different eigenvalues that tell you through which slit the electron went) and then the interference pattern will vanish.

Quantum Hyperion Sean 2008