eigenstates love

# eigenstates

## Definitions

• n. Plural form of eigenstate.

## Etymologies

Sorry, no etymologies found.

## Examples

• 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

• 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).

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• 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

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

Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask

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

Everything You Ever Wanted to Know About Quantum Mechanics, But Were Afraid to Ask

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

Quantum Hyperion

• 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

• 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

• 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

• 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