Skip to main content
eigenstate

eigenstate

1 9.9
A state of a very small particle that has one exact value for a property you measure, like energy
  • noun
  • /ˈaɪɡənˌsteɪt/
  • Specialized
translation icon : estado propio
  • Radiative recombination ultimately limits the duration of a superposition of eigenstates that includes excitons.
  • weak-flavor eigenstates
  • mass eigenstates
  • two lowest eigenstates

And we will work with energy eigenstates as well here.

Examples

  • Experiments by a number of researchers have demonstrated CPB eigenstates with excited-state lifetimes of up to 7 s and coherence times of superposition states as long as 0.5 s.

    Academic text (2006)
  • In quantum mechanics, an eigenstate is a specific state where a measurable property, such as energy, has a definite value.

  • And this is an eigenstate of energy with slightly less energy.

  • And we will work with energy eigenstates as well here.

  • If I project it onto an eigenstate of X, that gives me the wave function PSI of X.

  • Once excited, it will tend to radiatively recombine to the same spin eigenstate.

    Academic text (2002)
  • Top-down action occurs in the quantum measurement process through the collapse of the wave function to an eigenstate of a chosen measurement basis.

    Academic text (2006)
  • Bohr said that the wavefunction collapses and the state is now an eigenstate of the measurement just made.

    Blog text (30)
  • In the pre-decoherence state, the single nontrivial eigenstate vector is a weird quantum-like superposition state.

    Blog text (29)
  • In other words, its quantum state is a linear superposition of single-photon energy eigenstates—a coherent wavepacket with a particular temporal and spatial shape.

    Academic text (2012)

How Entangled

negativity
  • Specialized
9.9
entanglement
3 6.3
eigenstate
  • Specialized
1 9.9

Surface Forms

eigenstate singular
eigenstates plural

Morphology

eigenstate = state (opaque) = eigen + state + eigen

The combining form 'eigen-' is borrowed from German and is not a productive or familiar English prefix for average learners, so the meaning cannot be directly inferred from its parts.

Etymology

Eigenstate comes from the German eigen, meaning 'own' or 'self', and the English word state, meaning 'condition'. So an eigenstate is the system's 'own state' with a specific value that can be measured, which is why it names a quantum state that gives a definite result when measured.