Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Quantum mechanics concept
|
| gptkbp:basisFor |
gptkb:Spectral_decomposition
Quantum measurement Diagonalization of operators |
| gptkbp:canBe |
Non-degenerate
Degenerate |
| gptkbp:completeness |
Form a complete basis in Hilbert space (for Hermitian operators)
|
| gptkbp:definedIn |
A non-zero vector that only changes by a scalar factor when a linear operator is applied
|
| gptkbp:example |
Stationary state
|
| gptkbp:hasProperty |
Associated with a definite value (eigenvalue) of an observable
|
| https://www.w3.org/2000/01/rdf-schema#label |
Eigenstates
|
| gptkbp:mathematicalRepresentation |
|ψ⟩
|
| gptkbp:orthogonality |
Orthogonal if eigenvalues are distinct (for Hermitian operators)
|
| gptkbp:relatedTo |
gptkb:Hilbert_space
gptkb:Schrödinger_equation Hamiltonian operator Operators Eigenvalues Superposition principle Measurement in quantum mechanics Wavefunction collapse |
| gptkbp:satisfiesEquation |
A|ψ⟩ = λ|ψ⟩
|
| gptkbp:usedIn |
gptkb:Linear_algebra
gptkb:Quantum_mechanics Quantum chemistry |
| gptkbp:bfsParent |
gptkb:Wave_function_collapse
|
| gptkbp:bfsLayer |
7
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