Properties (61)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:physicist
|
| gptkbp:canBe |
Fourier transforms
|
| gptkbp:canLeadTo |
gptkb:Quantum_cryptography
Statistical mechanics Wave functions Expectation values In an orthonormal basis |
| gptkbp:foodPairing |
A_=_A†_(where_A†_is_the_adjoint_of_A)
|
| gptkbp:hasRelatedPatent |
gptkb:Quantum_Computing
|
| gptkbp:hasSpecialty |
Eigenvalues are real
Eigenvectors corresponding to distinct eigenvalues are orthogonal |
| https://www.w3.org/2000/01/rdf-schema#label |
Hermitian Operators
|
| gptkbp:isBasedOn |
Complex vector spaces
|
| gptkbp:isCharacterizedBy |
Symmetry properties
Symmetric_properties |
| gptkbp:isCitedBy |
Their_action_on_a_Hilbert_space
|
| gptkbp:isCounteredBy |
Bra-ket notation
Real symmetric matrices in finite dimensions Their commutation relations Hermitian_matrices_in_finite_dimensions |
| gptkbp:isDescribedAs |
Physical systems
Spin systems |
| gptkbp:isEngagedIn |
Quantum_State_Measurement
|
| gptkbp:isExploredIn |
Matrix form
|
| gptkbp:isFoundIn |
Mathematical_Physics
|
| gptkbp:isImportantFor |
Spectral Theorem
|
| gptkbp:isIntegratedWith |
Quantum_optics
Quantum_Theory |
| gptkbp:isInvolvedIn |
Quantum_tunneling_phenomena
|
| gptkbp:isLinkedTo |
Conservation laws in physics
|
| gptkbp:isRelatedTo |
gptkb:Quantum_field_theory
Unitary operators Observables in quantum mechanics The uncertainty principle Linear_Algebra Quantum_statistical_mechanics Quantum_correlations |
| gptkbp:isRepresentedIn |
Self-adjoint matrices
|
| gptkbp:isStudiedIn |
Functional Analysis
|
| gptkbp:isUsedBy |
Stability of quantum systems
Quantum_systems |
| gptkbp:isUsedFor |
Perturbation theory
Operator algebra Other operators to form new operators Sum of a normal operator and its adjoint Quantum_phase_transitions Linear_combinations_of_projection_operators Operators_on_a_complex_Hilbert_space |
| gptkbp:isUsedIn |
gptkb:Quantum_Mechanics
Transition probabilities Quantum_algorithms Quantum_Mechanics_formalism Quantum_harmonic_oscillators |
| gptkbp:isUtilizedFor |
Solve differential equations
Quantum_information_theory Quantum_state_evolution |
| gptkbp:keyIssues |
Quantum_entanglement
Quantum_decoherence |
| gptkbp:mayHave |
Matrix mechanics
Complex eigenvalues if not Hermitian Spectral_decomposition |