Schrödinger picture
E508534
The Schrödinger picture is a formulation of quantum mechanics in which states evolve in time according to the Schrödinger equation while observables remain fixed.
All labels observed (2)
| Label | Occurrences |
|---|---|
| Schrödinger picture canonical | 4 |
| Schrödinger picture in quantum field theory | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5273788 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Schrödinger picture Context triple: [Heisenberg operator formulation of quantum mechanics, contrastsWith, Schrödinger picture]
-
A.
Schrödinger equation
The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
-
B.
Dirac notation
Dirac notation is a mathematical formalism in quantum mechanics that uses bra–ket symbols to concisely represent quantum states and their inner products.
-
C.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
D.
Wheeler–DeWitt equation
The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
-
E.
Pauli equation
The Pauli equation is a non-relativistic quantum mechanical wave equation that extends the Schrödinger equation to include spin-½ particles interacting with electromagnetic fields.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Schrödinger picture Target entity description: The Schrödinger picture is a formulation of quantum mechanics in which states evolve in time according to the Schrödinger equation while observables remain fixed.
-
A.
Schrödinger equation
The Schrödinger equation is the fundamental equation of non-relativistic quantum mechanics that governs how the quantum state of a physical system evolves over time.
-
B.
Dirac notation
Dirac notation is a mathematical formalism in quantum mechanics that uses bra–ket symbols to concisely represent quantum states and their inner products.
-
C.
Dirac equation
The Dirac equation is a fundamental relativistic wave equation in quantum mechanics that describes spin-½ particles such as electrons and predicts phenomena like antimatter.
-
D.
Wheeler–DeWitt equation
The Wheeler–DeWitt equation is a fundamental equation in quantum gravity that attempts to describe the quantum state of the entire universe without reference to time.
-
E.
Pauli equation
The Pauli equation is a non-relativistic quantum mechanical wave equation that extends the Schrödinger equation to include spin-½ particles interacting with electromagnetic fields.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
formulation of quantum mechanics
ⓘ
representation in quantum mechanics ⓘ |
| appliesTo |
non-relativistic quantum mechanics
ⓘ
quantum field theory ⓘ |
| assumes |
Born rule for probabilities
ⓘ
linked to:
Born rule in quantum mechanics
Hilbert space structure of quantum states ⓘ linearity of quantum evolution ⓘ |
| contrastedWith | Heisenberg picture where operators carry time dependence ⓘ |
| differsFrom |
Heisenberg picture by distribution of time dependence
ⓘ
interaction picture by treatment of free and interaction parts of Hamiltonian ⓘ |
| energyEigenstatesSatisfy | H|Eₙ⟩ = Eₙ|Eₙ⟩ ⓘ |
| equivalentTo |
Heisenberg picture
ⓘ
interaction picture ⓘ path integral formulation under suitable conditions ⓘ |
| formalismUses |
kets |ψ(t)⟩ for states
ⓘ
time-independent operators  for observables ⓘ |
| hasAdvantage |
convenient for solving time-dependent potentials
ⓘ
intuitive wavefunction description in configuration space ⓘ natural connection to classical limit via wave packets ⓘ |
| hasCharacteristic |
observables are time-independent in the Heisenberg sense
ⓘ
operators representing observables are fixed in time ⓘ states evolve in time ⓘ time dependence carried by state vectors ⓘ |
| hasCoreConcept |
Hamiltonian operator
ⓘ
linked to:
Hamiltonian
state vector in Hilbert space ⓘ wavefunction ⓘ |
| hasGeneralization |
Schrödinger picture in quantum field theory
ⓘ
linked to:
Schrödinger picture
|
| hasHistoricalContext |
developed in the 1920s
ⓘ
introduced after matrix mechanics of Heisenberg ⓘ |
| hasInterpretation | wavefunction as probability amplitude ⓘ |
| hasMeasurementPostulate | projection postulate on eigenstates of observables ⓘ |
| isUsedIn |
atomic physics
ⓘ
condensed matter physics ⓘ quantum chemistry ⓘ quantum information theory ⓘ |
| namedAfter | Erwin Schrödinger ⓘ |
| probabilityDensityGivenBy | |ψ(x,t)|² in position representation ⓘ |
| relatedConcept |
Dirac bra–ket notation
ⓘ
linked to:
Dirac notation
Schrödinger equation ⓘ state vector formalism ⓘ wave mechanics ⓘ |
| timeEvolutionOfEnergyEigenstate | |Eₙ(t)⟩ = e^{−iEₙt/ħ}|Eₙ(0)⟩ ⓘ |
| timeEvolutionOfStatesGivenBy | unitary time-evolution operator ⓘ |
| timeEvolutionOperator | U(t,t₀) = exp[-(i/ħ)H(t−t₀)] for time-independent H ⓘ |
| usesEquation |
iħ ∂|ψ(t)⟩/∂t = H|ψ(t)⟩
ⓘ
time-dependent Schrödinger equation ⓘ |
| usesMathematicalStructure |
complex Hilbert space
ⓘ
self-adjoint operators for observables ⓘ unitary operators for time evolution ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Schrödinger picture Description of subject: The Schrödinger picture is a formulation of quantum mechanics in which states evolve in time according to the Schrödinger equation while observables remain fixed.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
linked to: Schrödinger picture