Schrödinger formulation of quantum mechanics
E508533
The Schrödinger formulation of quantum mechanics is the standard wave-mechanics approach in which the state of a quantum system evolves in time according to the Schrödinger equation acting on wavefunctions in Hilbert space.
All labels observed (4)
| Label | Occurrences |
|---|---|
| Schrödinger model | 2 |
| La mécanique ondulatoire de Schrödinger | 1 |
| Schrödinger formulation of quantum mechanics canonical | 1 |
| Schrödinger’s wave mechanics | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T5273773 — 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 formulation of quantum mechanics Context triple: [Heisenberg operator formulation of quantum mechanics, equivalentTo, Schrödinger formulation of quantum mechanics]
-
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.
Copenhagen interpretation of quantum mechanics
The Copenhagen interpretation of quantum mechanics is a foundational philosophical framework that emphasizes probabilistic wavefunctions, measurement-induced collapse, and the central role of observation in determining physical reality.
-
C.
Heisenberg operator formulation of quantum mechanics
The Heisenberg operator formulation of quantum mechanics is a foundational approach in which observables evolve in time as operators while states remain fixed, providing a mathematically equivalent description to other formulations such as Schrödinger’s and the path integral.
-
D.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
E.
Born rule in quantum mechanics
The Born rule in quantum mechanics is the fundamental postulate that connects a system’s wavefunction to experimentally observed probabilities by stating that measurement outcomes occur with probabilities given by the squared magnitude of the wavefunction’s amplitudes.
- 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 formulation of quantum mechanics Target entity description: The Schrödinger formulation of quantum mechanics is the standard wave-mechanics approach in which the state of a quantum system evolves in time according to the Schrödinger equation acting on wavefunctions in Hilbert space.
-
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.
Copenhagen interpretation of quantum mechanics
The Copenhagen interpretation of quantum mechanics is a foundational philosophical framework that emphasizes probabilistic wavefunctions, measurement-induced collapse, and the central role of observation in determining physical reality.
-
C.
Heisenberg operator formulation of quantum mechanics
The Heisenberg operator formulation of quantum mechanics is a foundational approach in which observables evolve in time as operators while states remain fixed, providing a mathematically equivalent description to other formulations such as Schrödinger’s and the path integral.
-
D.
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics is John von Neumann’s landmark 1932 treatise that rigorously formulates quantum theory using functional analysis and operator theory on Hilbert spaces.
-
E.
Born rule in quantum mechanics
The Born rule in quantum mechanics is the fundamental postulate that connects a system’s wavefunction to experimentally observed probabilities by stating that measurement outcomes occur with probabilities given by the squared magnitude of the wavefunction’s amplitudes.
- F. None of above. chosen
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
formulation of quantum mechanics
ⓘ
physical theory ⓘ wave mechanics ⓘ |
| alsoKnownAs |
Schrödinger picture
ⓘ
wave-mechanics formulation of quantum mechanics ⓘ |
| appliesTo | non-relativistic quantum systems ⓘ |
| assumes |
completeness of eigenstates of observables
ⓘ
linear evolution of quantum states ⓘ unitarity of time evolution ⓘ |
| basedOn | Schrödinger equation ⓘ |
| compatibleWith |
entanglement
ⓘ
superposition of states ⓘ |
| coreEquation |
time-independent Schrödinger equation
ⓘ
Ĥ|ψ⟩ = E|ψ⟩ ⓘ |
| describes | time evolution of quantum states ⓘ |
| frameworkType | first-quantized theory ⓘ |
| generalizedBy | relativistic quantum field theory ⓘ |
| historicallyIntroducedBy | Erwin Schrödinger ⓘ |
| implies | uncertainty relations ⓘ |
| introducedInYear | 1926 ⓘ |
| mathematicallyEquivalentTo |
Dirac formulation of quantum mechanics
ⓘ
Heisenberg formulation of quantum mechanics ⓘ |
| measurementPostulate | eigenvalue–eigenvector structure of observables ⓘ |
| observableRepresentation | self-adjoint operators on Hilbert space ⓘ |
| predicts | probability distributions of measurement outcomes ⓘ |
| relatedConcept |
density matrix formalism
ⓘ
path integral formulation of quantum mechanics ⓘ
linked to:
Feynman path integral
|
| stateRepresentation |
ket vector |ψ⟩
ⓘ
wavefunction ψ(x,t) ⓘ |
| stateSpace | complex Hilbert space ⓘ |
| timeEvolutionGivenBy |
iħ ∂|ψ(t)⟩/∂t = Ĥ|ψ(t)⟩
ⓘ
time-dependent Schrödinger equation ⓘ |
| usedIn |
atomic physics
ⓘ
condensed matter physics ⓘ molecular physics ⓘ quantum chemistry ⓘ quantum information theory ⓘ |
| usesConcept |
Born rule
ⓘ
linked to:
Born rule in quantum mechanics
Hamiltonian operator ⓘ
linked to:
Hamiltonian
Hilbert space ⓘ
linked to:
Hilbert spaces
linear operators ⓘ probability amplitude ⓘ state vector ⓘ superposition principle ⓘ unitary time evolution ⓘ wavefunction ⓘ |
| usesRepresentation |
energy eigenbasis
ⓘ
momentum representation ⓘ position representation ⓘ |
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 formulation of quantum mechanics Description of subject: The Schrödinger formulation of quantum mechanics is the standard wave-mechanics approach in which the state of a quantum system evolves in time according to the Schrödinger equation acting on wavefunctions in Hilbert space.
Referenced by (5)
Full triples — surface form annotated when it differs from this entity's canonical label.
Heisenberg operator formulation of quantum mechanics
→
equivalentTo
→
Schrödinger formulation of quantum mechanics
ⓘ
linked to: Schrödinger formulation of quantum mechanics
linked to: Schrödinger formulation of quantum mechanics
linked to: Schrödinger formulation of quantum mechanics
Bohr’s 1928 paper “The Quantum Postulate and the Recent Development of Atomic Theory”
→
influencedBy
→
Schrödinger’s wave mechanics
ⓘ
linked to: Schrödinger formulation of quantum mechanics