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.
Observed surface forms (2)
| Surface form | Occurrences |
|---|---|
| La mécanique ondulatoire de Schrödinger | 1 |
| Schrödinger model | 1 |
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
formulation of quantum mechanics
ⓘ
physical theory ⓘ wave mechanics ⓘ |
| alsoKnownAs |
Schrödinger picture
NERFINISHED
ⓘ
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 NERFINISHED ⓘ |
| 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 NERFINISHED ⓘ |
| implies | uncertainty relations ⓘ |
| introducedInYear | 1926 ⓘ |
| mathematicallyEquivalentTo |
Dirac formulation of quantum mechanics
ⓘ
Heisenberg formulation of quantum mechanics NERFINISHED ⓘ |
| measurementPostulate | eigenvalue–eigenvector structure of observables ⓘ |
| observableRepresentation | self-adjoint operators on Hilbert space ⓘ |
| predicts | probability distributions of measurement outcomes ⓘ |
| relatedConcept |
density matrix formalism
NERFINISHED
ⓘ
path integral formulation of quantum mechanics NERFINISHED ⓘ |
| 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
NERFINISHED
ⓘ
Hamiltonian operator NERFINISHED ⓘ Hilbert space NERFINISHED ⓘ linear operators ⓘ probability amplitude ⓘ state vector ⓘ superposition principle ⓘ unitary time evolution ⓘ wavefunction ⓘ |
| usesRepresentation |
energy eigenbasis
ⓘ
momentum representation ⓘ position representation ⓘ |
Referenced by (3)
Full triples — surface form annotated when it differs from this entity's canonical label.
this entity surface form:
Schrödinger model
Heisenberg operator formulation of quantum mechanics
→
equivalentTo
→
Schrödinger formulation of quantum mechanics
ⓘ
this entity surface form:
La mécanique ondulatoire de Schrödinger