Schrödinger equation (time-dependent, 1D)
GPTKB entity
Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
partial differential equations
|
| gptkbp:appliesTo |
quantum mechanics
|
| gptkbp:category |
gptkb:quantum_physics
mathematical physics |
| gptkbp:describes |
quantum state evolution
|
| gptkbp:dimensions |
one
|
| gptkbp:form |
iħ ∂ψ/∂t = - (ħ²/2m) ∂²ψ/∂x² + V(x,t)ψ
|
| gptkbp:formedBy |
gptkb:Erwin_Schrödinger
1926 |
| gptkbp:function |
potential energy (V(x,t))
|
| gptkbp:hasConstant |
gptkb:Planck_constant_(ħ)
mass (m) |
| https://www.w3.org/2000/01/rdf-schema#label |
Schrödinger equation (time-dependent, 1D)
|
| gptkbp:solvedBy |
wave function
|
| gptkbp:usedIn |
gptkb:quantum_harmonic_oscillator
quantum tunneling quantum scattering particle in a box |
| gptkbp:variant |
gptkb:time_zone
position |
| gptkbp:bfsParent |
gptkb:Ordinary_Differential_Equations
|
| gptkbp:bfsLayer |
6
|