time-independent
Adjective
Meaning
time-independent (not comparable)
(mathematics, physics) Not time-dependent; not determined by the value of a variable representing time.
Synonyms
Antonyms
Examples
A significant feature of Cauchy equation and consequently all other continuum equations (including Euler and Navier–Stokes) is the presence of convective acceleration: the effect of time-independent acceleration of a flow with respect to space.
Although it is possible to formulate Maxwell's equations with time-dependent surfaces and volumes, this is not actually necessary: the equations are correct and complete with time-independent surfaces.
In the quantum-mechanical model, a bound electron can only occupy a set of states centered on the nucleus, and each state corresponds to a specific energy level ; see time-independent Schrödinger equation for theoretical explanation.
In this paper, he gave a "derivation" of the wave equation for time-independent systems and showed that it gave the correct energy eigenvalues for a hydrogen-like atom.
Though the flow may be steady (time-independent), the fluid decelerates as it moves down the diverging duct (assuming incompressible or subsonic compressible flow), hence there is an acceleration happening over position.
Stationary states can also be described by a simpler form of the Schrödinger equation, the time-independent Schrödinger equation.