If you have a situation in a steady state ("at rest") it would be pointless to introduce consideration of time dependence into any discussion or calculation relating to the problem. In fact, if you did include it, the first thing that would happen in your calculation would be that time variation would drop out of all consideration. So it would be pointless to include in the first place. On the other hand if you are calculating a changing situation, it would be foolish not to include time.
The time-independent Schr
the dependent variable changes with the independent variable. the independent variable only changes when changed by the experimenter. Time is usually an independent variable.
Every time the independent variables change, the dependent variables change.Dependent variables cannot change if the independent variables didn't change.
Independent variables can take values within a given boundary. The dependent variable will take values based on the independent variable and a given relationship at which the former can take its values.
No. If you are studying waiting time, for example at a bank, the waiting time could be the dependent variable with the number of open windows as the independent variable.
Observing the change in salinity of water over time can be independent or dependent. This depends on the experiment.
The time-independent Schr
The time-independent Schrödinger equation is more general as it describes the stationary states of a quantum system, while the time-dependent Schrödinger equation describes the time evolution of the wave function. The time-independent equation can be derived from the time-dependent equation in specific situations.
the dependent variable changes with the independent variable. the independent variable only changes when changed by the experimenter. Time is usually an independent variable.
independent
If you measure the temperature every hour, then time is the independent variable (value), and temperature is the dependent variable (value).
Every time the independent variables change, the dependent variables change.Dependent variables cannot change if the independent variables didn't change.
Independent variables can take values within a given boundary. The dependent variable will take values based on the independent variable and a given relationship at which the former can take its values.
In a position versus time graph, time is typically considered the independent variable because it is controlled by the experimenter and is used to measure the dependent variable, which is position. The position of an object (dependent variable) changes over time (independent variable), and thus position is plotted against time to show how it varies based on the passage of time.
The independent variable (such as time) is places on the x-axis of a graph. Always place the things that will never change on the x-axis. The dependent variable is then placed on the y-axis. The difference between the independent and dependent variable is that the independent variable in an experient does not change it is what stays constent, it is what is used to measure the dependent variable. On the other hand the dependent variable is what the experiment is testing for and what depends on the independent variable.
Independent means that it is a variable that is unaffected by other variables. For example, in terms of acceleration, velocity is the dependent variable, and time is the independent variable. Velocity is dependent upon time, but time is not dependent upon velocity. Of course, technically speaking, this is only for nonrelativistic scenarios. If velocity is extreme (near the speed of light) time IS affected by velocity in spacetime. But, that's a different issue.
Time is typically considered an independent variable because it is under the control of the experimenter and is used to measure the changes in the dependent variable, which is position in this case. Position, on the other hand, is dependent on time as it varies based on the specific time interval being measured. Position changes as time progresses, making it the dependent variable in this context.