Schrödinger's equation is about energy.
We assume that there are two types of solutions depending on the geometry of the boundary conditions and the time dependence of the potential field applied to the quantum system:
1- The applied potential is continuous over time.
2-The applied potential is a kind of impulse or delta function which acts like a hammer on the quantum system.
The question is valid:
What are the mathematical and physical characteristics of the two?
Dear Dr. Ismail Abbas Unfortunately our perception of math on theatrical bases is wrong to blend it to nature, and it does not matter if it is force (gravity) or it is atom or time of any kind of nature, Don't mistake, our math is greatest tool for our calculation, but it is worst tool to mix it with nature that changing constantly thru temperature, pressure to show their identity, while a flat static mathematic does not recognize anything of texture of nature, such as Temp, pressure, color, taste....
Read some of my articles for more detail.
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