This afternoon, after Dr Roland Caballar delivered a lecture to the Theory Group of Dr Eric Galapon, something was observed after sometime - there is no escape with the Gaussians. In quantum mechanics, most of the topics to be dealt with involve such kind of function. That is why if someone wants to practice research in quantum mechanics, particularly in quantum measurements, he should be able to master dealing with such functions.
Actually, I first heard of this Gaussian functions, or should I say Gaussian distributions, in my high school statistics. This function seems to be something easy to deal with because of its trend. Someone may be familiar with this Gaussian function by seeing a kind of a graph that is "mountain-shaped." It starts with low values asymptotic to the x-axis, goes up at some point until it reaches a peak in the middle, and declines ones more to values asymptotic to the x-axis.
However, one may ask why Gaussians are the ones worth more attention in quantum mechanics. Why not the Bessel functions or the other ones? Now, this may put on some interest to a curious researcher because he may always try. And who knows? He may also get something more interesting out of dealing with those functions other than the Gaussians.
These dealing with the Gaussians does apply not only in quantum mechanics. Actually, the complex system scale-free principle is also obeyed. This scale-free principle is the one that states "the rich gets richer." Gaussian functions are easy to evaluate that's why more researchers tend to deal with it than the others. However, this does not mean that there is no one left to be interested with the other functions but those interested with the others are much lesser in quantity.
Now, this Gaussian thingy also applies in life when one things seems to be easy to achieve or is very popular. If that's the case of something, everyone wants it. But, there are some things in life other than the ones easy to achieve or the ones popular. Some do try to go with those things and tell that they find something more worth enjoying with them.
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