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Technological Research Area

03/27/2013 1:42 PM

Guys, can some one help to make me understand the reality of schrodinger's wave equation in our real life today; either in the area of electronics, mechanical systems or any other field, like medicine. everything about seem mathematical and not practical. However small the application may be, i will appreciate. Thanks, my masters.

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Peter Iyere
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Guru

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#1

Re: Technological Research Area

03/27/2013 2:48 PM

You probably won't find everyday practicality is his equations.

Schrodinger is however pretty essential to quantum physicists.

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#2

Re: Technological Research Area

03/27/2013 2:56 PM

Schrodinger's equation is inter-related to a wide variety of topics in Physics, many of which show up in 'the background' of a lot of electrical engineering and optical (radiation) engineering. (Like solid state Physics and the process of designing diodes and transistors.)

There's a neat website called Hyperphysics (done by Georgia State University in Atlanta) that you can explore that shows how many of the topics in Physics are related to each other. Here's a link to one of the secondary pages that focuses in on quantum mechanics.

hyperphysics

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#5
In reply to #2

Re: Technological Research Area

03/28/2013 10:48 AM

Thanks for the link. I was afraid I was going to run out of interesting sites to explore on the Web. Now I won't do anything productive all day.

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#8
In reply to #2

Re: Technological Research Area

03/28/2013 6:22 PM

I noticed in the link there was no line going to applications. I wonder if that was intentional.

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#3

Re: Technological Research Area

03/27/2013 3:18 PM

I'm not sure what you are looking to explore. As far as I know, Schroedinger's wave equation has been fully solved only for the Hydrogen atom. This solution does agree with spectral line observations so the Hydrogen atom, thus the principles are considered proven. However the simple addition of the second charged particle when one considers an atom of Helium that has two electrons and one nucleus, makes an unsolvable three body problem.

Now the quantum mechanic principles that Schroedinger's wave equation uses are the fundamental ideas that lead to solid state theory. I find one of the most interesting devices that requires an understanding of quantum mechanics is a zener diode. This is now considered under graduate material in any good electrical engineering program. This is not new research.

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#4
In reply to #3

Re: Technological Research Area

03/27/2013 5:37 PM

Hello redfred:

Thank you for that post, now I'm intrigued about that relationship, I'll do my best at finding an explanation (for dummies).

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#6
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Re: Technological Research Area

03/28/2013 3:27 PM

I think you mean exact solutions. And as I recall, they've done exact solutions for the various isotopes of hydrogen as well as for isotopes of once-ionized helium and doubly-ionized lithium. Aside from those, they've done numeric solutions of it for many other cases, IIRC.

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#7
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Re: Technological Research Area

03/28/2013 3:48 PM

We are both splitting hairs here but I believe that isotopes of Hydrogen and single electron ions of heavier elements must also be only approximations due to the spatial electrostatic shading one gets from the neutrons. These electron orbital approximations can be considered insignificant in comparison to multiple electrons and a nucleus but they are still an approximation.

Speaking of hair splitting, the spin of an electron doesn't matter until one has at least two of them.

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#9

Re: Technological Research Area

06/12/2013 4:09 PM

Equation is operated on some characteristic wavefunction (equation) which is very natural fitting to what you have physical observation or hypothesis on hand. You can use energy and momenom operators to see if wavefunction yields a solution which is also called eign values or quantization possibilities of the natural process where energy density or particle density shows a maxima or a home to sustain.

Assume free electrons in metal and we call them partcles in a well and then naturally they find their own quantized energy level simlar to what you seen in atom for electrons and in larger system like sun and its planets having definite place in orbits of kinetic energy of the objects.

Whether classical or Quantum, you need an equation to fit into variable you observe. Quantum equations are for the probability of occurances. Wave function speads over time and space or into many dimensions. However, you limit its use to where your interest lies at maximum usable information.

You need to have some basic idea of probability and statistical data analysis for better understanding of Quantum mechanics as that is the starting point and base for this probabilisc Quantum Physics of possibilities rather than assumed classical realities.

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