How are transistors and QM tied

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Transistors operate based on quantum mechanics (QM), with their behavior and properties reliant on quantum effects, especially as their size decreases. Semiconductors, which form the basis of transistors, require QM to explain their characteristics, including n-type and p-type doping. The interaction of these semiconductors in junctions, such as np and pnp configurations, is also governed by QM principles, influencing charge transport and phenomena like tunneling. While the concept of superposition is inherent in QM, it is more relevant to individual charge carriers than to the semiconductor as a whole. Overall, understanding the quantum mechanics behind transistors is crucial for grasping their functionality.
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I know that transistors work using QM, but I don't know how, can someone explain this to me?
 
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Practically everything special about them is owed to some quantum effect - so that would be a lot of typing.
Tell us first how you understand transisters working and then I'll show you the quantum :)

Meantime there are a lot of explanations online at various levels.
http://www.madsci.org/posts/archives/2000-03/952639215.Ph.r.html
http://spectrum.ieee.org/semiconductors/devices/the-tunneling-transistor

Technically, of course, everything works using QM - it's just that some things exploit the special nature of QM more than others. The smaller the transistor (or anything) the more important the details of quantum effects become.
 
batmanandjoker said:
I know that transistors work using QM, but I don't know how, can someone explain this to me?

Transistors are made of semiconductors. The physics of semiconductors themselves can only be described using quantum mechanics. This is how one can understand the various types of doped semiconductors (n-type and p-type).

Next, when you sandwich these semiconductors together to form junctions (np, pn, npn, pnp, etc.) that make up a transistor, how they behave and their properties can only be described via quantum mechanics. This includes not only how the charges are transported, but also in describing tunnel diodes properties, a purely quantum phenomenon.

Zz.
 
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Are semi conducters in a state of superposition? I know its an exchane of electrons. Thanks
 
batmanandjoker said:
Are semi conducters in a state of superposition? I know its an exchane of electrons. Thanks

What exactly does that mean?

You need to remember that "superposition" comes "naturally" out of the way QM describes a system. It is almost an inevitable part of the description. We almost never ask such a question.

The semiconductor is not in a state of superposition. The charge carriers are, at least from the description used to arrive at the band structure.

I think, anything that goes beyond what I had answered will go over your head and it will simply be nothing more than random bits and pieces without any coherent picture.

Zz.
 
batmanandjoker said:
Are semi conducters in a state of superposition? I know its an exchane of electrons. Thanks
Pretty much as ZapperZ said - everything can be represented as a superposition of quantum states. You need to be more specific. What is your interest?

I don't think it is useful to consider the quantum state of the whole semiconductor when you are thinking about how it works. Better to think of the state of the individual charge carriers.
In operation, they are always represented as superpositions of some kind.

Don't know what you mean by "exchange of electrons". I suspect you are confusing terminology. Understanding about electrons and holes is essential to understanding semiconductors: gives you a starting place for searching the web :)

However, I believe your original question has been answered.
 
I am slowly going through the book 'What Is a Quantum Field Theory?' by Michel Talagrand. I came across the following quote: One does not" prove” the basic principles of Quantum Mechanics. The ultimate test for a model is the agreement of its predictions with experiments. Although it may seem trite, it does fit in with my modelling view of QM. The more I think about it, the more I believe it could be saying something quite profound. For example, precisely what is the justification of...

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