What are advantages and disadvantages of hidden variable interpretation of quantum mechanics?
Advantage: Gives you a picture of what is going on irrespective of whether the system is measured or not.
Disadvantage: Dealing with additional variables makes the analysis more complex.
It means that hidden variable interpretation is physically more right than the other interpretations, am I wrong?
If it is the right hidden variable interpretation, then it is more right than other interpretations. Unfortunately, there is more than one hidden variable interpretation in the literature, and we don't know which one, if any, is the right one.
Could you mention those hidden variable interpretations, please?
Actually I want to study QM from hidden variable interpretation, which I think it give us more clear physical interpretation of QM than the other interpretations...
There is no right or wrong here. Its purely what floats your boat.
Bohmian mechanics is the most carefully worked out hidden variable interpretation that is also consistent with experiment. However....
It will be more effective to learn the mathematical formalism through the minimal statistical interpretation first. Once you have a clear idea of exactly what that formalism does and doesn't do, you'll be better able to make sense of the various interpretations. One reasonable paths is to work through a first-year QM textbook, and then get started with Ballentine; there are more mathematical approaches as well, but others here will comment more sensibly on them than I can.
My suggestion is the following sequence:
It starts from the basics and gradually gets more advanced.. Don't skip the early on books - they may be basic but develop valuable intuition.
That's why I used "more right" term. What I mean by "more right" is that hidden variable interpretation gives us more physical reason behind the strange of QM. I think the collapse wave function, for example, is like a magic and therefore we should search for more physical interpretation, i.e. via hidden variable.
I've just finished my course on "usual" elementary QM. My lecturer used Griffiths and I studied Bluumel for my own addition. How about that?
Oh, thanks sir!
With that background, you are certainly ready to study the Bohmian hidden-variable approach. I recommend
a large part of which can also be taken as a textbook for standard QM.
Is there any other at all?
Many-world interpretation and dynamic-collapse interpretations (e.g. GRW) are also sometimes classified as hidden-variable interpretations. Namely, these interpretations assert that wave function is an ontological real stuff existing even when we don't measure it, which is what makes it hidden. One should distinguish hidden variables from additional variables, where additional means something added to the wave function. Bohmian theory has additional variables, while MWI and GRW do not have additional variables.
The Bohmian theory is not the only theory with additional hidden variables, but others are not widely known. One example is my solipsistic hidden variables, which is mathematically very similar to Bohmian theory but philosophically very different from it.
I refuse to answer that question, on the grounds that by limiting myself to the most uncontroversial example I hope to avoid becoming embroiled in a discussion of classification of interpretations.
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