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 PaulK (1 member, 212 visitors)
 
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Bill Holbert  

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Author  Topic: Introduction to Quantum Mechanics.  
Son Goku Member Posts: 1120 From: Ireland Joined: Member Rating: 4.0 
Yes. The notes have not explicitly reached this point, but that is what will be developed next. Testing xspin resets zspin to "?". We say they are incompatible observables, they cannot both possess definite values. (This will turn out to be the origin of the uncertainty principle.) Most of the mathematics really boils down to precisely quantifying the many forms "?" can take and getting quantitative predictions from it.
Correct.
Exactly. Essentially eliminating anything but the detection process as the source of the difference.
Yes, it is the direct analogue of the Double slit experiment for spin. The unfortunate thing about the double slit is that to describe it you need advanced mathematics (Hilbert spaces, complexvalued partial differential equations). However for spin, the mathematics is far simpler, vectors and matrices.
Actually that's totally accurate. We only need to develop an understanding of the "?" state, i.e. are there different types of "?", how do we describe them mathematically.
 
AZPaul3 Member Posts: 3518 From: Phoenix Joined: Member Rating: 3.2 
I look forward to the rest of your class and thank you very much for doing this.
 
Phat Member Posts: 11583 From: Denver,Colorado USA Joined: Member Rating: 1.2

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Readers, if you wish to ask Son Goku any questions, please reply to one of his posts rather than this one, so that he will be aware of your query. Chance as a real force is a myth. It has no basis in reality and no place in scientific inquiry. For science and philosophy to continue to advance in knowledge, chance must be demythologized once and for all. –RC Sproul "A lie can travel half way around the world while the truth is putting on its shoes." –Mark Twain " ~"If that's not sufficient for you go soak your head."~Faith Paul was probably SO soaked in prayer nobody else has ever equaled him.~Faith :)



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