Why discontinue(quantum)characteristic ultimately relates with probability in QM?

[ndung200790]

Please teach me this:
Why discontinue(quantum) characteristic ultimately relates with probability characteristic in Quantum Mechanics(and Quantum Field Theory).It seem to me the discontinue spectral of an observation correspond with a ''integral measure'' of a type of integral.So the probability of finding the observation has a eigenvalue(meaning a certain value) in reality is this ''measure''.
Thank you very much in advanced.

 

[_PJ_]

(Apologies if I've misunderestood the question, please let me know if I have)

Because the nature of what is being measured is inherently probabilistic, any results will yield only within the probability range. Whether or not this value was expected or not, before the measurement is made, there is no specific value.

Similar to flipping a coin. You can flip a coin once and get heads or tails. You KNOW both before and after it would be Heads or Tails, but stuill could never predict precisely what (ignoring the actual method of flipping, coin composition and environment).
So when numerous results yield ratio of 1:1 Heads:Tails, they fit perfectly with expected values, though ultimaterly, individual results are entirely probabilistic.

 

[ndung200790]

Dear Sir,
Please explain for me why in classical physics(non quantum mechanics in which a spectral of values of an observation is continue) there is the determinant characteristic(in imaginary experiment),but in the physics of the discontinue spectral value there is the uncertainty characteristic.Because I do not know clearly how to derive wave characteristic in QM from the discontinue characteristic of observation values.

 

[ndung200790]

It seem to me that the discontinue values of an observation correspond to ''creation and anhialation'' operators, so we have a changeable number of ''quantums'' system.Maybe the statistical characteristic of QM arise from this changeable system.

 

[ndung200790]

It seem that the particle-wave dual leads to probability characteristic and the wave function together the correspondence principle (wave functions+operators) leads to quantum characteristic(spectral of values) in Quantum Mechanics.But how about the probability characteristic of the creation and anhilation of particles(quantum) processes in Quantum Field Theory?

 

[Demystifier]

Dear Sir,
Please explain for me why in classical physics(non quantum mechanics in which a spectral of values of an observation is continue) there is the determinant characteristic(in imaginary experiment),but in the physics of the discontinue spectral value there is the uncertainty characteristic.

There is no any direct relation between discontinuity and uncertainty. In fact, "quantum mechanics" (QM) is an inappropriate name because discontinuity is actually NOT an essential property of QM. Indeed, many observables in QM are continuous, and still obey the uncertainty principle. In fact, the inappropriate name "quantum mechanics" is stuck due to historical reasons, when it was thought a long time ago that discontinuity is more important than it really is.

 

[ndung200790]

So,the probability of creation or anhilation processes of a quantum of field(in Quantum Field Theory) is an a priori assumption which is generalized from the ''uncertainty'' in Quantum Mechanics?

 

[Demystifier]

So,the probability of creation or anhilation processes of a quantum of field(in Quantum Field Theory) is an a priori assumption which is generalized from the ''uncertainty'' in Quantum Mechanics?

Yes (more or less).