Is it true that electron wavefunction can be conceptualized as different periods the electron spends in all possible states, so when we interact with it it's more probable to find it in states in which it spends more time compared to states in which it spends less time just like unfair coin when it lands.
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Possibly forget about the concept of time spent and just consider the probability? With an unfair coin the "unfairness" is there at every instant of time. – Farcher Sep 22 '23 at 09:06
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Related: How do we know certain aspects of QM are unknowable? – Michael Seifert Sep 22 '23 at 11:36
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Such an interpretation throws away the quantum features. In other words - conceptualizing electron this way is misleading.
A wave function of an electron distributed among several states is a superposition of the eigenfunctions corresponding to these states: $$\psi(x)=\sum_nc_n\phi_n(x).$$ The probability density of finding electron at point $x$ is then $$ w(x)=|\psi(x)|^2=\sum_n\sum_m c_n c_m\phi_n^*(x)\phi_m(x)= \sum_n |c_n|^2|\phi_n(x)|^2 + \sum_n\sum_{m\neq n} c_n c_m\phi_n^*(x)\phi_m(x)$$ The suggested interpretation omits the second ("interference") term in the expression above, reducing QM to classical probability theory, where the uncertainty is only due to our ignorance of the state where electron is, but where otherwise it behave classically.
Roger V.
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Forgive me but I am not well versed in quantum mathematics. What is the problem with reducing it to epistemic uncertainty? How will this affect the predictive and explanatory power of the the theory? – Mahmoud Hassanein Sep 23 '23 at 21:56