hmparticle9's latest activity
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.I think of the system as a matrix-vector equation. Suppose that the state obtained when measuring ##B## was ##\phi_1## (with probability...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.We know that ##\{\phi_i\}## and ##\{\psi_i\}## are complete. We can write the state of the system as a linear combination of them. We...
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HCongrats on the SA award! Well deserved. :-)
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics."Just ask yourself what state the system is in after the second measurement and proceed the same way as you did after the first...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics."You may also want to consider Griffiths's parenthetical statement (Note that the answer would be quite different if I had told you the...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.@vela "Could you have expressed Ψ in terms of the eigenfunctions of ##\hat{A}## instead for this calculation? Sure." We start with...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.Okay. First, thank you (all of you) for persevering with me. QM is melting my brain a bit. So we start with ##\Psi = c_1\phi_1 + c_2...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.How can we conclude from $$\Psi = c_1\phi_1 + c_2 \phi_2.$$ that ##c_1 = \frac{3}{5}##?
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics."You need to consider the properties of the eigenfunctions of a hermitian operator (section 3.3)." You are referring to the axiom that...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.For instance, (3.45) says $$\Phi(x,t) = \sum_{n} c_n(t) f_n(x)$$ But we are dealing with eigenfunctions of different operators. I know...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.I have read this. "If the spectrum of ##\hat{Q}## is discrete, the probability of getting the particular eigenvalue ##q_n## associated...
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That's the whole point. You have a state ##\psi_n##, which is a linear combination of the states ##\phi_i##. The coefficients in that... -
Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.I think I have seen that. But one of my problems is with the fact that ##\psi_i## and ##\phi_i## are eigenfunctions of DIFFERENT...
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Hhmparticle9 replied to the thread Sequential measurements in quantum mechanics.Looking for this in my book there is this result called Borns statistical interpretation: $$\int_a^b |\Phi(x,t)|^2 dx = \{ \text{prob...
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Hhmparticle9 posted the thread Sequential measurements in quantum mechanics in Advanced Physics Homework Help.From results in my book (which I think are fairly standard across quantum mechanics) the answer to a) is ##\psi_1##. I will ask about...