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    Lithiation of arylethers

    Is it possible someone can explain the point of doing this, I am having a really hard time grasping the concept. For example if I have anisole and I use butyl litium as a reagent, my understanding is that it will behave like a base and deprotanate the ring, resulting in a lithium bonded to the...
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    Is it okay to use dot/cross for free radical rxns

    I'm learning about various radical reactions, the thing is I'm still getting my head around 'half arrow' mechanisms. However for some reason the dot and cross model for these types of reactions is really intuitive and works great for my understanding. Is this a dangerous path to go down, to work...
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    Time evolution problem.

    Yes, so I do want to apply U to my <L,R| basis, but since H is not diagonal I have to perform a change of basis to my basis of eigenvectors where H is a diagonal matrix. Then I can apply my time evolution operator to that basis and then convert back into the <L,R| basis. At least that was my...
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    Time evolution problem.

    OK so if I apply S* to psiL(t)|L> + psiR(t)|R> this will change psi into the basis where V is diagonal which is what I want. I know S* = 1/sqrt(2) 1 1 1 -1 but how would I be able to apply this matrix to psiL(t)|L> + psiR(t)|R>?
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    Time evolution problem.

    I understand what dirac space is, and much of what is on that link I am okay with. The only point I can find that links the two notations is line 25 which is what I said in the last post. I'm not sure how to use this idea to solve the problem.
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    Time evolution problem.

    I honestly don't have much about this, it was glossed over so quickly. But like I say there was a bit where the position wavefunction was extracted from the state function like psi(x) = <x|X> or in the case of momentum psi(p) = <p|X>
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    Time evolution problem.

    I would do a linear transformation on my vector to change the basis set from one to the other. It all seems fairly straight forward in a linear algebra course. But here I'm struggling to get my head round it, I know V is the diagonal matrix that I want and D = S*HS. For an arbitrary vector x...
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    Time evolution problem.

    1. Homework Statement A box containing a particle is divided into a left and right compartment by a thin foil. The two orthonormal base kets |L> and |R> stand for the particle being in either the left or the right compartment, respectively. Hence, any state ket in our system can be...
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    Help with Operators written as components.

    I would appreciate if someone could set me straight here. I understand if I have an arbitrary operator, I can express it in matrix component notation as follows: Oi,j = <vi|O|vj> Is it possible to get a representation of the operator O back from this component form. I'm more interested...
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    Derivation of 1st london equation.

    This is my first time posting here, I apologize if this is the wrong place to ask such a question. In my book I have the following London equation written (1st) for a superconductor: E=μ0λ2L∂J/∂t where: λ2L is the london penetration depth. My understanding is that it can be derived...